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?
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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
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