A merchant purchased two qualities of rice at the rate of Rs 100 per quintal and Rs 170 per quintal ...........

Quantitative Aptitude (CDS) Mixture and Alligation

A merchant purchased two qualities of rice at the rate of Rs.100 per quintal and Rs.170 per quintal. In 18 quintals of the second quality, how much rice of the first quality should be mixed so that by selling the resulting mixture at Rs.200 per quintal, he gains a profit of 25%?

3 quintals

2 quintals

5 quintals

None of these

Explanation:

By selling at Rs.200, if we need to get a profit of 25%, it means that the cost price would be
200/1.25 = 160 .
Therefore, the ratio of mixing required to get an average of Rs.160 per quintal
= 170- 160 / 160 – 100
= 10/60 = 1/6
Thus, in 18 quintals of the second, we need to mix 3 quintals of the first.