A fruit vendor sold 3/4 of his apples at a profit of 20% and the rest at a loss of 10%. If he gained ₹90 on the whole, find the cost price of all apples.
Show answer & explanation
Correct answer: D
Explanation
Given:
3/4 of the apples were sold at a 20% profit.
1/4 of the apples were sold at a 10% loss.
Total Profit = ₹90
According to the formula:
Total Profit = Total Selling Price − Total Cost Price
Let the Total Cost Price be 'x'.
Cost Price of the 3/4 portion = 3x/4
Profit = 20% × 3x/4 = 3x/20
Cost Price of the 1/4 portion = x/4
Loss = 10% × x/4 = x/40
Total Profit = 3x/20 − x/40
= (6x − x)/40
= 5x/40
= x/8
As per the problem:
x/8 = 90
x = ₹720