A businessman mixes two varieties of tea in the ratio 2 : 5 and sells the mixture at Rs. 40 per kg. If the cost of two varieties is Rs. 45 and Rs. 31 respectively, then what would be his profit percentage?

A businessman mixes two varieties of tea in the ratio 2 : 5 and sells the mixture at Rs. 40 per kg. If the cost of two varieties is Rs. 45 and Rs. 31 respectively, then what would be his profit percentage?

Let the two varieties of tea be A and B respectively

Suppose the businessman mixes 2 kg of tea of type A and 5 kg of tea of type B

Mixture of both types of tea = 7 kg

Cost of 2 kg of type A tea at Rs. 45 per kg = 2 × 45 = Rs. 90

Cost of 5 kg of type B tea at Rs. 31 per kg = 5 × 31 = Rs. 155

Cost of 7 kg of mixture = 90 + 155 = Rs. 245

⇒ Cost of 1 kg of mixture = 245/7 = Rs. 35

SP of 1 kg of mixture = Rs. 40

Profit = 40 – 35 = Rs. 5

⇒ Profit % = (5/35) × 100 = 100/7

∴ Profit% = $(14\frac{2}{7})$

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