Question

Mintu sells two chocolates at Rs. 15 each. He gains 25% on one and loses 25% on the other. In the whole transaction, there is 
1. Profit of Rs. 2
2. Loss of Rs. 2
3. Loss of Rs. 4
4. No profit no loss

Answer 1

Correct Answer - Option 2 : Loss of Rs. 2

Given:

Selling Price of each chocolate = Rs. 15

Profit on first chocolate = 25%

Loss on second chocolate = 25%

Formula Used:

Profit % = ((SP - CP)/CP) × 100%

Loss % = ((CP - SP)/CP) × 100%

Calculation:

Let the cost price of first chocolate = Rs. x

and the cost price of second chocolate = Rs. y

Profit on first chocolate = 25%

Profit % = ((SP - CP)/CP) × 100%

⇒ 25 = ((15 - x)/x) × 100

⇒ 1/4 = (15 - x)/x

⇒ x = 4(15 - x)

⇒ x = 60 - 4x

⇒ 5x = 60

⇒ x = 12

Cost price of first chocolate = Rs. 12

Loss on second chocolate = 25%

Loss % = ((CP - SP)/CP) × 100%

⇒ 25 = ((y - 15)/y) × 100

⇒ 1/4 = (y - 15)/y

⇒ y = 4(y - 15)

⇒ y = 4y - 60

⇒ 3y = 60

⇒ y = 20

Cost price of second chocolate = Rs. 20

Total cost price of both chocolates = Rs. 12 + Rs. 20

⇒ Total cost price of both chocolates = Rs. 32

Total selling price of both chocolates = Rs. 15 + Rs. 15

⇒ Total selling price of both chocolates = Rs. 30

Loss  = CP - SP

⇒ Loss = Rs. 32 - Rs. 30

⇒ Loss = Rs. 2

∴ In the whole transaction, there is a loss of Rs. 2.