Discussion
A person purchased 150 bananas at the rate 2 bananas a rupee and sold them at the rate 3 bananas in two rupees. What is the total profit ?
Answer: A
The total profit is Rs. 25.
Find the total cost and the total selling price of the 150 bananas.
\[ \begin{aligned} \text{Cost} &= \frac{150}{2} \times 1 = \text{Rs. } 75 \\ \text{Sale} &= \frac{150}{3} \times 2 = \text{Rs. } 100 \\ \text{Profit} &= 100 - 75 = \text{Rs. } 25 \end{aligned} \]
Check: each banana costs 50 paise and sells for about 66.7 paise, a gain of one-sixth of a rupee per banana, and 150 bananas at one-sixth of a rupee is 25 rupees. The other options come from misreading the rates, for example treating '3 bananas in two rupees' as two rupees per banana.
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