Find the ratio in which rice at ₹36.75 per kg should be mixed with rice at ₹42.25 per kg to produce a mixture worth ₹40.50.

Correct option is A

Given:

Price of rice 1 (P₁) = ₹36.75/kg

Price of rice 2 (P₂) = ₹42.25/kg

Price of the mixture (Pₘ) = ₹40.50/kg

Formula used:

Using the rule of allegation:

​$$\text{Ratio} = \frac{P_2 - P_m}{P_m - P_1}$$​

Solution:

Ratio =$$\frac{42.25 - 40.50}{40.50 - 36.75}$$​

Ratio =$$\frac{1.75}{3.75}$$​

Ratio = 7 : 15