Profit and Loss problems
- 1. When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ?
Options- A. 16
- B. 15
- C. 17
- D. 14 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 15
Explanation:
Given when she sells at Rs. 160 for 20 articles, she get 40% loss.
Then, to get 20% profit selling at Rs. 240 for let 'P' articles
=>
=> 120 x 160 x P = 20 x 70 x 240
=> P = 15 articles.
- 2. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is
Options- A. 51:52
- B. 52:53
- C. 53:54
- D. 54:55 Discuss
Correct Answer: 52:53
Explanation:
Let the Cost price of article is Rs. x
Required ratio = (104% of x) / (106% of x)
=104/106
=52/53 = 52:53
- 3. Cost of 3 cricket balls = cost of 2 pairs of leg pads. Cost of 3 pairs of leg pads = cost of 2 pairs of gloves. Cost of 3 pairs of gloves = cost of 2 cricket bats. If a cricket bat costs Rs 54, what is the cost of a cricket ball.
Options- A. Rs 12
- B. Rs 16
- C. Rs 14
- D. Rs 18 Discuss
Correct Answer: Rs 16
Explanation:
3 pairs of gloves = 2 x 54 = 108 ; 1 pairs of gloves = 36
3 pairs of leg pads = 2 x 36 = 1 pairs of leg pads = 24
3 cricket balls = 2 x 24 = 48
cost of 1 cricket ball = 16;
- 4. A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?
Options- A. He Gained Rs. 200
- B. He lost Rs. 200
- C. He neither gained nor lost
- D. None of the above Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: None of the above
Explanation:
The CP of profitable cow = 9900/1.1 = 9000
and profit = Rs. 900
The CP of loss yielding cow = 9900/0.8 = 12375
and loss = Rs. 2475
so, the net loss = 2475 - 900 = 1575
- 5. If goods be purchased for Rs.450 and 1/3 is sold at a loss of 10%. At what gain % should the remainder is sold to has to gain 20% on the whole transaction?
Options- A. 35%
- B. 28%
- C. 22%
- D. 19% Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 35%
Explanation:
Given the cost price of the articles = Rs. 450
To get overall 20% gain,
Total Selling Price = (20/100) x 450 = 540
One third of the CP = 1/3 x 450 = Rs. 150
But given 1/3 of articles are sold at 10% loss
S.P of 1/3 of articles = 90% of 150
= 90 x 150/100 = 135
Then, S.P on remaining 2/3 goods must be
= 450 - 135 = 405 ...........(1)
CP on remaining goods
= 2/3 x 450 = 300 ............(2)
Profit = SP - CP = 405 - 300 = 105
Profit % = (105/300) x 100
= 35%.
- 6. What is the profit or loss % when a shopkeeper bought 4 mangoes for Rs. 6 and sold them @ 4 mangoes for Rs. 4?
Options- A. 36.333%
- B. 33.666%
- C. 33.333%
- D. 36.666% Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
- We observe that, S.P < C.P
Correct Answer: 33.333%
Explanation:
Cost of 4 mangoes = Rs. 6
Cost of 1 mango = Rs. 6/4 = Rs. 1.5
Now, Selling Price of 4 mangoes = Rs. 4
Selling Price of 1 mango = Rs. 4/4 = Rs. 1.0
Hence, the shopkeeper incurs a loss.
Required loss% = loss/C.P x 100
Loss = 1.5 - 1 = 0.5
C.P = 1.5
Loss% = (0.5/1.5) x 100
= (5/15) x 100
= 1/3 x 100
= 100/3
= 33.333%.
- 7. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
Options- A. 70%
- B. 80%
- C. 90%
- D. None of above Discuss
Correct Answer: 70%
Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295
Required percentage = (295/420) * 100
= 70%(approx)
- 8. 12 days payment to the servant in a cloth showroom in festival season is Rs. 400 plus one shirt. The servant leaves after 9 days and recieves Rs. 280 and a shirt. What is the price of the shirt ?
Options- A. Rs. 80
- B. Rs. 120
- C. Rs. 70
- D. Rs. 100 Also asked in: Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 80
Explanation:
The servant worked for 9 days instead of 12 days, he should receive 9/12 of his total payment
Let the price of 1 shirt be Rs. S
i.e., 3/4 (400 + S).
However, the question states that the servant receive Rs. 280 + S where S is the price of the shirt.
By equating the two equations we get 3/4 (400 + S) = 280 + S.
Therefore, Price of the shirt S = Rs. 80.
- 9. By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%?
Options- A. Rs.720
- B. Rs.640
- C. Rs.540
- D. Rs.480 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: Rs.480
Explanation:
SP = Rs.800 ; Profit = 25%
Now, CP = Rs.640
Loss = 25% = 25% of Rs.640 = Rs.160
Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480
- 10. A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?
Options- A. Rs.37,500
- B. Rs.36,400
- C. Rs.37,415
- D. Rs.36,500 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: Rs.37,500
Explanation:
Assume A be the cost price.
Therefore,
=> A = Rs 37,500.
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