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A person buys a radio for ₹1,200 and sells it at a 10% loss. The person then buys thesame model from the supplier and sells it again at a 15% profit.
Question

A person buys a radio for ₹1,200 and sells it at a 10% loss. The person then buys thesame model from the supplier and sells it again at a 15% profit. What is the overall profitor loss percentage?

A.

. 2.55% loss

B.

​2.5% profit

C.

4.5% loss

D.

3.5% profit

Correct option is B

Given:

Cost price of the radio = ₹1,200

First sale: Sold at a 10% loss

Second sale: Sold at a 15% profit

Formula Used:

Profit or Loss Percentage = Profit or LossCost Price×100\frac{\text{Profit or Loss}}{\text{Cost Price}} \times 100​​

Solution:

First Sale (10% Loss):

SP1=1200×(110100)=1200×0.90=1080\text{SP}_1 = 1200 \times \left(1 - \frac{10}{100}\right) = 1200 \times 0.90 = 1080​​

Second Sale (15% Profit):

SP2=1200×(1+15100)=1200×1.15=1380\text{SP}_2 = 1200 \times \left(1 + \frac{15}{100}\right) = 1200 \times 1.15 = 1380​​

Total Selling Price = 1080 + 1380 = 2460

Total Cost Price = 1200 + 1200 = 2400

Overall Profit = 2460 − 2400 = 60

Profit Percentage = 602400×100=2.5%\frac{60}{2400} \times 100 = 2.5\%​​

Thus, the overall profit percentage is 2.5%

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