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?

- 50
- 30
- 25
- 45

### Answer

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.

**The correct option is A.**