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… — Answer & Discussion

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$14\frac{2}{7}$
B$14\frac{1}{7}$
C$14\frac{3}{7}$
DNone of these

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Discussion 1

CCommunity04 May 2019

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% = $(14\frac{2}{7})$