Profit and Loss
- By selling a cellphone for ₹ 2400, a shopkeeper make a profit of 25%. Then, his profit percentage, if he had sold it for ₹ 2040, is
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SP of cellphone = ₹ 2400
∴ CP of cellphone = 2400 x [100/(100 + 25)] = ₹ 1920
∴ Required percentage profit = [(2040 - 1920)/1920] x 100Correct Option: B
SP of cellphone = ₹ 2400
∴ CP of cellphone = 2400 x [100/(100 + 25)] = ₹ 1920
∴ Required percentage profit = [(2040 - 1920)/1920] x 100
= 6.25%
- Rajdeep loses 20% by selling a radio for ₹ 768. What percent will he gain by selling if for ₹ 1020 ?
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SP = ₹ 768 and loss = 20%
∴ CP = (100/80) x 768 = (5/4) x 768 = ₹ 960
Now, CP = ₹ 960 and SP = ₹ 1020
Gain = 1020 - 960 = ₹ 60Correct Option: C
SP = ₹ 768 and loss = 20%
∴ CP = (100/80) x 768 = (5/4) x 768 = ₹ 960
Now, CP = ₹ 960 and SP = ₹ 1020
Gain = 1020 - 960 = ₹ 60
∴ Gain% = (60/960) x 100% = 6.25%
- A trader buys some goods for ₹ 150. If the overhead expenses be 12% of the cost price, at what price should it be sold to earn 10% ?
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Total CP = (CP + Overhead expenses)
= 150 + 12% of 150
= 150 + (12/100) x 150 = ₹ 168Correct Option: A
Total CP = (CP + Overhead expenses)
= 150 + 12% of 150
= 150 + (12/100) x 150 = ₹ 168
Given that, gain = 10%
∴ SP = (110/100) x 168 = ₹ 184.80
- If a watch is sold for ₹ 120, there is a loss of 15%. For a profit of 2%, the watch is to be sold for
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SP = ₹ 120 and loss = 15%
∴ CP = (100/85) x 120 = 2400/17,
Gain = 2%
∴ Required SP = (102/100) x (2400/17)Correct Option: A
SP = ₹ 120 and loss = 15%
∴ CP = (100/85) x 120 = 2400/17,
Gain = 2%
∴ Required SP = (102/100) x (2400/17) = ₹ 144
- A person sold an article for ₹ 3600 and got a profit of 20%. Had he sold the article for ₹ 3150, how much profit would he have got ?
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Let the cost price of the article be ₹ N.
Now, N + 20N/100 = 3600
⇒ 120N/100 = 3600
∴ N = 3000
Now, profit percentage when the article is sold for ₹ 3150 = [(3150 - 3000)/3000] x 100Correct Option: B
Let the cost price of the article be ₹ N.
Now, N + 20N/100 = 3600
⇒ 120N/100 = 3600
∴ N = 3000
Now, profit percentage when the article is sold for ₹ 3150 = [(3150 - 3000)/3000] x 100
= (150/3000) x 100 = 5%