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Question

# Ramrao bought a cupboard for Rs 4500 and sold it for Rs 4950. Shamrao bought a sewing machine for Rs 3500 and sold it for Rs 3920. Whose transaction was more profitable?

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Solution

## Cost price of a cupboard = Rs 4500 Selling price of a cupboard = Rs 4950 Since selling price is more than cost price, so there is a profit. Profit = Selling Price − Cost Price = 4950 − 4500 = Rs 450 So, Ramrao made a profit of Rs 450 in this transaction. Cost price of a sewing machine = Rs 3500 Selling price of a sewing machine = Rs 3920 Since selling price is more than cost price, so there is a profit. Profit = Selling Price − Cost Price = 3920 − 3500 = Rs 420 So, Shamrao made a profit of Rs 420 in this transaction. Let x% be the Ramrao's profit and y% be the Shamrao's profit. Then, $\frac{x}{100}=\frac{\mathrm{profit}}{\mathrm{cost}\mathrm{price}}=\frac{450}{4500}$ and $\frac{y}{100}=\frac{\mathrm{profit}}{\mathrm{cost}\mathrm{price}}=\frac{420}{3500}$ ⇒$\frac{x}{100}×100=\frac{450}{4500}×100$ and $\frac{y}{100}×100=\frac{420}{3500}×100$ ⇒x = 10 and y = 12 So, Ramrao made a profit of 10% on a cupboard and Shamrao made a profit of 12% on a sewing machine. ∴ Shamrao's transaction was more profitable.

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