A man loses 28% by selling an article for ₹144. If he sells it for ₹288, what will be his gain/loss percentage?

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Accepted Answer

We are given:

* Loss of **28%** when selling at **₹144**
* Need to find gain/loss % when selling at **₹288**

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### Step 1: Let the **Cost Price (CP)** be ₹x

From the first case:

> Loss = 28%
> Selling Price (SP) = ₹144

$$
	ext{SP} = 	ext{CP} 	imes (1 - 	ext{Loss\%}) \
144 = x 	imes (1 - 0.28) \
144 = x 	imes 0.72 \
x = \frac{144}{0.72} = 200
$$

So, **Cost Price = ₹200**

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### Step 2: Now use the new selling price ₹288

$$
	ext{Profit/Loss} = 	ext{SP} - 	ext{CP} = 288 - 200 = 88 \
	ext{Profit\%} = \frac{88}{200} 	imes 100 = 44\%
$$

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### Final Answer: **44% Profit**

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