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1. Two types of tea costing Rs. 180/kg and Rs. 280/kg. In what ratio should these be mixed so that obtained mixture sold at Rs. 320/kg to earn a profit of 20% is ?

A. 3 : 13

B. 4 : 13

C. 1 : 13

D. 2 : 13

Solution:

According to the question,
Selling price of the mixture = Rs. 320, Gain = 20%
∴ Cost price of the mixture

\begin{aligned} = 320 \times \frac{100}{120} \\ = Rs . \frac{800}{3} \end{aligned}

Now using alligation method
Alligation mcq solution image

\begin{aligned} Ratio of quantity \\ \to 40 : 260 \\ 2 : 13 \end{aligned}

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