###
**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**

## Show Answer

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

### The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.

A. 2 : 5B. 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:

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C. $\large\frac{3}{14} \mathrm{~kg}$

D. $\large\frac{7}{9} \mathrm{~kg}$

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