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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
finding the Cost Price Example 7: Vasu, a toy store owner, bought a toy train for `1880 and sold it at a profit of
`225. Find its selling price.
In case of profit: To find the cost price (CP) when the profit (P) earned and the
selling price (SP) are given, we use the following formula: Solution: CP of the toy train = `1880, Profit = `225
Cost price = Selling price – Profit Be Aware SP = CP + Profit
or CP = SP – P Profit is also known as gain. = `1880 + `225 = `2105
In case of loss: To find the cost price (CP) when the loss (L) incurred and the selling Hence, the selling price of the toy train is `2105.
price (SP) are given, we use the following formula: Example 8: A shopkeeper bought 5 kg of oranges at `70 per kg and sold all of
Cost price = Selling price + Loss them at a profit of `135. What was the selling price of the oranges per kg?
or CP = SP + L Solution: CP of the oranges = `(70 × 5) = `350
Profit earned = `135
Critical Thinking
Challenge Question SP = CP + Profit = `350 + `135 = `485
A shopkeeper bought 20 old chairs for `150 each. He spent `1,000 on repairing and Now, SP of 1 kg of oranges = `(485 ÷ 5)
painting all of them. He then sold 12 of the chairs for `300 each and the remaining = ` 485 = `97
chairs for `225 each. Did he make an overall profit or loss, and by how much? 5
Thus, the selling price of 1 kg of oranges is `97.
Example 5: Mahesh, a carpenter, sold a sofa set for `54,000 at a profit of `2800. Find the
price at which he bought it. Think Tank Critical Thinking
Solution: SP of the sofa set = `54,000 A fruit seller buys bananas for `60 per dozen and sells them for `15 for every 3
Profit earned = `2800 bananas. Does he make a profit or a loss?
CP = SP – Profit Practice time 10B
= `54,000 – `2800 = `51,200
Thus, the cost price of the sofa set is `51,200. 1. Tick (3) the correct option.
Example 6: A shopkeeper suffered a loss of `840 on a mobile phone which he sold for ( a) Profit = ______________.
`15,400. Find the cost price of the mobile phone.
Solution: SP of mobile phone = `15,400 (i) SP – CP (ii) CP – SP
Loss suffered = `840 (iii) SP + CP (iv) SP = CP
Since it is the case of loss, ( b) CP = ______________.
CP = SP + Loss = `15,400 + `840 = `16,240. (i) SP – Profit (ii) SP + Profit
Thus, the cost price of the mobile phone is `16,240. (iii) SP + Loss (iv) Either (i) or (iii)
finding the selling Price ( c) If CP is greater than SP, then there is:
In case of profit: To find the selling price (SP) when the profit (P) earned and the (i) a loss (ii) a profit
cost price (CP) are given, we use the following formula: (iii) both (i) and (ii) (iv) no loss, no profit
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 ( d) If selling price = `100 and cost price = `108, then profit or loss is:
price (CP) are given, we use the following formula: (i) loss, `4 (ii) profit, `8
Selling price = Cost price – Loss or SP = CP – Loss (iii) loss, `8 (iv) No loss no profit
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