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A merchant buys a watch for ₹1,500 and sells it at a 10% loss. He then buys the samemodel for ₹1,600 and sells it at a 20% profit. Find the overall pr
Question

A merchant buys a watch for ₹1,500 and sells it at a 10% loss. He then buys the samemodel for ₹1,600 and sells it at a 20% profit. Find the overall profit or loss percentage(rounded off to 2 decimal places).

A.

Profit percentage is 4.48%

B.

Loss percentage is 4.48%

C.

Loss percentage is 5.48%

D.

Profit percentage is 5.48%

Correct option is D

Given:

First transaction: Cost Price = ₹1500, Loss = 10%

Second transaction: Cost Price = ₹1600, Profit = 20%

Formula Used:

Percentage = (Profit or LossTotal CP)×100\left(\frac{\text{Profit or Loss}}{\text{Total CP}}\right) \times 100​​

Solution:

First transaction:

Selling Price = 1500 − 10% of 1500

= 1500 − 150 = ₹1350

Second transaction:

Selling Price = 1600 + 20% of 1600

= 1600 + 320 = ₹1920

Total CP = ₹1500 + ₹1600 = ₹3100

Total SP = ₹1350 + ₹1920 = ₹3270

Net Profit = ₹3270 − ₹3100 = ₹170

Profit % = (1703100)×1005.48%\left( \frac{170}{3100} \right) \times 100 \approx 5.48\%​​

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