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.
- A man brought toffees at 6 for a rupee. How many toffees for a rupee must he sell to gain in 50%. ?
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CP of 6 toffees = ₹ 1,
SP of 6 toffees = 150% of 1 = 150/100 = 3/2Correct Option: C
CP of 6 toffees = ₹ 1,
SP of 6 toffees = 150% of 1 = 150/100 = 3/2
∵ For ₹ 3/2, the number of toffees sold = 6
∴ For ₹ 1, the number of toffees sold = 6 x (2/3) = 4
- A merchant fixed the selling price of his articles at ₹ 700 after adding 40% profit to the cost price. As the sale was very low at this price level, he decided to fix at the selling price at 10% profit. Find the new selling price
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Let cost price = ₹ N
According to the question,
N x [(100 + 40)/100] = 700,Correct Option: D
Let cost price = ₹ N
According to the question,
N x [(100 + 40)/100] = 700,
⇒ N = (700 x 100)/140 = 500
∴ New selling price = 500 x (100 + 10)/100
= 5 x 110 = 550
= ₹ 550
- 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%
- A man sold an article at loss of 20%. If he sells the article for ₹ 12 more, he would have gained 10%. The cost of price of the article is ?
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Let the CP = N
According to the question, (110N/100) - (80N/100) = 12Correct Option: B
Let the CP = N
According to the question, (110N/100) - (80N/100) = 12
⇒ (11N/10) - (4N/5) = 12
⇒ 11N - 8N = 120
∴ N = 120/3 = 40
∴ CP = ₹ 40