Question Details

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?

Options

A

50

B

30

C

25

D

45

Show Answer

Correct Answer :

Option A

50

Solution :

Correct Option: A

He buys x dozen candies at Rs.15 a dozen and x more dozen at Rs.12 a dozen, so the average cost per dozen is Rs.
(15 + 12)/2 = Rs.13.5 a dozen.

By selling a dozen at Rs.16.5, he’ll make a profit of Rs.3 per dozen.

To make an overall profit of Rs.150, he needs to sell 50 dozen.

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