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\\November 22, 2023 5:02 PM Surender Prajapati Proof 4 Reader _________________________ Date: ___________________74
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
Since, 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 on a mobile phone which he sold 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,
CP = SP + Loss = `15400 + `840 = `16240
Thus, the cost price of the mobile phone is `16240.
finding the selling Price
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
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
Since, 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 the oranges = `(70 × 5) = `350
Profit earned = `135
Since, 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.
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