Question : A shopkeeper blends two varieties of tea costing Rs. 18 and Rs. 13 per 100 gm in a ratio of 7 : 3. He sells the blended variety at the rate of Rs. 18.15 per 100 gm. His percentage gain in the transaction is:
Option 1: 10%
Option 2:
12%
Option 3:
14%
Option 4:
8%
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Correct Answer: 10%
Solution :
The cost price of Rs. 18 and Rs. 13 tea is $\frac{7}{7+3}×18+\frac{3}{7+3}×13=\frac{165}{10}=16.5$
He sells the blended variety at the rate of Rs.18.15 per 100 gm.
Profit = 18.15 – 16.5 = Rs. 1.65
Profit percentage $=\frac{1.65}{16.5}×100=10$%
Hence, the correct answer is 10%.
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