Question

A businessman mixes two varieties of tea in the ratio of 2:5 and sells the mixture at Rs. 40per kg. If
the cost of two varieties respectively be Rs. 45 per kg and Rs. 31 per kg, what would be this profit
percent?
13
b. 14.37
16
✓ d. 14.286
C.
a
20
2 bat​

Answer 1

Step-by-step explanation:

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(2/7)