Question

A man bought apples at the rate of 8 for Rs 34 and sold them at the rate of 12 for Rs 57. How many apples should be sold to earn a net profit of Rs 45?
a. 90
b. 100
c. 135
d. 150

Answer 1

Hint: In this particular type of question first we find the net profit on one apple by calculating individual cost price and selling price . Then we need to divide his total profit by the profit we calculated earlier.

Complete step-by-step answer:

Cost price of one apple =$\dfrac{{34}}{8} = Rs4.25$

Selling price of one apple = $\dfrac{{57}}{{12}} = Rs4.75$

Hence profit = Selling price – cost price

$ \Rightarrow profit = 4.75 - 4.25 = Rs0.50$

Profit of $Rs 0.50$ is earned in one apple

Apples sold to earn a profit of Rs45 = $\dfrac{{profi{t_{total}}}}{{profi{t_{one}}}} = \dfrac{{45}}{{0.50}} = 90$

Therefore 90 apples were sold be to earn a profit of Rs 45

Hence, Option $(a)$ is the correct.

Note: One should recall the concept working behind finding the cost price and selling price of one apple. Remember that profit or loss depends on whether the cost price is higher or the selling price.