Profit and Loss
- A property dealer sells a house for Rs. 630000 and in the bargain makes a profit of 5% . Had he sold it for Rs. 500000, then what percentage of loss or gain he would have made ?
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SP = Rs. 63000, Profit = 5%
∴ CP =Rs. (100/105) x 63000 = Rs. 600000Correct Option: D
SP = Rs. 63000, Profit = 5%
∴ CP =Rs. (100/105) x 63000 = Rs. 600000
If SP would have been Rs. 500000, then there would have been a loss of 162/3% .
- If a person makes a profit of 10% on 1/4 th of the quantity sold and a loss of 20% on the rest, then what is his average percent profit or loss ?
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Suppose CP = Rs. 100
∴ Gain on Rs. 25 = Rs. 2.50
⇒ SP = Rs. 27.50
Loss on Rs. 75 = Rs. 15
⇒ SP = Rs. 60Correct Option: D
Suppose CP = Rs. 100
∴ Gain on Rs. 25 = Rs. 2.50
⇒ SP = Rs. 27.50
Loss on Rs. 75 = Rs. 15
⇒ SP = Rs. 60
∴ Total SP = 60 + 27.50 = Rs. 87.50
⇒ Loss = Rs. 12.50 i.e. 12.5% loss.
- A man sells 16 mangoes at a cost price of 20 mangoes, then percentage of his gain is ?
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Let the cost price of 20 mangoes = Rs. N
CP of 1 mango = Rs. N/20
SP of 1 mango = Rs. N/16
Gain = SP - CP = N/16 - N/20 = Rs. N/80Correct Option: C
Let the cost price of 20 mangoes = Rs. N
CP of 1 mango = Rs. N/20
SP of 1 mango = Rs. N/16
Gain = SP - CP = N/16 - N/20 = Rs. N/80
Gain percentage = {(N/80) / (N/20)} x 100 % = 25%
- If the cost price of 12 pencils is equal to sale price of 10 pencils, then find the gain or loss as a percentage of the sell price ?
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CP of 12 pencils = Rs. 12
∴ SP of 10 pencils = Rs.12
⇒ SP of 12 Pencils = (12/10) x 12 = Rs.14.40Correct Option: A
CP of 12 pencils = Rs. 12
∴ SP of 10 pencils = Rs.12
⇒ SP of 12 Pencils = (12/10) x 12 = Rs.14.40
∴ Gain per cent = {(14.40 - 12)/12} x 100 = 20%
- Ram bought 800 eggs at Rs. 3.75 each per dozen. He sold 450 of them at 2 for Rs. 1 and remaining at 5 for Rs. 2. His gain % is ?
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Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365Correct Option: B
Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365
Gain = 365 - 250 = Rs. 115
Gain percentage = (115/250) x 100% = 46%