Question

Anil bought two articles A and B at a total cost of Rs. 10,000. He sold the article A at 15% profit and the article B at 10% loss. In the whole deal, he made no profit or no loss. Find the selling price of the article A.
1. Rs. 4,200
2. Rs. 5,400
3. Rs. 4,500
4. Rs. 4,600

Answer 1

Correct Answer - Option 4 : Rs. 4,600

Given-  

Total cost of A and B = Rs. 10000

Profit% on article A = 15%

Loss% on article A = 10%

Concept Used-

Profit% = (SP - CP)/CP × 100       [where CP = Cost Price and SP = Selling Price]

Loss% = (CP - SP)/CP × 100      [where CP = Cost Price and SP = Selling Price]

Calculation-

Let the CP of two articles be A and B be x and y respectively.

According to Condition -

15% of x = 10% of y                    [∵ Profit on A = Loss on B]

⇒ x : y = 2 : 3

x = 2/5 × 10000       ∵ x + y = 10000

⇒ x = 4000

SP of article A = 4000 × (1 + 15%)

⇒ 4600

∴ The selling price of the article A is Rs. 4600