Profit and Loss problems
- 1. Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?
Options- A. 58
- B. 60
- C. 55
- D. 45 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 60
Explanation:
-5-----------------------5-------------------20
5-(-5) = 10
20-5= 15
Ratio of cost price of book1 and book2 = 3:2
Then cost price of book 1 is given by
(3/5) x 100 = Rs. 60.
- 2. Karthik incurred a loss of 40 percent on selling an article for Rs. 5,640. At what price should he have sold the item to have profit of 25%?
Options- A. Rs. 11750
- B. Rs. 12550
- C. Rs. 13650
- D. Rs. 11550 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 11750
Explanation:
From the given data,
The cost price of the article = 5640 x 100/60 = Rs. 9400
The selling price of the article to gain 25% profit = 9400 x 125/100 = Rs. 11750.
- 3. If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
Options- A. 6:31
- B. 11:30
- C. 7:30
- D. 31:6 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 7:30
Explanation:
Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.
M.P. = (6/5) S.P.
Since the percentage discount = Percentage profit,
Therefore, 1/6 = (S.P/C.P) ? 1 => S.P = (7/6) C.P
M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P
Therefore, Ratio of discount to C.P
= (M.P ? S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]
= 7/30
Therefore, the ratio is 7 : 30
- 4. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ?
Options- A. Rs. 6000
- B. Rs. 4500
- C. Rs. 5000
- D. Rs. 6500 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 5000
Explanation:
Income = Rs. 100
Expenditure = Rs. 80
Savings = Rs. 20
Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92
Present Savings = 100 ? 92 = Rs. 8
100 ------ 8
? --------- 400 => 5000
His salary = Rs. 5000
- 5. A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?
Options- A. 8 : 62.5
- B. 55 : 8
- C. 8 : 65
- D. 64.4 : 9 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 8 : 62.5
Explanation:
Article I Article II
-20 25%
5%
20% 25%
4 : 5
Now, Selling of first article = (4-20%) = 0.8
Selling of second article = (5+25%) = 6.25
Therefore the ratio of selling price = 8 : 62.5
- 6. Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ?
Options- A. Rs.1000
- B. Rs. 1020
- C. Rs.1210
- D. Rs.1140 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs.1000
Explanation:
Cost price of the article is given by
= 400x100/(20+20)
= Rs.1000
- 7. A shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.
Options- A. Rs. 70
- B. Rs. 72
- C. Rs. 74
- D. Rs. 76 Discuss
Correct Answer: Rs. 72
Explanation:
We Know,
Profit = 392?320 = Rs72
- 8. Manisha went to shop with certain amount, with which she can buy 50 Chacobar or 40 Fivestar. She uses 10% amount for petrol and out of the remaining balance, she purchases 20 Fivestar and some Chacobar. Find the number of Chacobar she can buy?
Options- A. 20
- B. 24
- C. 26
- D. 28 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 20
Explanation:
Let the total amount be 200 {L.C.M of 40 and 50}
Chacobar C.P. = 200/50 = 4
Fivestar C.P = 200/40 = 5
Remaining Money after petrol = [200 - 200×10%] = 180
Remaining money after buying fivestars = [180 - 20×5] = 80
So number of Chacobar she can buy = 80/4 = 20
- 9. Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?
Options- A. Rs. 7.46/kg
- B. Rs. 8/kg
- C. Rs. 8.74/kg
- D. Rs. 8.56/kg Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 8/kg
Explanation:
Let the selling price of the rice = Rs.P/kg
Now, according to the question,
1040 - 100p = 30p
=> p = 8/kg
Hence, the selling price of the rice = Rs. 8/kg
- 10. A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ?
Options- A. 10%
- B. 15%
- C. 20%
- D. 25% Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 25%
Explanation:
Let the list price be Rs.100.
Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.
Therefore, his percentage is = = 25%
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