CRE 4 - Profit & Loss | Percentage, Profit & Loss
If the cost price of 15 magazines is the same as the selling price of 25 magazines, the loss percentage is
- A.
35%
- B.
28%
- C.
32%
- D.
40%
- E.
None of these
Answer: Option D
Explanation :
SP of 25 magazines = CP of 15 magazines
SP of 25 = CP of 25 – CP of 10
Loss = 10/25 × 100 = 40%
Hence, option (d).
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Kamal loses the selling price of 5 oranges on selling 40 oranges. His loss percentage is
- A.
17.5%
- B.
11.11%
- C.
17%
- D.
None of these
Answer: Option A
Explanation :
Loss = SP of 5 oranges on selling 40 oranges
CP of 40 oranges – SP of 40 oranges = SP of 5 oranges
SP of 45 oranges = CP of 40 oranges = CP of 45 oranges – CP of 5 Oranges
Loss = 100 × 5/45 = 11.11%
Hence, option (a).
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What percent profit is made by selling an article at a certain price if by selling it at half that price there would be a loss at 12.5%?
- A.
50%
- B.
37.5%
- C.
60%
- D.
75%
Answer: Option D
Explanation :
Let CP = Rs. x and SP = y
Then,
If SPnew = 0.5 y, Loss% = (x - 0.5y)/x = 0.125 or x – 0.5y = 0.125x
or 0.875 x = 0.5 y ⇒ y = 0.875/0.5 x = 1.75 x
But when, CP = x, SP = y, profit % = (y - x)/x × 100
= = = 75%
Hence, option (d).
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Oranges are bought at 11 for a rupee and an equal number more at 9 for a rupee. If they are sold at 10 for a rupee what is the gain or loss percent?
- A.
no loss, no gain
- B.
10% loss
- C.
1% loss
- D.
5% gain
Answer: Option C
Explanation :
If x be the number of oranges at each of the prices, then,
Total purchase = x/11 + x/9 = (9x + 11x)/99 = 20x/99
Sales revenue = 2x/10 = x/5
% gain = = = = -1 or 1% loss.
Hence, option (c).
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Workspace:
A table was sold for Rs. 119 at a percentage of profit equal to the cost price of the table. The cost price of the table is :
- A.
Rs. 49
- B.
Rs. 100
- C.
Rs. 70
- D.
Rs. 89
Answer: Option C
Explanation :
Let CP be Rs. x.
Then, (119 - x)/x × 100 = x
⇒ x2 = 11900 - 100x
⇒ x2 + 100x - 11900 = 0
⇒ x = = = Rs. 70
(-ve value has no meaning, hence discarded)
Hence, option (c).
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A man who makes a profit of 25% by selling sugar at Rs. 4.25/kg., lowers his price so as to gain only 17 paise per kg., In what ratio must his sales be increased so that his total profit may be the same as before?
- A.
1 : 6
- B.
1 : 5
- C.
1 : 4
- D.
1 : 3
Answer: Option B
Explanation :
Let CP of sugar be Rs. x/kg.
Then, = 0.25
⇒ 4.25 - x = 0.25x
⇒ 1.25x = 4.25
∴ x = 3.4
Old profit = 4.25 – 3.4 = 0.85
New Profit = 0.17
Hence, 0.85 : 0.17 :: old sales : new sales.
⇒ Hence,
Hence, option (b).
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Cost of 4 bag = Cost of 6 books. Cost of 4 books = Cost of 8 pencils. Cost of 4 pencils = Cost of 3 magazines. If the magazine costs Rs. 96, what is the cost of the bag?
- A.
Rs. 216
- B.
Rs. 144
- C.
Rs. 168
- D.
Rs. 318
- E.
None of these
Answer: Option A
Explanation :
4 Bags = 6 books, 4 books = 8 pencils, 4 pencils = 3 magazines, Magazine = Rs. 96
Pencil = 3/4 × 96 = Rs. 72
Book = 8/4 × 72 = Rs. 144
Bag = 6/4 × 144 = Rs. 216
Hence, option (a).
Video Solution:
Workspace:
If chairs bought at prices ranging from Rs. 400 to Rs. 700, are sold at prices ranging from Rs. 500 to Rs. 950, then what can be the maximum possible profit per chair?
- A.
Rs. 450
- B.
Rs. 550
- C.
Rs. 600
- D.
Cannot be determined
- E.
None of these
Answer: Option B
Explanation :
The maximum profit will be when C.P. is minimum and S.P. is maximum.
So maximum profit per chair = 950 – 400 = Rs. 550.
Hence, option (b).
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The selling price of 20 articles is the same as the cost price of 30 articles. What is the profit percentage?
- A.
45
- B.
40
- C.
16.67
- D.
55
- E.
None of these
Answer: Option E
Explanation :
CP of 30 articles = SP of 20 articles
SP of 20 = CP of 20 + CP of 10. Now SP = CP + Profit
So profit = 10/20 × 100 = 50%
Hence, option (e).
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If the selling price of an article is 7/5 times its cost price, then the profit percent is
- A.
33.33
- B.
30
- C.
40
- D.
45
- E.
None of these
Answer: Option C
Explanation :
If S.P. is 7/5 times of C.P.,
SP = 7/5 CP = CP + 2/5 CP = CP + Profit.
So the profit will be 2/5 of C.P.
Therefore, Profit percentage = 2/5 × 100 = 40%
Hence, option (c).
Video Solution:
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