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MAT Exam 2020 Paper

Question Numbers: 136-140

DIRECTIONS (Qs. 136-140) : In each of these questions two Quantities A and B are given. Compare the two quantities.

Give answer :

(a) If Quantity A is greater than Quantity B

(b) If Quantity B is greater than Quantity A

(d) If comparison cannot be made

Question : 137 of 200

Marks: +1, -0

20 \%

5 \%

B. The selling price of book which Rita sold.

Solution:

Concept:

Selling price is found by adjusting cost price with profit or loss percentage.

Explanation:

Quantity A is the selling price of Amit's book.

Cost price

= ₹56.25

and profit

= 20\%

\mathrm{SP}_A = 56.25 \times \left(\frac{100+20}{100}\right)

\mathrm{SP}_A = 56.25 \times \frac{120}{100} = ₹67.50

Quantity B is the selling price of Rita's book.

Cost price

= ₹80.40

and loss

= 5\%

\mathrm{SP}_B = 80.40 \times \left(\frac{100-5}{100}\right)

\mathrm{SP}_B = 80.40 \times \frac{95}{100} = ₹76.38

Since

76.38 > 67.50

, Quantity B is greater than Quantity A.

Answer:

Option (b) — If Quantity B is greater than Quantity A.

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