Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · 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? (M.A.T., 2007)
(a)20%
(b)30%
(c)40%
(d)50%
Answer
Answer (as printed): C
Explanation
Let the weights of the three varieties be 12x, 15x and 20x kg respectively. Then, total C.P. = ₹ (100 × 12x + 80 × 15x + 60 × 20x) = ₹ (3600x). Total S.P. = ₹ (3600x). S.P. of the first two varieties = ₹ $\left(\frac{120}{100} \times 2400x\right)$ = ₹ (2880x). S.P. of the third variety = ₹ (3600x – 2880x) = ₹ 720x. Loss on third variety = ₹ (1200x – 720x) = ₹ 480x. Loss% = $\left(\frac{480x}{1200x} \times 100\right)\%$ = 40%.
Explanation as extracted from the printed page; notation may be imperfect.