Question

A man sold 20 eggs for ₹120 and gained 20%. How many eggs did he buy for ₹120?

• A. 20
• B. 25
• C. 24
• D. 30

Answer 1

The correct option is C 24

Given, Man sold 20 eggs for ₹120.
$⟹$Selling price of 1 egg $=\frac{120}{20}=₹6$

We know that,
$\text{Gain \%}=\frac{\text{Selling price - Cost price}}{\text{Cost price}}\times 100\%$
Now by putting all the values,
$20=\frac{6-\text{Cost price}}{\text{Cost price}}\times 100⟹\frac{20}{100}=\frac{6-\text{Cost price}}{\text{Cost price}}=\frac{1}{5}⟹\text{Cost price}=5\times (6-\text{Cost price})⟹\text{Cost price}=30-5\times \text{Cost price}⟹6\times \text{Cost price}=30⟹\text{Cost price}=5$
So, number of eggs he can buy with ₹120 $=\frac{120}{5}=24$

Hence, option 'c' is correct.