Profit and Loss
- Sapna purchased a cycle for Rs. 1,000 and sold it for Rs. 1,200. Her gain in percentage is :
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Given in question , C.P. of cycle = Rs. 1000
Its S.P. = Rs. 1200
Profit = Rs. (1200 – 1000) = Rs. 200∴ Profit percent = Profit × 100 % C.P. of cycle
Correct Option: A
Given in question , C.P. of cycle = Rs. 1000
Its S.P. = Rs. 1200
Profit = Rs. (1200 – 1000) = Rs. 200∴ Profit percent = Profit × 100 % C.P. of cycle ∴ Profit percent = 200 × 100 = 20% 1000
- A dishonest shopkeeper professes to sell goods at his cost price but uses a false weight of 950 gms, for each kilogram. His gain percent is :
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As we know that ,
Profit percent = Error × 100 True weight – error Profit percent = 
50 
× 100 1000 - 50
Correct Option: B
As we know that ,
Profit percent = Error × 100 True weight – error Profit percent = 50 × 100 1000 - 50 Profit percent = 50 × 100 = 100 = 5 5 % 950 19 19
- The cost price of 20 oranges is same with selling price of 16 oranges. The profit percentage is
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Let the CP of 1 orange = $ 1
∴ CP of 16 oranges = $ 16
SP of 16 oranges = $ 20
Gain = SP of 16 oranges - CP of 16 oranges = 20 - 16 = $ 4Gain percent = Gain × 100 CP of 16 oranges Gain percent = 4 × 100 = 25% 16
Second method to solve this question :
Here, p = 20, q = 16
Using gain % formula ,Gain % = p - q × 100 q
Correct Option: C
Let the CP of 1 orange = $ 1
∴ CP of 16 oranges = $ 16
SP of 16 oranges = $ 20
Gain = SP of 16 oranges - CP of 16 oranges = 20 - 16 = $ 4Gain percent = Gain × 100 CP of 16 oranges Gain percent = 4 × 100 = 25% 16
Second method to solve this question :
Here, p = 20, q = 16Gain % = p - q × 100 q Gain % = 20 - 16 × 100 16 Gain % = 4 × 100 = 25% 16
Let the CP of 1 orange = $ 1
∴ CP of 16 oranges = $ 16
SP of 16 oranges = $ 20
Gain = SP of 16 oranges - CP of 16 oranges = 20 - 16 = $ 4Gain percent = Gain × 100 CP of 16 oranges Gain percent = 4 × 100 = 25% 16
Second method to solve this question :
Here, p = 20, q = 16Gain % = p - q × 100 q Gain % = 20 - 16 × 100 16 Gain % = 4 × 100 = 25% 16
- Mahesh purchased a radio at (9 / 10) of its selling price and sold it at 8% more than its original selling price. His gain percent is :
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Let the original selling price of radio = 10 U = $ 100
∴ C.P. of radio = 9 U = $ 90
When Mahesh sold it at 8% more than its original selling price , then
∴ New selling price = $ 108
Gain = New selling price - C.P. of radio = 108 - 90 = $ 18∴ Gain percent = Gain × 100 C.P. of radio
Correct Option: A
Let the original selling price of radio = 10 U = $ 100
∴ C.P. of radio = 9 U = $ 90
When Mahesh sold it at 8% more than its original selling price , then
∴ New selling price = $ 108
Gain = New selling price - C.P. of radio = 108 - 90 = $ 18∴ Gain percent = Gain × 100 C.P. of radio Gain percent = 18 × 100 = 20% 90
- A coconut merchant finds that the cost price of 2750 coconuts is the same as the selling price of 2500 coconuts. The loss or gain per cent is
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View Hint View Answer Discuss in Forum
Let CP of each coconut be $ 1.
∴ CP of 2500 coconuts = $ 2500
SP of 2500 coconuts = $ 2750
Gain = 2750 - 2500 = $ 250∴ Gain percent = Gain × 100 CP of 2500 coconuts Gain percent = 250 × 100 2500
Second method to solve this question :
Here, p = 2750, q = 2500Gain % = p - q × 100 q
Correct Option: D
Let CP of each coconut be $ 1.
∴ CP of 2500 coconuts = $ 2500
SP of 2500 coconuts = $ 2750
Gain = 2750 - 2500 = $ 250∴ Gain percent = Gain × 100 CP of 2500 coconuts Gain percent = 250 × 100 2500
Second method to solve this question :
Here, p = 2750, q = 2500Gain % = p - q × 100 q Gain % = 2750 - 2500 × 100 2500 Gain % = 250 × 100 = 10% 2500
