Question

Krishna bought some wheat at Rs. 10 per kilogram. He buys 2 kg wheat from a ration shop at the rate of Rs. 8 per kilogram. He mixes the two and sells at Rs. 11 per kilogram. He makes 25% profit. What is the ratio of non-ration to ration wheat?
option
A. 1:4
B. 1:5
C. 5:1
D. None of the above

Answer 1

The ratio of non-ration to ration wheat = $2:3$

Step-by-step explanation:

Given,

Cost price of non-ration wheat per kg  $= 10rs$

Cost price of ration wheat per kg $= 8rs$

Selling Price of mixed wheat per kg$=11rs$

Profit made by krishna $= 25\%$

We have profit and selling price so we can find out the cost price of wheat

 Selling price = Cost price  $\times (1+ \frac{profit}{100} )$

                  $11 =$  C.P $\times (1 + \frac{25}{100} )$

                  $11$  = C.P $\times \frac{125}{100}$

                C.P $= 11\times \frac{100}{125}$

                 C.P  $=\frac{44}{5}rs$

the ratio of non-ration to ration wheat $= \frac{\frac{44}{5} - 8 }{ 10 - \frac{44}{5} }$

                                                         $=\frac{2}{3}$

Hence, the required ratio$= 2:3$

Above ratio is not present in the given options.

So, the answer is none of the above.