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1. 35 kg of type A sandal powder, which costs Rs. 614 per kg, was mixed with a certain amount of type B sandal powder, which costs Rs. 695 per kg. Then the mixture was sold at the rate of Rs. 767 per kg and 18% profit was earned. What was the amount (in kg) of type B sandal powder in the mixture ?

A. 24 kg

B. 28 kg

C. 32 kg

D. 36 kg

Solution:

Cost price of mixture

\begin{aligned} = \frac{Sale price}{(100 + gain %)} \times 100 \\ = \frac{767}{118} \times 100 \\ = Rs . 650 \end{aligned}

Ratio = 5 : 4
∴ Quantity of A type of sandal is 35 kg
∴ 5x = 35 kg
∴ x = 7 kg
Thus B type sandal = 7 × 4 = 28 kg

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