Profit and Loss
- The cost of a house was $ X lakhs in 2005. After 3 years, the owner of the house sold it for 25% more than she paid it. But she has to pay a tax of 50% of the gain. The tax amount she has to pay is.
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As per the given in question ,
The owner of the house sold it for 25% more than she paid it ,thenGain = X × 25 = $ X 100 4
Correct Option: B
As per the given in question ,
The owner of the house sold it for 25% more than she paid it ,thenGain = X × 25 = $ X 100 4 Taxes = X × 1 = $ X 4 2 8
- Gita buys a plot of land for $ 96,000. She sells (2 / 5) of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by selling the remaining land. The gain % on the remaining land is
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Given that , C.P. of a plot of land = $ 96,000
Total expected S.P. = 96000 × 110 = $ 105600 100 S.P. of first part = 2 × 96000 × 94 = $ 36096 5 100
S.P. of remaining part = 105600 – 36096 = $ 69504C.P. of remaining part = 3 × 96000 = $ 57600 5
Gain = 69504 – 57600 = $ 11904
Correct Option: B
Given that , C.P. of a plot of land = $ 96,000
Total expected S.P. = 96000 × 110 = $ 105600 100 S.P. of first part = 2 × 96000 × 94 = $ 36096 5 100
S.P. of remaining part = 105600 – 36096 = $ 69504C.P. of remaining part = 3 × 96000 = $ 57600 5
Gain = 69504 – 57600 = $ 11904
If the gain percent be y, then57600 × y = 11904 100 ⇒ y = 11904 × 100 = 20 2 % 57600 3
- By selling 25 metres of cloth a trader gains the selling price of 5 metres of cloth. The gain percent of the trader in % is
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Given in question , S.P. of 25m of cloth – C.P. of 25m of cloth = S.P. of 5m of cloth
∴ C.P. of 25m of cloth = S.P. of 20m of cloth
∴ C.P. of 20m of cloth = $ 20
and S.P. of 20m of cloth = $ 25
Gain = 25 - 20 = $ 5∴ Gain percent = 5 × 100 = 25% 20
Using the given formula :
Here, p = 25, q = 5Gain% = q × 100 % p - q
Correct Option: A
Given in question , S.P. of 25m of cloth – C.P. of 25m of cloth = S.P. of 5m of cloth
∴ C.P. of 25m of cloth = S.P. of 20m of cloth
∴ C.P. of 20m of cloth = $ 20
and S.P. of 20m of cloth = $ 25
Gain = 25 - 20 = $ 5∴ Gain percent = 5 × 100 = 25% 20
Using the given formula :
Here, p = 25, q = 5Gain% = q × 100 % p - q Gain% = 5 × 100 % 25 - 5 Gain% = 5 × 100 % 20 Gain% = 5 × 100 = 25% 20
- A tradesman sold an article at a loss of 20%. If the selling price had been increased by $ 100, there would have been a gain of 5%. The cost price of the article (in $ ) was
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Suppose C.P. of article be y.
∴ First S.P. = 80y = $ 4y 100 5
According to question ,4y + 100 = y × 105 = 21y 5 100 20 ⇒ 21y - 4y = 100 20 5
Correct Option: C
Suppose C.P. of article be y.
∴ First S.P. = 80y = $ 4y 100 5
According to question ,4y + 100 = y × 105 = 21y 5 100 20 ⇒ 21y - 4y = 100 20 5 ⇒ 21y - 16y = 100 20
⇒ 5y = 2000⇒ y = 2000 = $ 400 5
- A dishonest dealer professes to sell his goods at the cost price but uses a false weight of 850 g instead of 1 kg. His gain percent is
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On the basis of given details in above question ,
Profit percent = 150 × 100 1000 - 150 Profit percent = 150 × 100 = 300 = 17 11 % 850 17 17
We can find gain % with the help of given formula :Gain% = True weight - False weight × 100% False weight
Correct Option: B
On the basis of given details in above question ,
Profit percent = 150 × 100 1000 - 150 Profit percent = 150 × 100 = 300 = 17 11 % 850 17 17
We can find gain % with the help of given formula :Gain% = True weight - False weight × 100% False weight Gain% = 1000 - 850 × 100% 850 Gain% = 150 × 100% 850 Gain% = 300 = 17 11 % 17 17
