Question 111
DIRECTION for the question: Solve the following question and mark the best possible option.
One quality of wheat at Rs. 9.30 per kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs. 10 per kg, what is the rate per kg of the second quality of wheat?
Solution
Solution:
Let the rate of another quality wheat be Rs 'a'/kg.
Let the amount of 1st and 2nd quality wheats be '8x' Kg and '7x' Kg respectively
So, $$\ \frac{\ 9.3\times\ 8x\ \ +\ \ a\times\ 7x}{8x+7x}=10$$
7a=75.6
a=Rs 10.8/Kg
Option A is the answer.
Alternate Solution:
$$\ \frac{\ x-10}{10-9.3}=\frac{8}{7}$$
7(x-10)=8*0.7
x=Rs 10.8/Kg
Option A is the answer.
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