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A wholesaler blends two varieties of tea, one costing Rs. 60 per kilogram and another costing Rs. 105 per kilogram. The respective ratio of quantities they were mixed in was 7 : 2. If he sold the mixed variety at Rs. 100 per kilogram, how much was his profit percentage ?

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A wholesaler blends two varieties of tea, one costing Rs. 60 per kilogram and another costing Rs. 105 per kilogram. The respective ratio of quantities they were mixed in was 7 : 2. If he sold the mixed variety at Rs. 100 per kilogram, how much was his profit percentage ?
1). $$34\frac{2}{7}$$
2). $$38\frac{2}{5}$$
3). $$32\frac{2}{5}$$
4). $$42\frac{6}{7}$$


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2 answers

0 vote
Answered by on | Votes 0 |
Solution

Let wholesaler mixed 7 kg and 2 kg of tea of variety 60 Rs/kg and 105 Rs/kg respectively.
Cost of tea of variety 60 Rs/kg=$60\times7$.
=Rs. 420.
Cost of tea of variety 105 Rs/kg=$105\times2$.
=Rs. 210.
Total cost=420+210.
=630.
Selling price=$9\times100$.
=900.
Profit percentage=$\frac{900-630}{630}\times100$.
=$\frac{300}{7}$.
=$42\frac{6}{7}$.
Hence, Option D is correct.

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3 vote
Answered by on | Votes 3 |
Solution

Let wholesaler mixed 7 kg and 2 kg of tea of variety 60 Rs/kg and 105 Rs/kg respectively.
Cost of tea of variety 60 Rs/kg=$60\times7$.
=Rs. 420.
Cost of tea of variety 105 Rs/kg=$105\times2$.
=Rs. 210.
Total cost=420+210.
=630.
Selling price=$9\times100$.
=900.
Profit percentage=$\frac{900-630}{630}\times100$.
=$\frac{300}{7}$.
=$42\frac{6}{7}$.
Hence, Option D is correct.




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