Anil purchases 12 apples for ₹50 and sells 8 apples from it for ₹50. Find the percentage gain.

Correct option is A

Given:

Anil buys 12 apples for ₹50 

He sells 8 apples for ₹50 

Formula Used:
Profit or Gain = SP − CP
Gain % $$=\frac{\text{Gain}}{\text{CP}} \times 100$$​​

Solution:

Anil buys 12 apples for ₹50

Cost Price (CP) per apple = ₹50 ÷ 12

Selling Price (SP) for 8 apples = ₹50
Let’s assume he buys 12 apples for ₹50, so cost of 8 apples:

CP of 8 apples =$$\dfrac{8}{12} \times 50 = ₹33.33$$​

SP of 8 apples = ₹50

Gain % =$$\dfrac{50 - 33.33}{33.33} \times 100 = 50\%$$

Alternate Method:

CP  12 $$\times 2 = 24$$ apples          ₹50 $$\times 2$$ = ₹ 100

SP     8$$\times 3$$ =24 apples             ₹50 $$\times 3$$​ = ₹ 150

Profit % = $$\frac {150-100}{100}\times 100\% =50\%$$​​