Question

A trader mixes 26 kg of rice at Rs.20 per kg with 30 kg of rice of other variety at Rs.36 per kg and sells the mixture at Rs.30 per kg. His profit percentage:
A. No profit, no loss.
B. 5%
C. 10%
D. None of the above.

Answer 1

Hint: In this question it is given that a trader mixes 26 kg of rice at Rs.20 per kg with 30 kg of rice of other variety at Rs.36 per kg and sells the mixture at Rs.30 per kg. We have to find the profit percentage. So to find the solution we need to first find the C.P(Cost Price) and S.P(Selling Price) and after that we have to calculate the Profit percentage which is, $$Profit\ percentage=\dfrac{\left( S.P-C.P\right) }{C.P} \times 100\%$$.

Complete step-by-step answer:

It is given that the cost of first variety of rice is Rs.20 per kg,
i.e, the C.P of 1kg rice=Rs.20.
So the cost of 26 kg rice= Rs.($26\times 20$) =Rs.520.

And the cost of the second variety of rice is Rs.36 per kg.
i.e, the C.P of 1kg rice=Rs.36.
So the cost of 30 kg rice= Rs.($30\times36$) =Rs.1080.
So the C.P of 56(=26+30) kg rice is Rs.(520+1080)=Rs.1600.

Now it is mentioned that this mixture of rice(i.e, 56kg) sells at Rs.30 per kg.
So the S.P of 56 kg rice=Rs.($56\times 30$)=Rs.1680.

Now, Profit percentage
=$$\dfrac{\left( S.P-C.P\right) }{C\cdot P} \times 100\%$$
=$$\dfrac{\left( 1680-1600\right) }{1600} \times 100\%$$
=$$\dfrac{80}{1600} \times 100\%$$
=$$\dfrac{1}{20} \times 100\%$$
=5%
So the correct option is option B.

Note: To solve this type of question you have to keep in mind that whether you calculate profit percentage or loss percentage, you have to divide the change( S.P-C.P or C.P-S.P) by C.P.