Question

Rashmi purchased 50 dozens bananas for ₹ 150. Five dozens of bananas could not be sold because they were rotten. At what price per dozen should Rashmi sell the remaining bananas so that she makes a profit of 20%?

• A. ₹ 2
• B. ₹ 3
• C. ₹ 4
• D. ₹ 5

Answer 1

The correct option is C ₹ 4

Given that,
Total number of bananas = 50 dozens
Number of bananas which were rotten = 5 dozens
Cost price of 50 dozens bananas (C.P) = ₹ 150
Bananas left after removing rotten bananas = 50 - 5 = 45
Price at which Rashmi should sell 45 dozen bananas to make a profit of 20%,
$ProfitPercent=\frac{Profit}{C.P}\times 100$
$20=\frac{Profit}{150}\times 100$
Profit = ₹ 30
Profit = S.P - C.P
30 = S.P - 150
S.P = ₹ 180
S.P of 45 dozens of bananas = ₹ 180
S.P of 1 dozens of bananas
$=₹\frac{180}{45}$
= ₹ 4