Question

A person mix 12 kg rice worth rs. 15 per kg with some ammount quora of rice worth rs.22 per kg . If he sold the mixture at rs.18 per kg then he incours rs. 10 loss . In what weight he sold the rice worth rs. 22 per kg?

Answer 1

Answer:

The person mixed 11.5 kg of rice that was worth Rs.22 per kg

Step-by-step explanation:

12 kg of rice worth Rs.15 per kg will be worth Rs.(12 * 15) = Rs.180

Let the unknown quantity of rice @Rs.22 per kg = x

The worth of this rice = Rs.22x

The total worth of two types of rice in Rs. = 180 + 22 x

This is the cost price (CP)

The total quantity of rice in kg = 12 + x

This quantity of rice is sold @Rs.18 per kg

The amount earned on selling this rice in Rs. = 18*(12 + x)

This is the selling price (SP)

It is given that he incurs a loss of Rs.10 in the overall transaction

=> CP - SP = 10

=> 180 + 22x - 18*(12 + x) = 10

=> 180 + 22x - 216 - 18x = 10

=> 4x - 36 = 10

=> 4x = 46

=> x = 11.5

The quantity of rice @Rs.22 per kg = 11.5 kg