Hari bought 20 kg of rice at Rs.36 per kg and 25 kg of rice at Rs. 32 per kg. He mixed the two varieties and sold the mixture at Rs. 38 per kg. Find his gain percent in the whole transition.


Given :

Hari bought 20 kg of rice at Rs.36 per kg and 25 kg of rice at Rs. 32 per kg.
He mixed the two varieties and sold the mixture at Rs. 38 per kg.

To find :

We have to find the gain per cent in the whole transition.

Solution :

Amount spent in buying 20 kg of rice = Rs. $20\times36$ = Rs.720
Amount spent in buying 25 kg of rice = Rs. $25\times32$ = Rs.800
Total amount spent on buying rice (CP) = Rs.$(720+800)$ = Rs.1520.
Total quantity of rice =$(20+25)$ kg = 45kg.
Selling price of the mixture(SP) = Rs. $45\times38$ = Rs. 1710
Profit = Selling price$-$Cost price
           = Rs. $(1710-1520)$
           = Rs. 190
Gain percent = $\frac{SP-CP}{CP} \times 100\%$
                      $=\frac{1710-1520}{1520} \times 100\%$
                      $=\frac{190}{1520} \times 100\%$
                      $=\frac{1}{8} \times 100\%$
                      $=12.5\%$
The gain percent in the whole transaction is 12.5%.

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Updated on: 10-Oct-2022

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