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A fruit seller purchased 20 kg of apples at ₹ 50 per kg. Out of these, 5% of the apples were found to be rotten. If he sells the remaining apples at ₹ 60 per kg, then his ______ is ______%.

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Question

A fruit seller purchased 20 kg of apples at ₹ 50 per kg. Out of these, 5% of the apples were found to be rotten. If he sells the remaining apples at ₹ 60 per kg, then his ______ is ______%.

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Solution

A fruit seller purchased 20 kg of apples at ₹ 50 per kg. Out of these, 5% of the apples were found to be rotten. If he sells the remaining apples at ₹ 60 per kg, then his profit is 14%.

Explanation:

We have, price for per kg apples = ₹ 50

Total purchased apples = 20 kg 

Since, 5% were rotten, so good apples = 20 kg – 5% of 20 kg (rotten)

= `20 - 5/100 xx 20`

= 20 – 1

= 19 kg

Also, he sells 19 kg apples at ₹ 60 per kg

∴ Total selling price = 19 × 60 = ₹ 1140

∵ Cost price was 20 kg apples = 20 × 50 = ₹ 1000

∴ Profit = SP – CP = 1140 – 1000 = ₹ 140

Now, profit % = `"Profit"/"CP" xx 100%`

= `140/1000 xx 100%`

= `140/10`

= 14%

So, his profit is 14%.

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Chapter 7: Comparing Quantities - Exercise [Page 201]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 7 Comparing Quantities
Exercise | Q 46. | Page 201

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