Profit and Loss problems
- 1. Sreya bought a plot for Rs. 6,00,000, then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain?
Options- A. 13.8 %
- B. 11.4 %
- C. 12.5 %
- D. 14.5 % Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 12.5 %
Explanation:
10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000
15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000
Now, total profit = 30000 + 45000 = 75000
Profit % = 75000/600000 x 100 = 12.5 %
- 2. A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?
Options- A. 260/11%
- B. 18.4%
- C. 22.5%
- D. 100/7% Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
- C.P = M.P - P%
Correct Answer: 100/7%
Explanation:
When profit is calculated on Marked Price (M.P) then,
Let M.P = 100
=> C.P = 100 - 30 = 70
But S.P = Rs. 80 as he gave 20% discount,
Now, Actual Profit =
= 100/7 %
- 3. If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?
Options- A. 0 %
- B. 25 %
- C. 75 %
- D. 50 % Also asked in: CAT, Bank PO
Correct Answer: 50 %
Explanation:
Let the cost price be x and selling price be y.
Loss = x ? y
When the cost price doubles, the loss gets tripled.
So it becomes like this, 2x ? y = 3(x-y)
=> x = 2y
Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %
- 4. Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ?
Options- A. Rs. 17.80
- B. Rs. 16.30
- C. Rs. 14
- D. Rs. 15.40 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: Rs. 16.30
Explanation:
C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
- 5. The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ?
Options- A. 51.32 %
- B. 49.23 %
- C. 48.4 %
- D. 46.8 % Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 48.4 %
Explanation:
Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.
- 6. Raju sold an article by giving a discount of 8% for Rs. 17,940 and earn profit of 19.6 %. If he did not give discount then how much profit percentage he gets ?
Options- A. 27%
- B. 30%
- C. 32%
- D. 25% Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 30%
- 7. Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?
Options- A. 22%
- B. 27%
- C. 20%
- D. 18% Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 20%
Explanation:
Given
125% ---- 3400
=> 100% ---- ?
=> ? = 3400x100/125 = 2720
=> Cost price of the article = Rs. 2720
Profit when article sold at Rs. 3265 = 3265 - 2720 = 545
Hence, Profit% = Gain x 100/cost price
=> P% = 545 x 100/2720
=> P% = 20%
- 8. Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?
Options- A. Rs. 3680
- B. Rs. 3560
- C. Rs. 3320
- D. Rs. 3250 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 3250
Explanation:
Let the Cost price of the powerbank = Rs. P
But given that by selling it at Rs. 1950, it gives a loss of 25%
=>
=>
= Rs. 2600
Now, to get a profit of 25%
Selling Price = .
- 9. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
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.
- 10. 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% Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
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%
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