Profit and Loss
- A dishonest dealer professes to sell his goods at cost price but he uses a weight of 920 g for 1 kg weight. Find his gain per cent
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According to the formula,
Gain% = [Error / (True value - Error)] x 100%
= [80/(100 - 80)] x 100%Correct Option: B
According to the formula,
Gain% = [Error / (True value - Error)] x 100%
= [80/(100 - 80)] x 100%
= (80/920) x 100%
= 816/23 %
- A man sells an article at a profit of 40%. If he had bought it at 40% less and sold for ₹ 5 less, he would have gained 50% . Find the cost price of the article .
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Let CP = ₹ 100, then SP = 140
New CP = ₹ 60 and new SP = (60 x 150)/100 ₹ 90
According to the question,
₹(140 - 90) = ₹ 50 is equivalent to ₹ 5.Correct Option: A
Let CP = ₹ 100, then SP = 140
New CP = ₹ 60 and new SP = (60 x 150)/100 ₹ 90
According to the question,
₹(140 - 90) = ₹ 50 is equivalent to ₹ 5.
∴ ₹ 100 is equivalent to ₹ 10.
∴ CP = ₹ 10
- Neeta got profit of 10% on selling an article in ₹ 220. To get the profit of 30%, she should sell the article in how many rupees ?
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Let cost price of an article = (220 x 100)/110 = ₹ 200
For getting the profit of 30%, Selling price of an article = 130% of ₹ 200Correct Option: C
Let cost price of an article = (220 x 100)/110 = ₹ 200
For getting the profit of 30%, Selling price of an article = 130% of ₹ 200
= (130/100) x 200 = ₹ 260
- The profit earned after selling a pair of shoes for ₹ 2033 is the same as the loss incurred after selling the same pair of shoes for ₹ 1063. What is the cost price of the shoes ?
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Let the cost price of the shoes = ₹ x
According to the question,
2033 - x = x - 1063Correct Option: B
Let the cost price of the shoes = ₹ x
According to the question,
2033 - x = x - 1063
⇒ 2x = 2033 + 1063 = 3096
∴ x = 3096/2 = ₹ 1548
- An article is sold for ₹ 300 at a profit of 20%. Had it been sold for ₹ 235, the loss percentage would have been ?
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Let the cost price of article = ₹ N
Then, 120% of N = 300
⇒ (120 x N)/100 = 300
∴ N = (300 x 100)/120 = ₹ 250
Now, SP = ₹ 235Correct Option: C
Let the cost price of article = ₹ N
Then, 120% of N = 300
⇒ (120 x N)/100 = 300
∴ N = (300 x 100)/120 = ₹ 250
Now, SP = ₹ 235
Then, loss percentage = [(250 - 235)/250 ] x 100 = 6%