In what ratio should rice at Rs60 per kg be mixed with rice at Rs42 per kg such that by selling the ...........

Quantitative Aptitude (MTS) Mixture and Alligation

In what ratio, should rice at Rs60 per kg be mixed with rice at Rs42 per kg such that by selling the mixture at Rs56 per kg there is a

gain of 12%?

This questions was previously asked in

SSC MTS 21st July 2022 Shift-2

4:5

6:7

2:3

2:5

- To find the correct ratio, we first identify the selling price needed for a 12% gain when the selling price is Rs56 per kg.

- Cost price of the mixture for 12% gain:

- Selling price = Cost price × (1 + Gain%)

- So, 56 = Cost price × 1.12

- Cost price of mixture = 56 / 1.12 = Rs50 per kg.

- Now, apply the rule of allegation to find the ratio:

- Mean price = Rs50

- Prices are Rs60 and Rs42:

- Difference between Rs60 and Rs50 = Rs10

- Difference between Rs50 and Rs42 = Rs8

- Ratio = Difference with higher price:Differences with lower price

- Ratio = 8:10 = 4:5

- Correct Answer: 4:5

Submit Error