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CBSE Questions for Class 8 Maths Comparing Quantities Quiz 1 - MCQExams.com
CBSE
Class 8 Maths
Comparing Quantities
Quiz 1
Cost of $$5$$ pens is Rs. $$15$$. Find the cost price of $$100$$ pens.
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0%
Rs. $$150$$
0%
Rs. $$30$$
0%
Rs. $$100$$
0%
Rs. $$300$$
Explanation
Cost of $$5$$ pens $$=Rs. 15$$
Cost of $$1$$ pen $$=Rs. \dfrac{15}{5}=Rs. 3$$
Cost of $$100$$ pens $$=Rs, \begin{bmatrix}3\times100\end{bmatrix}=Rs. 300$$
A share is said to be ______, if its market value is less than its face value.
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0%
premium
0%
at par
0%
at discount
0%
dividend
Explanation
A share is said to be at discount, if its market value is less than its face value.
Which option is an example of interest on interest?
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0%
simple interest
0%
compound interest
0%
complex interest
0%
annual interest
Explanation
Compound interest is an example of interest on interest.
Which tax is paid to government for the sales of certain goods and services?
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0%
VAT
0%
sales tax
0%
income tax
0%
business tax
Explanation
Sales tax is paid to government for the sales of certain goods and services.
If the selling price of 50 articles is equal to the cost price of 40 articles then the loss and gain percent is
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0%
20% gain
0%
20% loss
0%
25% loss
0%
25% gain
Explanation
Let C.P of one article =1 Rs.
Then C.P of 40 article=40 Rs.
According to the question
S.P of 50 article =C.P of 40 article=40 Rs.
We assume that C.P of one article =1Rs.
then C.P of 50 article=50 Rs.
Loss=50-40=10 Rs.
Loss %=$$\frac{10}{50}\times 100=20$$%
Two-third of one-seventh of a number is $$87.5$$% of $$240$$. What is the number?
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0%
$$2670$$
0%
$$2450$$
0%
$$2205$$
0%
$$1470$$
Explanation
Given, $$\dfrac {2}{3}$$ of $$\dfrac {1}{7}$$ of a number say $$x$$ is $$87.5\%$$ of $$240$$.
$$\therefore \displaystyle \frac{2}{3}\times\frac{1}{7}\times x=\frac{87.5}{100}\times240$$
$$\displaystyle \Rightarrow x =\frac{87.5\times240\times3\times7}{2\times100}=2205$$
therefore, the number is $$2205$$.
A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee At what price per dozen should he sell them to make a profit of 20%?
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0%
Rs 4
0%
Rs 5
0%
Rs 6
0%
Rs 7
Explanation
Let he bought 1 dozen clips of each kind.
C.P of 2 dozen=$$\frac{1}{3}\times 12+\frac{1}{2}\times 12=10 Rs$$
S.P of 2 dozen=$$120\% of 10 = Rs\dfrac{120}{100}\times 10=12 Rs$$
Hence S.P per dozen=6 Rs.
Tax on imports is an example of __________
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0%
Indirect tax
0%
Trade barrier
0%
Sales tax
0%
Direct tax
Explanation
Any restriction imposed on the free flow of
trade
is a
trade barrier
.
Trade barriers
can either be tariff
barriers
(the levy of ordinary negotiated customs duties in accordance with Article II of the GATT) or non-tariff
barriers
, which are any
trade barriers
other than tariff
barriers
Tax on imports is an example of Trade Barrier.
The correct relationship is
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0%
$$A+C.I=P$$
0%
$$C.I-P=A$$
0%
$$C.I=A-P$$
0%
None of these
Explanation
$$\text{Compound Interest} (C.I) = \text{Amount} (A) - \text{Principal} (P)$$
$$C.I = A - P$$
Mechanic Raj purchased a motorcycle for Rs. 20,000 and sold it at 5% loss. Its selling price is
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0%
$$Rs.\displaystyle\frac{5}{100}\times 20,000$$
0%
$$Rs.\displaystyle\frac{95}{100}\times 20,000$$
0%
$$Rs.\displaystyle\frac{105}{100}\times 20,000$$
0%
$$Rs.\displaystyle\frac{100}{95}\times 20,000$$
Explanation
$$Cost = Rs 20000$$
$$Loss = 5$$%
$$Loss = \frac{5 \times 20000}{100}$$
$$SP = CP - Loss$$
$$SP = 20000 - \frac{5 \times 20000}{100}= Rs \frac{95 \times 20000}{100}$$
Which of the following is a direct tax?
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0%
Excusive
0%
Sales Tax
0%
Income Tax
0%
None of these
Explanation
A direct tax is a tax, which is levied on the income or profits of the person who pays it, rather than on goods or services.
A
direct tax
is paid directly by an individual or organisation to an imposing entity.
A taxpayer, for example, pays
direct taxes
to the government for different purposes, including real property
tax
, personal property
tax
, income
tax
or
taxes
on assets.
Therefore, income tax is a direct tax.
Hence, option C is correct.
An example of property tax
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0%
Wealth tax
0%
Income tax
0%
Sales tax
0%
Excise duty
Explanation
Property tax
refers to the annual amount paid by a
property
owner to the local government or the municipal corporation of his/her area.
Property tax
is a kind of direct
tax
levied directly on
properties
such as real estate
property
, shop, house, office building, rented
properties
and land.
It is a tax
based on the market value of assets that are owned.
Thus, wealth tax is an example of property tax.
Hence, option A is correct.
A and B invest Rs 200 and Rs 300 respectively in a business for a period for three years and two years respectively. Then the profit will be divided into the ratio of
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0%
4:3
0%
2:3
0%
1:1
0%
6:5
Explanation
$$Ratio\quad in\quad which\quad they\quad should\quad share\quad their\quad profits=Raio\quad of\quad investments\times \quad Time\quad period$$
$$=\frac { 200\times 3 }{ 300\times 2 } =\frac { 600 }{ 600 } =1:1$$
Jayant sold two books at Rs 14 each. On one he gains 20% and on the other loses 20%. Then he made
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0%
no profit no loss
0%
loss of 4%
0%
gain of 1%
0%
none of these
Explanation
on the first article Jayant gains 20%
so if CP is 100, selling price will be 120 and profit will be Rs20
when selling price is 120 profit is 20
when selling price is 14 profit is $$=\frac { 20 }{ 120 } \times 14=2.33$$
cost price =selling price-profit
=14-2.33
=Rs11.67
on second article he losses 20%
so if CP is 100, selling price will be 80 and Loss will be Rs20
when selling price is 80 loss is 20
when selling price is 14 loss is $$=\frac { 20 }{ 80 } \times 14=3.5$$
cost price is =selling price+loss
=14+3.5
=17.5
total selling price=14+14=Rs28
total cost price=17.5+11.67=Rs29.17
net loss=29.17-28=Rs1.17
loss percantage=$$=\frac { 1.17 }{ 29.17 } \times 100=4$$
he makes a loss of 4%
The list price of a parker pen is Rs 160 and a customer buys it for Rs 122.40 after two successive discounts. If first is 10% then the second is
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0%
18%
0%
17%
0%
16%
0%
15%
Explanation
Total discount $$= Rs 160 -Rs 122.40 = Rs 37.60$$
1st discount $$= 10\% of Rs 160 = Rs 16$$.
2nd discount $$= Rs 37.60-Rs 16 = Rs 21.60$$
Balance after firsr discount $$= Rs 160-Rs 16 = Rs 144$$.
If 2nd discount is $$x\%$$, then $$x\% of Rs 144 =Rs 21.60$$, so $$x =15$$.
When the price of eggs is reduced by 20% it enables a man to buy 20 more eggs for RsThen the reduced price per egg is:
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0%
38 paise
0%
40 paise
0%
42 paise
0%
44 paise
Explanation
Let's say Price per egg $$=x$$
Number of eggs bought for $$Rs40= $$ $$\dfrac{40}{x}$$
Reduced price of egg $$= x-20\%$$ of $$x$$
$$\Rightarrow x-0.2x=0.8x$$
Number of eggs that can be bought=$$\dfrac{40}{0.8x}$$
As per question,
$$\Rightarrow \dfrac { 40 }{ 0.8x } -\dfrac { 40 }{ x } =20$$
$$\Rightarrow \dfrac { 40-32 }{ 0.8x } =20$$
$$\Rightarrow \dfrac { 8 }{ 0.8x } =20$$
$$\Rightarrow 16x=8$$
$$\Rightarrow x=2$$
Reduced price $$= 2\times \dfrac { 20 }{ 100 } =0.40\ paise$$
Hence, the reduced price per egg will be 40 paise as 20% of Rs 2 is 40paise.
By giving a discount of 10% on the marked price of Rs 1,100 of a sewing machine a dealer gains 10%, then the cost price is
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0%
Rs 900
0%
Rs 950
0%
Rs 1,000
0%
Rs 1,050
Explanation
Market price $$= 1100$$
Discount of $$10\%$$ is given on marked price,
So selling price will be$$=1100-1100\times \dfrac { 10 }{ 100 } $$
$$=\left( 1100-110 \right)$$
$$ =990$$
Even after giving discount of $$10\%$$, dealer gains $$10\%$$ on cost price,
If selling price is $$110$$, cost price will be $$100$$
If selling price is $$990$$, cost price will be$$=\dfrac { 100 }{ 110 } \times 990$$
$$=900$$
Cost price is $$Rs 900$$
Ranga buys a car for Rs 1,00,000 and spends Rs 20,000 on repairs. He rents it and earns Rs 4,000 per month. After 8 months, he sells the car for Rs 1,00,His total earning in rupees is
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0%
15,000
0%
18,000
0%
20,000
0%
12,000
Explanation
Total investment $$= 1,00,000 + 20,000 = 1,20,000$$
His earning in 8 months $$= 4,000 \times 8 = 32,000$$
Total earnings $$= 1,00,000 + 32,000 -1,20,000 = 1,32,000 -1,20,000 =Rs 12,000$$
Which tax is collected by Panchayat?
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0%
Sales Tax
0%
Custom Duty
0%
Land Revenue
0%
Tax on local fairs
Explanation
Tax on Local Affairs is collected by Panchayat.
All other taxes are collected by Central Government.
Which of the following is a source of income of the Gram Panchayats ?
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0%
Income Tax
0%
Sales Tax
0%
Professional Tax
0%
Levy duties
Explanation
Levy Duties constitute to the source of income of the Gram Panchayats.
All other sources constitute to the income of Central Government.
Which of the following statement is incorrect
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0%
If S.P is less than C.P, the seller is said to have incurred a loss
0%
The price at which an article is sold is called its selling price
0%
If C.P is less than S.P, the seller is said to have incurred a profit
0%
If C.P is less than S.P, the seller is said to have incurred a loss
Explanation
$$\textbf{Step 1: Check which of the following statements is correct.}$$
$$\text{As we know that, }$$
$$\text{If cost price(C.P) is greater than the selling price(S.P), then seller incurred a loss,}$$
$$\text{and If cost price(C.P) is less than the selling price(S.P), then seller incurred a profit.}$$
$$\text{Therefore, Statements A,C are correct and D is incorrect.}$$
$$\textbf{Hence, option D is correct answer.}$$
A shopkeeper buys paper at Rs 50 per ream. To gain 20%, the selling price per quire will be (take 1 ream = 20 quires)
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0%
Re 1
0%
Rs 2
0%
Rs 3
0%
Rs 5
Explanation
Shopkeeper buys paper at Rs 50 per ream
1 ream=20 quires(given)
20 quires he buys at Rs50
1 quire he buys at=$$Rs\frac { 50 }{ 20 } $$
To gain 20 percant, selling price per quire will be
$$Rs\left( \frac { 50 }{ 20 } +\frac { 20 }{ 100 } \times \frac { 50 }{ 20 } \right) $$
$$\left( 2.5+0.5 \right) =Rs3$$
If the cost of a pen is $$Rs.\ 12.60$$ and the gain was $$10\%$$ of the marked price, then the marked price of the pen was
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0%
$$Rs.\ 15$$
0%
$$Rs.\ 14$$
0%
$$Rs.\ 13$$
0%
$$Rs.\ 12$$
Explanation
Let the marked price be $$Rs.\ 100.$$
It is given that $$10\%$$ gain is made on the marked price.
So,
$$Gain=100\times \dfrac { 10 }{ 100 } $$
$$=Rs.\ 10$$
Cost price will be $$100-10=Rs.\ 90.$$
When $$Rs.\ 90$$ is the cost price marked price is $$Rs.\ 100.$$
So, when $$Rs.\ 12.60$$ is the cost price marked price will be $$\dfrac { 100 }{ 90 } \times 12.60=Rs.\ 14.$$
Hence, option $$B$$ is correct.
By selling a T.V for Rs.$$1,064$$ a man gains $$12$$%. At what price did he buy the T.V?
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0%
Rs.$$1000$$
0%
Rs.$$950$$
0%
Rs.$$850$$
0%
Rs.$$900$$
Explanation
Let $$CP=x$$
Gain $$=\cfrac{12}{100}x=\cfrac{3x}{25}$$
SP$$=\cfrac{3x}{25}+x=\cfrac{28x}{25}$$
$$\Rightarrow$$ $$\cfrac{28x}{25}+x=\cfrac{28x}{25}$$
$$\Rightarrow$$ $$\cfrac{28x}{25}=1,064$$
$$\Rightarrow$$ $$x=$$ Rs.$$950$$
_________ is interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.
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0%
simple interest
0%
compound interest
0%
complex interest
0%
annual interest
Explanation
Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.
So $$Op.B$$
Identify in which type of interest rate is applied to the original principal and any accumulated interest?
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0%
simple interest
0%
compound interest
0%
complex interest
0%
annual interest
Explanation
When the interest rate is applied to the original principal and any accumulated interest, this is called compound interest.
The price at which an article is purchased is called its
Report Question
0%
SP
0%
CP
0%
Gain
0%
Loss
Explanation
The price/cost at which an article is purchased is called its Cost Price, or CP.
Hence, option B is correct.
John estimated that the repairs to his car would cost $$200$$ rupees. In fact they cost $$350$$ rupees. What was the percentage error?
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0%
$$52.85\%$$
0%
$$42.85\%$$
0%
$$32.85\%$$
0%
$$22.85\%$$
Explanation
Given that: Expected repair of car= $$200$$
Actual cost of repair = $$ 350$$
Percentage of error: $$\dfrac{Absolute \ value - exact \ value}{Exact \ value} \times 100$$
$$= \dfrac{350 - 200}{350} \times{100}$$
$$= 42.85 $$ %
You expected to get $$50$$ gifts for your birthday, but you only got $$32$$. What was the percentage error?
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0%
$$51.25\%$$
0%
$$45.25\%$$
0%
$$46.25\%$$
0%
$$56.25\%$$
Explanation
Given, absolute value $$=50$$, exact value $$=32$$
Percentage error $$=$$ $$\left | \dfrac{Absolute \space\ value - exact \space\ value}{exact\space\ value} \right |\times 100$$ $$\%$$
$$=$$ $$\left | \dfrac{50 - 32}{32} \right |\times 100$$ $$\%$$
$$=$$ $$\left | \dfrac{ 18}{32} \right |\times 100$$ $$\%$$
$$=$$ $$\left | 0.5625\right |\times 100$$ $$\%$$
$$= 56.25\%$$
__________ is calculated on both the amount borrowed and any previous interest.
Report Question
0%
simple interest
0%
annual interest
0%
complex interest
0%
compound interest
Explanation
Compound interest is calculated on both the amount borrowed and any previous interest.
A machine listed at Rs. $$8400$$ is available for Rs. $$6300$$. Find the rate of discount offered.
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0%
$$20\%$$
0%
$$10\%$$
0%
$$25\%$$
0%
$$30\%$$
Explanation
Listed price of machine $$= 8400$$, available price of machine $$= 6300$$
Discount offered $$=$$
$$8400-6300=$$ Rs. $$2100$$
Discount $$\%=\dfrac{2100}{8400} \times100\%=25\%$$
Sam purchased $$20$$ dozens of toys at the rate of $$Rs. 375$$ per dozen. He sold each one of them at the rate of $$Rs. 33$$. What was his percentage profit?
Report Question
0%
$$3.5$$
0%
$$4.5$$
0%
$$5.6$$
0%
$$6.5$$
Explanation
Cost Price of $$1$$ toy $$= Rs. \left (\dfrac {375}{12}\right ) = Rs. 31.25$$
Selling Price of $$1\ toy = Rs. 33$$
So, $$Gain = Rs. (33 - 31.25) = Rs. 1.75$$
$$\therefore Profit$$% $$= \left (\dfrac {1.75}{31.25} \times 100\right )$$% $$= \dfrac {28}{5}$$% $$= 5.6$$%
The cost price of $$20$$ articles is the same as the selling price of
x
articles. If the profit is $$25$$%, then the value of
x
is:
Report Question
0%
$$15$$
0%
$$16$$
0%
$$18$$
0%
$$25$$
Explanation
Let C.P. of each article be $$Re. 1$$ C.P. of x articles $$= Rs. x$$.
S.P. of x articles $$= Rs. 20$$.
$$Profit = Rs. (20 - x)$$.
$$\therefore \left (\dfrac {20 - x}{x}\times 100 = 25\right )$$
$$\Rightarrow 2000 - 100x = 25x$$
$$125x = 2000$$
$$\Rightarrow x = 16$$
By selling $$8$$ dozen pencils, a shopkeeper gains the selling price of $$1$$ dozen pencils. What is the gain?
Report Question
0%
$$12\dfrac {1}{2}\%$$
0%
$$13\dfrac {1}{7}\%$$
0%
$$14\dfrac {2}{7}\%$$
0%
$$87\dfrac {1}{2}\%$$
Explanation
We know that S.P. $$=$$ C.P. $$+$$ Gain
$$\Rightarrow $$ S.P. of $$8$$ dozen $$=$$ C.P. of $$8$$ dozen $$+$$ S.P. of $$1$$ dozen
$$\Rightarrow$$ S.P. of $$7$$ dozen $$=$$ C.P. of $$8$$ dozen
$$\Rightarrow$$ By selling $$7$$ dozen, he gain $$1$$ dozen
Therefore, gain $$\%$$ $$= \dfrac {1}{7}\times 100\%$$ $$= 14\dfrac {2}{7}\%$$
Choose the corrrect relation between simple and compound interest.
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0%
$$C.I > S.I.$$
0%
$$C.I < S.I.$$
0%
$$C.I=SI$$
0%
Can't say
Explanation
In simple interest, the principal amount is $$P$$ in compound interest the principal amount is $$P+ I$$ (Interest of the previous year)
Since the principal amount in CI is more, $$\cfrac { PRT }{ 100 } $$ i.e., interest will be more in C.I
Hence, $$CI>SI$$.
The selling price of goods which cost Rs.$$10$$ and were sold at a gain of $$10$$% is:
Report Question
0%
Rs. $$12$$
0%
Rs. $$10$$
0%
Rs. $$11$$
0%
Rs. $$15$$
Explanation
$$\Rightarrow$$ Cost price pf goods is Rs.$$10$$
$$\Rightarrow$$ Profit = $$10\%\,$$of Rs.$$10=$$Rs. $$1$$
$$\Rightarrow$$ Selling price of goods $$=$$ Cost price +profit
$$\Rightarrow$$ Selling price of good $$= $$Rs. $$10+$$Rs. $$1=$$Rs. $$11$$
A shopkeeper expects a gain of $$22.5\%$$ on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
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0%
$$Rs. 18.20$$
0%
$$Rs. 70$$
0%
$$Rs. 72$$
0%
$$Rs. 88.25$$
Explanation
Given that,
$$S.P.=Rs.\ 392$$ and $$\text{gain}\%=22.5\%$$
To find out: profit
We know that,
$$C.P.=\dfrac{S.P.\times 100}{100+\text{gain}\%}$$
$$\therefore \ C.P. = Rs. \left (\dfrac {100}{122.5}\times 392\right ) \\$$
$$= Rs. \left (\dfrac {1000}{1225}\times 392\right ) \\$$
$$= Rs. 320\\$$
We also know that, $$\text{profit}=S.P.-\ C.P.$$
$$\therefore \ \text{Profit} = Rs. (392 - 320) \\$$
$$= Rs. 72$$.
Hence, the profit of the shopkeeper on the sale of $$Rs.\ 392$$ is $$Rs.\ 72$$.
A shopkeeper sells some articles at the profit of $$25$$% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are necessary?
I. Sale price of the article
II. Number of articles sold
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0%
Only I is necessary
0%
Only II is necessary
0%
Either I or II is necessary
0%
Both I and II are necessary
0%
None of these
Explanation
$$Gain = 25$$% of C.P.
In order to find gain, we must know the sale price of each article and the number of articles sold.
Correct answer is (D).
An example of property tax is:
Report Question
0%
Wealth tax
0%
Income tax
0%
Sales tax
0%
Excise duty
Explanation
Property tax is a tax levied directly on the property. Wealth tax comes under property tax
The percentage profit earned by selling an article for Rs. $$1920$$ is equal to the percentage loss incurred by selling the same article for Rs. $$1280$$. At what price should the article be sold to make $$25$$% profit?
Report Question
0%
Rs. $$2000$$
0%
Rs. $$2200$$
0%
Rs. $$2400$$
0%
Data inadequate
Explanation
Let C.P. be $$Rs. x$$.
Then, $$\dfrac {1920 - x}{x} \times 100 = \dfrac {x - 1280}{x}\times 100$$
$$\Rightarrow 1920 - x = x - 1280$$
$$\Rightarrow 2x = 3200$$
$$\Rightarrow x = 1600$$
$$\therefore$$ Required $$S.P. = 125$$% of $$Rs. 1600 = Rs. \left (\dfrac {125}{100}\times 1600\right ) = Rs 2000$$.
In what time will Rs, $$15,000$$ yield Rs. $$4965$$ as compound interest at $$10$$% per year compounded annually?
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0%
$$3$$ years
0%
$$2$$ years
0%
$$1$$ years
0%
$$4$$ years
Explanation
Interest for the first year
$$=\cfrac{1500\times 10\times 1}{100}$$
$$=$$ Rs $$1500$$
Amount after the first year $$=$$ Rs $$15000+1500$$
$$=$$ Rs $$ 16500$$
Interest for the second year
$$=$$ $$\cfrac{16500\times 10\times 1}{100}$$
$$=$$ Rs $$1650$$
Amount after the third year
$$=$$ $$\cfrac{18150\times 10\times 1}{100}$$
$$=$$ Rs $$1815$$
Final amount $$= $$ Rs $$18150+1815$$
$$=$$ Rs $$19965$$
Compound interest $$=$$ Rs $$19965-15000$$
$$=$$ Rs $$4965$$
Required time $$= 3$$ years
A sum of Rs.$$12,000$$ is invested for $$3$$ years at $$18$$ % per annum compound interest. Calculate the interest for the third year.
Report Question
0%
$$2700$$
0%
$$2800$$
0%
$$2900$$
0%
$$3000$$
Explanation
Interest for the first year =
$$ \cfrac{12000 \times 1 \times 18}{100} = 2160$$
Amount after first year = $$12000+2160 =14160$$
Interest for second year =$$ \cfrac{14160 \times 1 \times 18}{100} = 2550$$
Amount after second year = $$14160+2550 =16708.8$$
Interest for third year =$$ \cfrac{16708.8 \times 1 \times 18}{100} = 3000(approx)$$
A sum of Rs.$$25,000$$ is invested for $$3$$ years at $$20$$ % per annum compound interest. Calculate the interest for the third year.
Report Question
0%
$$6000$$
0%
$$7200$$
0%
$$8400$$
0%
$$5000$$
Explanation
Interest for the first year =
$$ \cfrac{25000 \times 1 \times 20}{100} = 5000$$
Amount after first year = $$25000+5000 =30000$$
Interest for second year =$$ \cfrac{30000 \times 1 \times 20}{100} = 6000$$
Amount after second year = $$30000+6000 =36000$$
Interest for third year =$$ \cfrac{36000 \times 1 \times 20}{100} = 7200(approx)$$
__________ is calculated on both the amount borrowed and any previous interest.
Report Question
0%
simple interest
0%
annual interest
0%
compound interest
0%
complex interest
Explanation
$$\text{Compound interest}$$ is calculated on both the amount borrowed and any previous interest.
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.
It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest. Compound interest is standard in finance and economics.
$$\Rightarrow$$ $$C.I.=A-P$$
A sum of Rs.$$12,000$$ is invested for $$3$$ years at $$18$$ % per annum compound interest. Calculate the interest for the second year.
Report Question
0%
$$2500$$
0%
$$2525$$
0%
$$2550$$
0%
$$2575$$
Explanation
Interest for first year = $$ \cfrac{12000 \times 1 \times 18}{100} = 2160$$
Amount after first year = $$ 12000+2160=14160$$
Interest for second year =
$$ \cfrac{14160 \times 1 \times 18}{100} = 2550(approx)$$
Which interest is computed on the sum of an original principal and accrued interest?
Report Question
0%
Simple interest
0%
Annual interest
0%
Compound interest
0%
Complex interest
Explanation
$$\text{Compound interest}$$ is computed on sum of original principal and accrued interest.
Conversely, compound interest accrues on the principal amount and the accumulated interest of previous periods; it includes interest on interest, in other words.
It is calculated by multiplying the principal amount by the annual interest rate raised to the number of compound periods, and then minus the reduction in the principal for that year.
$$\Rightarrow$$ $$C.I.=P\left (1+\dfrac{R}{100}\right)^T-P$$
If M.P. $$=$$ $$140$$, S.P. $$=$$ $$105$$, then Discount $$=$$ __________.
Report Question
0%
$$245$$
0%
$$25$$
0%
$$30$$
0%
$$35$$
Explanation
Given market price $$=140$$ and sales price$$=105$$
Then total discount $$=$$ Market Price - Sales Price
$$=140-105=35$$
Akhilesh bought a house for Rs 9,50,Rs 50,000 was spent on colour. For earning a profit of 14.5%, how much should sell the home for?
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0%
$$Rs 7,55,000$$
0%
$$Rs 8,55,000$$
0%
$$Rs 5,45,000$$
0%
None of these
Explanation
Total rupees spent to buy the building and for painting
$$=9,50,000+50,000=Rs.\ 10,00,000$$
Now,
profit taken for selling of building is more than $$14.5\%$$ of total cost of building including painting;
So, $$14.5\%\ of\ 10,00,000$$
$$= 1000000 \times \dfrac{14.5}{100}$$
$$= 145000.$$
Now,
Selling price of building after gaining profit is
$$=10,00,000+1,45,000=Rs.\ 11,45,000$$
A trader buys some TVs at $$20\%$$ rebate on printed price $$Rs. 18,000.$$ For a long time he could not sell any TV. So he sells it by giving a rebate of $$Rs.2700$$ on printed price, what amount of profit or loss does he make? How much percentage of rebate does a customer earn?
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0%
Profit $$=Rs. 500, \ 20\%$$ Rebate
0%
Profit $$=Rs. 100,\ 25\%$$ Rebate
0%
Profit $$=Rs. 900,\ 15\%$$ Rebate
0%
None of these
Explanation
Given:
Discount $$\text{% = 20}$$
Marked Price $$\text{= Rs.18000}$$
Discount amount $$ =18000\ \times $$$$\dfrac{20}{100} $$
$$=3600$$
Cost price $$= 18000-3600$$
$$= \mathrm{Rs}.14400$$
Given:
Further the trader offers a discount of $$ = Rs. 2700$$
Selling price $$= Rs. 18000 - Rs. 2700$$
$$ = Rs. 15300$$
Now, Profit $$ = Rs .15300 - Rs. 14400 = Rs. 900$$
So, Discount $$\%=\dfrac{discount}{Marked\,Price}\times100$$
$$=\dfrac{2700}{18000}\times100=15\%$$
A saree trader brings some sarees at $$25\%$$ rebate on $$Rs 1600$$ printed price. He sells each scree at $$Rs 1440$$ per piece. What amount of profit or loss does he make? How much percentage of rebate does a customer earn?
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0%
$$Rs 180$$ Profit, $$15\%$$ Rebate
0%
$$Rs 240$$ Profit, $$10\%$$ Rebate
0%
$$Rs 100$$ Profit, $$18\%$$ Rebate
0%
None of these
Explanation
$$\text{discount % availed by the trader = 25%}$$
$$\text{Printed price of the saree = Rs 1600}$$
$$\text{Actual Cost Price of the saree = Rs 1600 - 1600}$$ $$\times \dfrac{25}{100} = Rs 1600 - 400
= Rs 1200$$
$$\text{Now Selling price of the saree = Rs 1440.}$$
$$\text{Profit = Selling price - Cost Price = Rs 1440 - Rs 1200 = Rs 240.}$$
$$rebate=\text{Print price - selling price}=1600-1440=160$$
$$rebate\%=\dfrac{rebate}{print\,price}\times100=\dfrac{160}{1600}\times100=10\%$$
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