Comparing Quantities Test

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Comparing Quantities Test - 34

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Weekly Quiz Competition

Question 1
1 / -0

Mukesh purchased $$40$$ kg of wheat at Rs. $$12. 50$$ per kg and $$25$$ kg of wheat at Rs. $$15.10$$ per kg. He mixed the two qualities of wheat for selling. At what rate(in Rs.) should it be sold to gain $$10\%$$?

A
Rs. $$ 13.25$$

B
Rs. $$ 13.50$$

C
Rs. $$ 14.75$$

D
Rs. $$ 14.85$$

Solution

C.P. of the wheat $$= 40 \times$$ Rs. $$12.50 + 25 \times $$ Rs. $$15.10 = Rs.877.5$$,

Gain $$= 10\%$$

$$\displaystyle \therefore$$ S.P. of the wheat $$\displaystyle =$$ $$Rs.\dfrac{877.5\times 110}{100}$$
$$= Rs. $$965.25$$

$$\displaystyle \therefore$$ S.P. per kg of wheat $$\displaystyle =$$ Rs. $$\dfrac{965.25}{65}=$$ $$Rs.14.85$$
Question 2
1 / -0

Jatin bought a refrigerator with $$20\%$$ discount on the labelled price. If he woud have bought it with $$25\%$$ discount, he could have saved Rs. $$500$$. At what price did he buy the refrigerator?

A
Rs. $$5,000$$

B
Rs. $$10,000$$

C
Rs. $$12,500$$

D
Rs. $$15,000$$

Solution

$$\Rightarrow$$ Let actual price of refrigerator is $$Rs.x$$
$$\Rightarrow$$ The cost of refrigerator to jatin after 20% discount $$=\dfrac{80}{100}\times x=\dfrac{4x}{5}$$
$$\Rightarrow$$ Cost of refrigerator to jatin after 25% discount $$=\dfrac{75}{100}\times x=\dfrac{3x}{4}$$
$$\Rightarrow$$ Then according to the question,
$$\Rightarrow$$ $$\dfrac{4x}{5}-\dfrac{3x}{4}=500$$

$$\Rightarrow$$ $$\dfrac{16x-15x}{20}=500$$

$$\therefore$$ $$x=20\times 500=10000$$
Question 3
1 / -0

What is the compound interest on an amount of Rs. $$4800$$ at the rate of $$6$$ percent p.a. at the end of $$2$$ years?

A
Rs. $$544.96$$

B
Rs. $$576$$

C
Rs. $$593.28$$

D
Rs. $$588$$

Solution

Given, $$P = $$ $$Rs.$$ $$4800, r = 6\%$$ $$p.a.$$, $$n = 2$$

$$\displaystyle \therefore C.I.=A-P=P\left ( 1+\frac{r}{100} \right )^{n}-P$$

$$\displaystyle =4800\left ( 1+\frac{6}{100} \right )^{2}-4800$$

$$\displaystyle =4800\times \dfrac{106\times 106}{100\times 100}-4800$$

$$= 5393.28 - 4800 =$$ $$Rs.$$ $$593.28$$
Question 4
1 / -0

If a company sells a car with a marked price of Rs. $$2,72,000$$ and gives a discount of $$4\%$$ on Rs. $$2,00,000$$ and $$2.5\%$$ on the remaining amount of Rs. $$72,000$$, then the actual price charged by the company for the car is

A
Rs. $$2,50,000$$

B
Rs. $$2,55,000$$

C
Rs. $$2,60,100$$

D
Rs. $$2,62,200$$

Solution

M.P. $$=$$ Rs. $$2,72,000$$.
Discount $$=$$ Rs. $$[(4\%$$ of $$2,00,000)+ (2.5\%$$ of $$72,000)]$$

$$=\left [\left (\dfrac{4}{100}\times 200000)+(\dfrac{2.5}{100}\times 72000\right)\right]$$
$$= $$ Rs. $$(8,000 + 1,800)$$
$$=$$ Rs. $$9,800. $$
Therefor, actual price $$=$$ Rs. $$(2,72,000 - 9,800)$$
$$=$$ Rs. $$2,62,200.$$
Question 5
1 / -0

Profit earned by selling an article for Rs. $$1,060$$ is $$20$$% more than the loss incurred by selling the article for Rs. $$950$$. At what price should the article be sold to earn $$20$$% profit?

A
Rs. $$1000$$

B
Rs. $$1150$$

C
Rs. $$1,250$$

D
Rs. $$1,200$$

Solution

Let C.P. be Rs $$x$$
Then $$ (1060 - x ) = \dfrac{120}{100} \times (x-950)$$
$$\Rightarrow 10600 - 10x = 120x- 120 \times 950$$
$$\Rightarrow 220x = 220000$$
$$ \Rightarrow x = 1000$$
$$\therefore$$ Desired S.P. $$=$$ Rs. $$\left (\dfrac{120}{100} \times 1000\right) =$$ Rs. $$1200$$
Question 6
1 / -0

A shopkeeper allows a discount of 10% on the marked price. How much above the cost price must he mark his goods to gain 8%?

A
20%

B
100%

C
80%

D
None of these

Solution

let Marked price of an article be $$x$$

Discount on article $$=x-10$$%of$$ x$$

$$=x-\frac{10}{100}x$$

$$=0.9x$$

Therefore, selling price of the article$$=0.9x$$

Now, Gain % $$=\frac{sp-cp}{cp}$$

Put the value of gain % and $$sp$$ in the above equation and calculate $$cp$$.

$$\frac{8}{100}=\frac{0.9x-cp}{cp}$$

$$8cp=90x-100cp$$

$$108cp=90x$$

$$cp=\frac{90x}{108}$$

$$cp=\frac{5x}{6}$$

Therefore, cost price $$cp$$ marked above marked price($$mp$$) $$=\frac{mp-cp}{cp}\times100$$

Put the valus of $$cp$$ and $$mp$$ in the above equation
$$=\frac{x-\frac{5x}{6}}{\frac{5x}{6}}\times100$$

$$=\frac{\frac{x}{6}}{\frac{5x}{6}}$$

$$20$$%
Question 7
1 / -0

A pair of articles was bought for : Rs.37.40 at a discount of 15%. What must be the marked price of each of the articles?

A
Rs. $$11$$

B
Rs. $$22$$

C
Rs. $$33$$

D
Rs. $$44$$

Solution

S.P. of each article = Rs. $$\displaystyle\frac{37.40}{2}$$
= Rs. 18.70.
Let M.P. be Rs. x.
Then, 85% of x = 18.70
$$\Rightarrow\, x\, =\, \left ( \displaystyle \frac{18.70\, \times\, 100}{85} \right )\, =\, 22$$
Question 8
1 / -0

The shopkeeper gives a discount of $$12\%$$ on the pair of shoes marked for Rs. $$1425$$, then S.P is:

A
Rs. $$1245$$

B
Rs. $$1425$$

C
Rs. $$1524$$

D
Rs. $$1254$$

Solution

Given M.P. $$=$$ Rs. $$1425$$
Discount $$=12\%$$ of Rs. $$1425 =$$ $$\displaystyle\frac{12}{100}\,\times\, 1425$$
$$=$$ Rs. $$171$$
Selling price of shoes $$=$$ Rs. $$(1425 - 171) = $$ Rs. $$1254$$.
Question 9
1 / -0

A cycle is sold for Rs. 880 at a loss of 20%. For how much should it be sold to gain 10%?

A
Rs.$$1400$$

B
Rs. $$1210$$

C
Rs.$$1100$$

D
Rs. $$1000$$

Solution

SP of cycle = Rs. 880
Loss = 20%
CP of cycle = $$\displaystyle880\, \times\, \frac{100}{100\, -\, 20}\, =\, Rs. 1100$$
If gain required is 10 % then
$$SP\,=\, 1100\, \times\, \displaystyle\frac{100\, +\, 10}{100}\, =\, Rs. 1210$$
Question 10
1 / -0

The current birth rate per thousand is $$32$$, whereas the corresponding death rate is $$11$$ per thousand. The net growth rate in terms of population increase in per cent is given by,

A
$$0.0021 \%$$

B
$$0.021 \%$$

C
$$2.1 \%$$

D
$$21 \%$$

Solution

Given, birth rate per $$1000$$ is $$32$$ and corresponding death rate is $$11$$ per thousand.
therefore, net growth on $$1000=(32-11)=21$$
Hence, net growth on $$100=\dfrac {21}{1000}\times 100=2.1\%$$
Therefore, net growth rate in terms of population increase in per cent is $$2.1\%$$.

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Comparing Quantities Test - 34

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Comparing Quantities Test - 34

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SHARING IS CARING

Question 1

Rs. $$ 13.25$$

Rs. $$ 13.50$$

Rs. $$ 14.75$$

Rs. $$ 14.85$$

Solution

Question 2

Rs. $$5,000$$

Rs. $$10,000$$

Rs. $$12,500$$

Rs. $$15,000$$

Solution

Question 3

Rs. $$544.96$$

Rs. $$576$$

Rs. $$593.28$$

Rs. $$588$$

Solution

Question 4

Rs. $$2,50,000$$

Rs. $$2,55,000$$

Rs. $$2,60,100$$

Rs. $$2,62,200$$

Solution

Question 5

Rs. $$1000$$

Rs. $$1150$$

Rs. $$1,250$$

Rs. $$1,200$$

Solution

Question 6

20%

100%

80%

None of these

Solution

Question 7

Rs. $$11$$

Rs. $$22$$

Rs. $$33$$

Rs. $$44$$

Solution

Question 8

Rs. $$1245$$

Rs. $$1425$$

Rs. $$1524$$

Rs. $$1254$$

Solution

Question 9

Rs.$$1400$$

Rs. $$1210$$

Rs.$$1100$$

Rs. $$1000$$

Solution

Question 10

$$0.0021 \%$$

$$0.021 \%$$

$$2.1 \%$$

$$21 \%$$

Solution

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