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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…

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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 ?
  • A$$34\frac{2}{7}$$
  • B$$38\frac{2}{5}$$
  • C$$32\frac{2}{5}$$
  • D$$42\frac{6}{7}$$
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CCommunity
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.
0
CCommunity
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.