Three varieties of tea, A, B, C, are mixed in the ratio 1:3:1. The price of tea A is Rs. 1270 per kg and the price of tea C is Rs. 1350 per kg. If the price of the tea mixture is Rs. 1520 per kg, then the price per kg of tea B is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Rs. 1660
In the ratio 1 : 3 : 1, every 5 kg of the mixture has 1 kg of A, 3 kg of B and 1 kg of C. Let the price of B be Rs. x per kg. The cost of the mixture equals the cost of its parts:
\( \displaystyle 1\times 1270+3x+1\times 1350=5\times 1520 \)
\( \displaystyle 2620+3x=7600 \)
\( \displaystyle 3x=4980 \)
\( \displaystyle x=1660 \)
So tea B costs Rs. 1660 per kg.