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Question
A tea merchant blends two varieties of tea in the ratio of 5 : 4. The cost of first variety is ₹ 200 per kg and that of second variety is ₹ 300 per kg. If he sells the blended tea at the rate of ₹ 275 per kg, find out the percentage of her profit or loss.
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Solution
Let quantity of first variety and second variety of tea be 5x kg and 4x kg respectively.
Cost of first variety of tea = ₹ (200 × 5x) = ₹ 1000x
Cost of second variety of tea = ₹ (300 × 4x) = ₹ 1200x
Total cost price of tea = ₹ (1000x + 1200x) = ₹ 2200x
Selling price of tea = ₹ (9x × 275) = ₹ 2475x
Here, S.P. > C.P.
Therefore, there is a profit of = ₹ (2475x – 2200x) = ₹ 275x
Profit % = `"Profit"/"C.P." xx 100 = (275x)/(2200x) xx 100` = 12.5%
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