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Example 5: Mahesh a carpenter sold a sofa set for `54000 at a profit of `2800. Find the
price at which he bought.

Solution: SP of the sofa set = `54000, Profit earned = `2800
So, CP = SP – Profit

= `54000 – `2800 = `51200

Thus, the cost price of the sofa set is `51200.
Example 6: A shopkeeper suffered a loss of `840 by selling a mobile phone for `15400.
Find the cost price of the mobile phone.

Solution: SP of mobile phone = `15400, Loss suffered = `840

Since it is the case of loss,
So, CP = SP + Loss = `15400 + `840 = `16240

Thus, the cost price of the mobile phone is `16240.
Finding the Selling Price

Š In case of profit: To find the selling price (SP) when the profit (P) earned and the

cost price (CP) are given, we use the following formula:
Selling price = Cost price + Profit or SP = CP + P

Š In case of loss: To find the selling price (SP) when the loss (L) incurred and the cost
price (CP) are given, we use the following formula.

Selling price = Cost price – Loss or SP = CP – Loss
Example 7: Vasu, a toy shopkeeper, bought a toy-train for `1880 and sold it at a profit of
`225. Find its selling price.

Solution: CP of the toy-train = `1880, Profit = `225
So, SP = CP + Profit = `1880 + `225 = `2105

Hence, the selling price of the toy-train is `2105.
Example 8: A shopkeeper bought 5 kg of oranges at `70 per kg and sold all of them at a
profit of `135. What was the selling price of oranges per kg?

Solution: CP of 5 kg oranges = `(70 × 5) = `350
Profit earned = `135

So, total SP = CP + Profit = `350 + `135 = `485
485
Now, SP of 1 kg of oranges = `(485 ÷ 5) = ` = `97
5
Thus, the selling price of 1 kg of oranges is `97.

Think and Answer
A fruit seller bought each dozen banana at a cost of `60 and sold them at `15 per
3 bananas. Does he sell the banana at a profit or a loss?

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