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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.
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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