Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio
Explanation:
Let cost of tea A and B be a and b respectively.
If 3 kg of tea A is mixed with 2 kg of tea B, (3a + 2b) × 1.1 = 40× 5 = 200
If 2 kg of tea A is mixed with 3 kg of tea B, (2a + 3b) × 1.05 = 40× 5 = 200
Therefore,
(3a + 2b) × 1.1 = (2a + 3b) × 1.05
∴ 3.3a + 2.2b = 2.1a + 3.15b
∴ a/b = 19/24
Hence, option (d).
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