Profit and Loss
- A milkman bought 70 litres of milk for $ 630 and added 5 litres of water. If he sells it at 9.00 per litre, his profit percentage is
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Given , Cost Price of 75 litres of mixture of milk and water = 630
Selling Price of 75 litres of mixture of milk and water = 9 × 75 = 675
Gain = SP - CP = 675 – 630 = 45∴ Gain percent = Gain × 100 Cost Price of 75 litres of mixture of milk and water Gain percent = 45 × 100 630
Correct Option: D
Given , Cost Price of 75 litres of mixture of milk and water = 630
Selling Price of 75 litres of mixture of milk and water = 9 × 75 = 675
Gain = SP - CP = 675 – 630 = 45∴ Gain percent = Gain × 100 Cost Price of 75 litres of mixture of milk and water Gain percent = 45 × 100 630 Gain percent = 50 = 7 1 % 7 7
- On selling an article for $ 651, there is a loss of 7%. The cost price of that article is
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Let the C.P. of article be 'y ' .
Given that , Selling price ( S.P. ) = $ 651 , Loss% = 15%
∵ (100 – 7)% y = 651 ⇒ 93% y =
651⇒ y = 651 × 100 = $ 700 93
Second method to solve this question :Cost Price = Selling Price 
100 
100 - Loss% Cost Price = 651 100 100 - 7
Correct Option: D
Let the C.P. of article be 'y ' .
Given that , Selling price ( S.P. ) = $ 651 , Loss% = 15%
∵ (100 – 7)% y = 651 ⇒ 93% y =
651⇒ y = 651 × 100 = $ 700 93
Second method to solve this question :Cost Price = Selling Price 100 100 - Loss% Cost Price = 651 100 100 - 7 Cost Price = 651 × 100 = $ 700 93
- A man buys a cycle for $ 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
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As per the given question ,
Given , Cost price of cycle ( C.P. ) = $ 1400 , Loss = 15%Selling price ( S.P. ) = Cost price × ( 100 - Loss ) 100 Selling price = 1400 × ( 100 - 15 ) 100
Correct Option: B
As per the given question ,
Given , Cost price of cycle ( C.P. ) = $ 1400 , Loss = 15%Selling price ( S.P. ) = Cost price × ( 100 - Loss ) 100 Selling price = 1400 × ( 100 - 15 ) 100 Selling price = 1400 × 85 = $ 1190 100
- To make a profit of 20% the selling price of the goods is Rs. 240. The cost price of the goods is :
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Here , Profit = 20% and Selling price of the goods = Rs. 240
As we know that ,C.P. of article = 100 × S.P. 100 + Profit%
Correct Option: A
Here , Profit = 20% and Selling price of the goods = Rs. 240
As we know that ,C.P. of article = 100 × S.P. 100 + Profit% C.P. of article = Rs. 100 × 240 = Rs. 200 120
- A sold an article to B at 20% profit and B sold to C at 15% loss. If A sold it to C at the selling price of B, then A would make
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Let Cost Price of article for A = Rs. 100
On 20% profit ,A’s Selling Price = 100 × 120 = Rs. 120 100
On 15% loss ,B’s Selling Price = 120 × 85 = Rs. 102 = C.P. for C 100
Correct Option: B
Let Cost Price of article for A = Rs. 100
On 20% profit ,A’s Selling Price = 100 × 120 = Rs. 120 100
On 15% loss ,B’s Selling Price = 120 × 85 = Rs. 102 = C.P. for C 100
Profit = B’s Selling Price - A’s Selling Price = 102 - 100 = Rs. 2∴ Required profit percent = 2 × 100 = 2% 100
