Question

A trader mixes 26kg 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 percent is
(a) 8%
(b) 5%
(c) 10%
(d) No profit no loss

Answer 1

Hint: Start by finding the total cost price of the mixture of rice using the data that is given in the question. Then add the quantities of both varieties of rice to get the total quantity of the mixture and multiply it by 30 to get the total amount which he earned. For finding the profit, subtract the net cost price by net selling price and divide the result by cost price and multiply the result by 100 to get it converted to percent and get the answer.

Complete step-by-step answer:
Let us start the solution to the above question by finding the total cost price of the trader. It is given that he mixes 26kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg, so the total cost is:
$\text{Total cost price}=26\times 20+30\times 36=520+1080=\text{Rs}\text{. }1600$
Now, the trader has mixed both the varieties of rice, so he has 26+30=56 kg of the mixture of rice. Also, it is given that he sold the mixture at the cost of Rs. 30 per kg. So, the total selling price is:
$\text{Total selling price}=56\times 30=\text{Rs}\text{. }1680$
Now, we will find the profit made by trader. For finding the profit we will subtract the net cost price by net selling price and divide the result by cost price and multiply the result by 100 to get it converted to percent.
$profit=\dfrac{SP-CP}{CP}\times 100$
$\Rightarrow profit=\dfrac{1680-1600}{1600}\times 100=\dfrac{80}{1600}\times 100=5\%$
Hence, the answer to the above question is option (b).

Note: Don’t get confused and calculate the profit with respect to SP. Always remember that the profit and loss are calculated with respect to cost price and discount is calculated with respect to selling price. Also, remember that while finding profit and loss we subtract CP from SP and if the result is negative it indicates loss, while positive result indicates profit.