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A man bought apples at the rate of 8 apples for Rs.34 and sold them at the rate of 12 apples for Rs.57. How many apples should be sold to earn a net p
Question

A man bought apples at the rate of 8 apples for Rs.34 and sold them at the rate of 12 apples for Rs.57. How many apples should be sold to earn a net profit of Rs.45?

A.

135

B.

90

C.

150

D.

100

Correct option is B

Given:
Cost price (CP) of 8 apples = Rs. 34
Selling price (SP) of 12 apples = Rs. 57
Desired profit = Rs. 45
Formula Used:
Profit per apple = Selling price per apple − Cost price per apple
Total apples required = Desired profitProfit per apple\frac{\text{Desired profit}}{\text{Profit per apple}} ​​​
Solution:

CP per apple = 348=4.25 Rs.\frac{34}{8} = 4.25 \, \text{Rs.}​​

SP per apple = 5712=4.75 Rs.\frac{57}{12} = 4.75 \, \text{Rs.}​​

Profit per apple = 4.75 − 4.25 = 0.50 Rs.
Total apples required = 450.50\frac{45}{0.50}​ = 90
Thus, the man needs to sell 90 apples to earn a net profit of Rs. 45.

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