Data Sufficiency Question 65

  1. What was the percentage discount offered by the shopkeeper?

I. Profit earned by selling the article for ₹ 432 after giving discount was ₹ 32 .

II. Had there been no discount, the profit earned would have been $₹ 80$.

III. Had there been no discount, the profit earned would have been $20 %$

(1) I and II Only

(2) II and either I or III only

(3) I and III Only

(4) I and either II or III only.

(5) None of these

Show Answer

Correct Answer: 65. (4)

Solution: 65. (4) Using I.

C.P. $=432-32=₹ 400$

Using I and II.

Marked price (M.P) $=400+80$

$=₹ 480$

Discount $=480-432=₹ 48$ $\therefore \quad %$ Discount $=\frac{48}{480} \times 100$

$=10 %$

Using I and III.

$%$ Profit without discount $=20 %$

$20 %$ of $400=₹ 80$

Hence, % discount can be calculated by statement I and either II or III only.