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 ?

Answer: Option B

Solution

Answer: Option B

Solution:

Cost price of mixture
$$\begin{array}{rl}& =\frac{\text{Sale price}}{\left(100+\text{gain }\%\right)}\times 100\\ & =\frac{767}{118}\times 100\\ & =\text{Rs}\text{. 650}\end{array}$$

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