Question

A shopkeeper bought 25 kg of rice at the rate of Rs 29 per kg and 25 kg of rice at the rate of Rs 20 per kg. He sold the mixture of both types of rice at the rate of Rs 27 per kg. His Profit in this transaction is:
A. Rs 125
B. Rs 150
C. Rs 140
D. Rs 145

Answer 1

Hint: Here, First we will multiply ( $25 \times 29$ and $25 \times 20$ ) to find out the total purchase price paid by the shopkeeper and deduct it from the money received by the seller from selling the mixture of both types of rice to find out the profit.

Complete step-by-step answer:
Total price paid by the shopkeeper when he purchased two types of rice at different rates is calculated as = [Rs ($25 \times 29$) + Rs ( $25 \times 20$ )]
= Rs 725 + Rs 500
= Rs 1225
Now
Total money received by the shopkeeper when he sold the mixture of both types of rice [which is equal to 50 kg = 25 kg + 25 kg] at the rate of Rs 27 per kg is calculated as = Rs $50 \times 27$
= Rs 1350
His Profit in this transaction = Money received from selling price – Total Purchase Price
= Rs 1350 – Rs 1225
= Rs 125
So, His Profit in this transaction is Rs 125

So, the correct answer is “Option A”.

Note: Here, Students might get confused with the word mixture because in this question, the same quantity is given at two different rates and sold at one price.