Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2007 · Marks: · Difficulty:
A dealer buys dry fruit at the rate of ` 100, ` 80 and ` 60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets 20% profit by selling the first two and at last he finds he has no gain no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?
(a)20%
(b)30%
(c)40%
(d)50%
Answer
Answer (as printed): C
Explanation
Suppose he bought 12 kg, 15 kg and 20 kg of the three varieties respectively. Then, total C.P. = ` (12 × 100 + 15 × 80 + 20 × 60) = ` (1200 + 1200 + 1200) = ` 3600. Let the loss on the third quantity be x%. Then, 120% of 2400 + (100 – x)% of 1200 = 3600 6 100 – x ⇒ × 24 + × 12 = 36 5 100 100 – x 144 36 ⇒ × 12 = 36 – = 100 5 5 100 – x 36 1 3 ⇒ = × = ⇒ 500 – 5 x = 300 100 5 12 5 ⇒ 5x = 200 ⇒ x = 40%. 100 64
Explanation as extracted from the printed page; notation may be imperfect.