Question

In what ratio must a shopkeeper mix peas and soyabean of ₹16 and ₹25 per kg respectively, so as to obtain a mixture of ₹19 per kg?

• A. 2:1
• B. 7:5
• C. 11:7
• D. 13:8

Answer 1

The Correct Option is A

To solve this problem, we use the concept of alligation. Alligation is a method used to find the ratio in which two or more ingredients at different prices are mixed to produce a mixture of a desired price.

Given:
Price of peas (C1) = ₹16/kg
Price of soyabean (C2) = ₹25/kg
Price of mixture (Cm) = ₹19/kg

Using the rule of alligation, we calculate the differences between the prices:

Difference between C2 and Cm:
(C2 - Cm) = 25 - 19 = 6

Difference between Cm and C1:
(Cm - C1) = 19 - 16 = 3

The ratio of peas to soyabean is therefore given by the differences:

Ratio = (C2 - Cm) : (Cm - C1) = 6 : 3

Simplifying this ratio gives:

6:3 = 2:1

Therefore, the shopkeeper must mix the peas and soyabean in the ratio of 2:1.