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- Question
A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ?
Options- A. Rs. 404.80
- B. Rs. 536.80
- C. Rs.440
- D. Rs. 160
- Correct Answer
- Rs. 404.80
ExplanationLet C1 be the cost price of the first article and C2 be the cost price of the second article.
Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%.We know, C1 + C2 = 600.
The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1
The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2.The total selling price of the first and second article = 1.22C1 + 0.92C2.
As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2.
Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600
As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get
1.22C1 + 0.92(600 - C1) = 600
or 1.22C1 - 0.92C1 = 600 - 0.92*600
or 0.3C1 = 0.08*600 = 48
or C1 = 48/(0.3) = 160.
If C1 = 160, then C2 = 600 - 160 = 440.
The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80. - 1. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is ?
Options- A. Rs. 55
- B. Rs. 60
- C. Rs. 65
- D. Rs. 70 Discuss
- 2. ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?
Options- A. 1%
- B. 2%
- C. 4%
- D. 0% Discuss
- 3. The cost price of three varieties of mangoes namely M, N and O is Rs. 20/kg, Rs. 40/kg and Rs. 50/kg respectively. Find the selling price of one kg of mango in which these three varieties of mangoes are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20%?
Options- A. Rs. 47
- B. Rs. 49.2
- C. Rs. 48.5
- D. Rs. 50.3 Discuss
- 4. A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ?
Options- A. 68%
- B. 80%
- C. 75%
- D. 100% Discuss
- 5. A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ?
Options- A. 14.28 % profit
- B. 24.18 % profit
- C. 14.28 % loss
- D. 24.18 % loss Discuss
- 6. 'X' sells fruits at 21% profit. If X bought it for 9% less and sold it for Rs.29 less, he would have gained 25%. The cost price of fruits is?
Options- A. Rs. 400
- B. Rs. 420
- C. Rs. 460
- D. Rs. 480 Discuss
- 7. Buy at 30 cell at 50. What is the profit percentage?
Options- A. 20%
- B. 40%
- C. 45%
- D. 35% Discuss
- 8. The cost price of a college bag is 240% more than the profit obtained on it selling at Rs. 1540. What is the cost price of that college bag?
Options- A. Rs. 1190
- B. Rs. 1288
- C. Rs. 1365
- D. Rs. 1452 Discuss
- 9. The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?
Options- A. Rs.855
- B. Rs.955
- C. Rs.906
- D. Rs.896 Discuss
- 10. John sells his laptop to Mark at a loss of 20% who subsequently sells it to Kevin at a profit of 25%. Kevin after finding some defect in the laptop, returns it to Mark but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Kevin?s loss if John had paid Rs. 1,75,000 for the laptop ?
Options- A. Rs.16,500
- B. Rs.17,500
- C. Rs.14,200
- D. Rs.15,520 Discuss
Profit and Loss problems
Search Results
Correct Answer: Rs. 60
Explanation:
Let the cost price of a ball is Rs.x
Given, on selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls
The equation is :
17x - 720 = 5x
Solving the equation
we get x = 60
Therefore, cost price of a ball is Rs. 60.
Correct Answer: 4%
Explanation:
loss % = %
= (20/10)x(20/10)% = 4%
Correct Answer: Rs. 49.2
Explanation:
Total cost of all varieties of mangoes = 20 x 2 + 40 x 3 + 50 x 5 = 40 + 120 + 250 = Rs. 410
Then, cost of 1 kg mangoes = 410/10 = Rs. 41
To get 20% profit,
The rate at which the mangoes should be sell = 120/100 x 41 = Rs. 49.2
Correct Answer: 100%
Explanation:
When 3 passengers income was 3x
expense= Rs.30
profit =20% of 30 = Rs.6
That means his earning is Rs.36. so that per passenger fare must be Rs.12.
When 4 passengers
earning = 12x4=Rs.48.
expense =Rs.24.
profit = Rs.24 = 100%
Correct Answer: 14.28 % profit
Explanation:
Let 1kg of Rs. 100 then 840gm is of Rs. 84.
Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.]
So now S.P = Rs. 96
But actually it contains 840 gm so C.P for shopkeeper = Rs. 84
S.P = Rs. 96
C.P = Rs. 84
Profit% = {(S.P-C.P)/C.P}x100
{(96-84)/84} x 100 = 14.28571429% PROFIT.
Correct Answer: Rs. 400
Explanation:
Let the cost price of the fruits be 'C.P'
From the given data, after analysis it can be solved as
(121% of C.P) - (125% of 91% of C.P) = 29
Hence, the cost price of the fruits = Rs. 400.
Correct Answer: 40%
Explanation:
Cost price = Rs. 30
Selling price = Rs. 50
Gain = Rs. 20
Profit % = Gain/cost price x 100 = 20/50 x 100 = 40%
Correct Answer: Rs. 1190
Explanation:
Let the profit be Rs. p
Then Cost price of the bag = 340p/100 = 3.4p
According to question,
3.4p + p = 1540
4.4p = 1540
p = 1540/4.4
p = 350
The profit p = Rs, 350
Hence, The cost price of the bag = 3.4p = 3.4 x 350 = Rs. 1190.
Correct Answer: Rs.906
Explanation:
Let C.P =Rs. x
Then as given, (753 - x ) = (x - 455)
=>2x = 1208 => x = 604
There fore S.P= 150% of 604 => Rs. = Rs.906
Correct Answer: Rs.17,500
Explanation:
Let?s assume John bought the laptop for Rs. 100
He then sells it to Mark at a loss of 20% => Rs. 80,
Who consequently sells it to Kevin at a profit of 25% => Rs. 100
Then, Kevin sells it back to Mark for Rs. 90 (Rs.4.50 for every Rs. 5 that he had paid initially), so he suffers a loss of Rs. 10
Therefore, for Rs. 100 there is a loss of Rs. 10,
Then for Rs. 1,75,000 there will be a loss of Rs. 17,500.
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