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 ?

Solution (By Examveda Team)

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

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