Question

A mixture of rice is sold at Rs. 3.00 per kg. This mixture is formed by mixing the rice of Rs. 2.10 and Rs. 2.52 per kg. What is the ratio of the price of cheaper to the costlier quality in the mixture if the profit of 25% is being earned.

• A. 5 : 2
• B. 2 : 7
• C. 2 : 5
• D. 15 : 8

Answer 1

The correct option is C 2 : 5

Let the cost price of the mixture be Rs. x per kg, then selling price $x+\frac{25\times x}{100}=3$
$\Rightarrow$ 1.25 x = 3
$\Rightarrow$ x = 2.4
Now the average cost price of mixture = Rs. 2.4

Therefore, the ratio of cheaper to costlier rice is 12 : 30, i.e.,
2 : 5.
NOTE
Re 1 = 100 paise. There is no change in the ratio when we change the rupees into paise, just for our convenience in calculation.