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A vegetable seller purchased 40 kg of tomatoes at Rs. 10 per kg. He found 5% of the tomatoes to be rotten. If he decides to sell the remaining tomatoes at Rs. 15 per kg, what will be his gain percentage?

A vegetable seller purchased 40 kg of tomatoes at Rs. 10 per kg. He found 5% of the tomatoes to be rotten. If he decides to sell the remaining tomatoes at Rs. 15 per kg, what will be his gain percentage? Correct Answer 42.5%

Given:

A vegetable seller purchased 40 kg of tomatoes = Rs. 10 per kg

Rotten tomatoes = 5%

Sold the tomatoes for = Rs. 15 per kg

Concept used:

P = S.P – C.P 

P% = (P/C.P) × 100 

Where, 

P → Profit

S.P → Selling price 

C.P → Cost price 

P% → Profit%

Calculation:

Total cost price of the tomatoes = 40 × 10 = Rs. 400

Rotten tomatoes = 5%

Remaining tomatoes = 40 × 95/100 = 38 kg

Sold the tomatoes for = Rs. 15 per kg

Selling price of the tomatoes = 38 × 15 = Rs. 570

Gain = 570 – 400 = Rs. 170

Gain% = (170/400) × 100 = 42.5%

∴ The gain% of the tomatoes is 42.5%.

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