### A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A. 400 kg B. 560 kg C. 600 kg D. 640 kg Answer: Option C

### Solution(By Apex Team)

By the rule of alligation, we have: \begin{array}{l}\text{Ratio of 1st and 2nd parts}\\ \text{= 4 : 6}\\ \text{= 2 : 3}\\ \text{∴ Quantity of 2nd kind}\\ \begin{aligned}&=\left(\frac{3}{5}\times1000\right)\mathrm{kg}\\ &=600\mathrm{~kg}\end{aligned}\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