### 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 Answer: Option B

### Solution(By Apex Team)

\begin{aligned}&\text{Cost price of mixture}\\ &=\frac{\text{ Sale price }}{(100+\text{ gain }\%)}\times100\\ &=\frac{767}{118}\times100\\ &=\text{ Rs. }650\end{aligned} $\begin{array}{l}\text{Ratio = 5 : 4}\\ \text{∴ Quantity of A type of sandal is 35 kg}\\ \text{∴ 5x = 35 kg}\\ \text{∴ x = 7 kg}\\ \text{Thus B type sandal}\\ \text{= 7 × 4 = 28 kg}\end{array}$

## Related Questions On Alligation

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2

### An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres