Profit and Loss
- A shopkeeper sells eggs at 20 for a rupee gaining 30%. How many eggs did he buy for a rupee ?
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SP of 20 eggs = ₹ 1 and gain = 30%
CP of 20 eggs = (1 x 100)/130 = ₹ 10/13
Now, ₹ 10/13 yields 20 eggs.Correct Option: D
SP of 20 eggs = ₹ 1 and gain = 30%
CP of 20 eggs = (1 x 100)/130 = ₹ 10/13
Now, ₹ 10/13 yields 20 eggs.
∴ ₹ 1 will yield (20 x 13)/10 = 26 eggs
Clearly, 26 eggs were bought for ₹ 1.
- Find the percentage loss when the cost price and selling price of an article are in the ratio of 5 : 3. ?
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Let CP = 5N and SP = 3N
Loss = (CP- SP) = (5N - 3N) = 2NCorrect Option: A
Let CP = 5N and SP = 3N
Loss = (CP- SP) = (5N - 3N) = 2N
Loss % = (2N / 5N) x 100 %
= 40%
- A man perchases certain number of toffees at 6 per rupee. and the same number of toffees at 7 per rupee. He mixed the toffs and sells them at 6 per rupee. What is his gain or loss percent?
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CP of 1 toffee for 1st rate = 1/6
CP of 1 toffee for 2nd rate = 1/7
CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
CP of 1 toffee after mixing = 13/84
SP of 1 toffee after mixing = 1/6
Gain = 1/6 - 13/84 = 1/84Correct Option: B
CP of 1 toffee for 1st rate = 1/6
CP of 1 toffee for 2nd rate = 1/7
CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
CP of 1 toffee after mixing = 13/84
SP of 1 toffee after mixing = 1/6
Gain = 1/6 - 13/84 = 1/84
Gain% = [(1/84) / (13/84)] x 100% = 100/13% = 79/13%
- Punkaj purchased an item for ₹ 7500 and sold it at the gain of 24%. Find the amount he purchased another item and sold it at the loss of 20%. What is his over all gain/ loss?
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CP1 =₹ 7500
∴ SP1 = (7500 x 124)/100 = ₹ 9300 = CP2
SP2 = (9300 x 80)/100= ₹ 7440
⇒ CP1 > SP1
Hence, loss is incurred in this transaction
∴ Require loss = (CP1 - SP2)Correct Option: C
CP1 =₹ 7500
∴ SP1 = (7500 x 124)/100 = ₹ 9300 = CP2
SP2 = (9300 x 80)/100= ₹ 7440
⇒ CP1 > SP1
Hence, loss is incurred in this transaction
∴ Require loss = (CP1 - SP2)
= 7500 - 7440
= ₹ 60
- Sumit purchased an item for ₹ 4000 and sold it at the gain% of 35%. From that amount, he purchased another item and sold it at the loss of 20%. What is his over all gain/loss ?
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CP1 = ₹ 4000
SP1 = 4000 x 135/100 = ₹ 5400 CP2
SP2 = 5400 x 80/100 = ₹ 4320
CP1 < SP2
Hence, profit earned here.
∴ Required gain = ( SP2 - CP1)Correct Option: B
CP1 = ₹ 4000
SP1 = 4000 x 135/100 = ₹ 5400 CP2
SP2 = 5400 x 80/100 = ₹ 4320
CP1 < SP2
Hence, profit earned here.
∴ Required gain = ( SP2 - CP1)
= 4320 - 4000 = ₹ 320