Question

A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?
A) Rs. 620
B) Rs. 654
C) Rs. 725
D) Rs. 747

Answer 1

A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?
A) Rs. 620
B) Rs. 654
C) Rs. 725
D) Rs. 747

Answer: A) Rs. 620

Read Description:

Let C.P. of first article be X.

Hence, C.P. of second article = Rs.(7500 - X)

According to the question,

=> 16x/100 = (7500 - x) × 14/100

=> 16x = 7500 × 14 - 14x

=> 16x + 14x = 7500 × 14

=> 30x = 7500 × 14

=> X = 7500 × 14/30

=> Rs. 3500

Hence, Required difference

=> 3500 × 116/100 - 4000 × 86/100

=> Rs. 4060 - 3440

=> Rs. 620