Discussion
A shopkeeper buys a fan for ₹ 1,500 and marks it for ₹ 2,500. He sells it after giving a discount of 20% on its marked price and an additional discount of ₹ 250 on cash payment. If a customer buys it on cash payment, then what is the profit (in ₹) earned by the shopkeeper?
Answer: C
The profit is ₹ 250.
Apply the 20% discount to the marked price first, then the extra cash discount.
\[ \begin{aligned} \text{after 20\% off} &= 2500 \times 0.8 = 2000 \\ \text{selling price} &= 2000 - 250 = 1750 \\ \text{profit} &= 1750 - 1500 = 250 \end{aligned} \]
Taking the ₹ 250 off first and then 20% gives \(2250 \times 0.8 = 1800\), a profit of 300, which is the wrong order. Forgetting the cash discount altogether gives a profit of ₹ 500, which is not offered.
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