MCQs / Q&A

A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:________?

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A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:________?

A. Rs. 110
B. Rs. 120
C. Rs. 125
D. Rs. 150
Explanation:
125% of 120% of A = 225
125/100 * 120/100 * A = 225
A = 225 * 2/3 = 150.

A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:________?

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A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:________?

A. 8
B. 10
C. 11
D. 12
Explanation:
Suppose he has 100 items. Let C.P. of each item be Re. 1.
Total cost = Rs. 100. Number of items left after theft = 80.
S.P. of each item = Rs. 1.10
Total sale = 1.10 * 80 = Rs. 88
Hence, loss % = 12/100 * 100 = 12%

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?

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By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?

A. Rs. 110
B. Rs. 120
C. Rs. 140
D. None of these
Explanation:
Let the cost of the brand be Rs. X per kg.
C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)
S.P of 5 kg = Rs. (5 * 177) = Rs. 885
[885 – (400 + 3x)]/(400 + 3x) * 100 = 18
24250 – 150x = 3600 + 27x
177x = 20650 => x = 116 2/3
So, cost of the other brand = Rs. 116.66.

Haroon purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?

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Haroon purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?

A. Rs. 14.80
B. Rs. 15.40
C. Rs. 15.60
D. Rs. 16.30
E. Rs. 18.20
Explanation:
C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.

The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

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The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

A. 37 ½ %
B. 60 %
C. 75 %
D. none of these
Explanation:
Let length = 100 m.
Breath = 100 m.
New length = 160 m.
New breath = x meters
Then, = 160 × x = 100 × 100
(or) X = (100 ×100)/160 × 125/2
Decrease in breadth = (100- 125/2) % = 37 ½ %