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A manufacturer makes 600 articles at a cost of Rs. 5 per article. He fixes the selling price such that if only 500 articles are sold, he would make a profit of 30% on his outlay. However 60 articles get spoilt and he was able to sell 540 articles at this price. Find his actual profit percent.

A manufacturer makes 600 articles at a cost of Rs. 5 per article. He fixes the selling price such that if only 500 articles are sold, he would make a profit of 30% on his outlay. However 60 articles get spoilt and he was able to sell 540 articles at this price. Find his actual profit percent. Correct Answer 40.4%

Given:

Cost of per articles = Rs. 5 

Profit % = 30%

Concept used:

Profit percent =  × 100

CP = cost price

SP = selling price

Calculation:

CP of 600 articles = Rs. (600 × 5)

⇒ Rs. 3000

SP of 500 articles = Rs. (3000 × 13/10)

⇒ Rs. 3900

SP per articles = Rs. (3900/500)

⇒ Rs. 7.8

SP of 540 articles = Rs. (540 × 7.8)

⇒ Rs. 4212

Profit = Rs. (4212 – 3000) = Rs. 1212

Profit percent = (1212/3000) × 100

⇒ 40.4%

∴ Profit percent is 40.4%

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