Profit and Loss
- A radio dealer sold a radio at a loss of 2.5%. Had he sold it for 100 more, he would have gained (15 / 2) % . In order to gain (25 / 2) % , he should sell it for
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If C.P. of radio be $ x, then 10% of x = 100
⇒ x = 1000For a gain of 12 1 % , 2 
S.P. = 1000 × 225 = $ 1125 200
We can find required answer with the help of given formula :
Here, a = 2.5%,R = 100, b = 7 1 % 2 C.P. = R × 100 b + a C.P. = 100 × 100 = Rs. 1000 2.5 + 7.5 Now New S.P. = C.P. × 
100 + profit% 
100
Correct Option: B
If C.P. of radio be $ x, then 10% of x = 100
⇒ x = 1000For a gain of 12 1 % , 2 S.P. = 1000 × 225 = $ 1125 200
We can find required answer with the help of given formula :
Here, a = 2.5%,R = 100, b = 7 1 % 2 C.P. = R × 100 b + a C.P. = 100 × 100 = Rs. 1000 2.5 + 7.5 Now New S.P. = C.P. × 100 + profit% 100 Now New S.P. = 1000 100 + 12.5 100
New S.P. = 10 × 112.5 = $ 1125
- By selling a table for $ 1140, a man loses 5%. in order to gain 5%, the table must be sold for
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Here , S.P. of table = $ 1140
On 5% loss ,C.P. of table = 1400 × 100 = $ 1200 95 S.P. at 5% gain = 1200 × 105 = $ 1260 100
Second method to solve this question :C.P. = S P 100 100 - Loss% C.P. = 1140 100 100 - 5 C.P. = 114000 = $ 1200 95 S.P. = C.P × 100 + Profit% 100
Correct Option: A
Here , S.P. of table = $ 1140
On 5% loss ,C.P. of table = 1400 × 100 = $ 1200 95 S.P. at 5% gain = 1200 × 105 = $ 1260 100
Second method to solve this question :C.P. = S P 100 100 - Loss% C.P. = 1140 100 100 - 5 C.P. = 114000 = $ 1200 95 S.P. = C.P × 100 + Profit% 100 C.P. = 1200 100 + 5 100 C.P. = 1200 × 105 = $ 1260 95
- A radio is sold for $ 990 at a profit of 10%. What would have been the actual profit or loss on it, had it been sold for Rs. 890?
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Here , Selling price of radio ( S.P. ) = $ 990 and profit = 10%
C.P. of radio = 100 × S.P. of radio 100 + profit% C.P. of radio = 100 × 990 = $ 900 110
Second SP = $ 890
∴ Loss = 900 – 890 = $ 10
We can find required answer with the help of given formula :C.P. = S.P. 100 100 + Profit%
Correct Option: A
Here , Selling price of radio ( S.P. ) = $ 990 and profit = 10%
C.P. of radio = 100 × S.P. of radio 100 + profit% C.P. of radio = 100 × 990 = $ 900 110
Second SP = $ 890
∴ Loss = 900 – 890 = $ 10
We can find required answer with the help of given formula :C.P. = S.P. 100 100 + Profit% C.P. = 900 100 100 + 10 C.P. = 99000 = 900 110
Loss = C.P. – S.P. = 900 – 890 = $ 10
- By selling a plot of land for 45,000 a person loses 10%. At what price should he sell it to gain 15%?
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Given that , Selling price of plot of land = $ 45,000
Loss = 10%C.P. = 100 × S.P. 100 - Loss% C.P. = 100 × 45000 = $ 50000 90
Correct Option: C
Given that , Selling price of plot of land = $ 45,000
Loss = 10%C.P. = 100 × S.P. 100 - Loss% C.P. = 100 × 45000 = $ 50000 90 ∴ S.P. = 115% of $ 50000 = $ 50000 × 115 = $ 57,500 100
- A loss of 20% is incurred when 6 articles are sold for a rupee. To gain 20% how many articles should be sold for a rupee?
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Let S.P. = 100% = 6
On 20% loss ,C.P. = 80% = 6 × 80 = 24 100 5
To gain 20% ,Now, 120% = 24 5
Correct Option: D
Let S.P. = 100% = 6
On 20% loss ,C.P. = 80% = 6 × 80 = 24 100 5
To gain 20% ,Now, 120% = 24 5 100% = 24 × 100 = 4 5 × 120
