CAT 2017 Slot 2 — QA Question 9
Profit & LossEasy
Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and makes a profit of Rs 150. How many dozens of candies did he buy altogether?
Answer & solution
50
- B
30
- C
25
- D
45
Solution
Supposing Mayank buys ‘x’ dozen candies at Rs. 15 per dozen and another ‘x’ dozen candies at Rs. 12 per dozen.
Total C.P =15(x) + 12(x) per dozen.
Now he sells these ‘x + x’ or ‘2x’ dozen candies at Rs. 16.50 per dozen.
So total S.P = 16.50 × 2x = 33x
Profit = 33x -27x = 6x
Now 6x = 150 or x = 25
As Mayank buys ‘2x’ dozen candies, number of dozens of candies bought by him
= 2 × 25 or 50
Hence, option (a).