Data Sufficiency Question 65
- 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.