Profit and Loss problems
- 1. A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy?
Options- A. 30 dozens
- B. 40 dozens
- C. 50 dozens
- D. 60 dozens Discuss
Correct Answer: 50 dozens
Explanation:
Cost Price of 2 dozen oranges Rs. (5 + 4) = Rs. 9.
Sell price of 2 dozen oranges = Rs. 11.
If profit is Rs 2, oranges bought = 2 dozen.
If profit is Rs. 50, oranges bought = (2/2) * 50 dozens = 50 dozens.
- 2. If the cost price is 25% of selling price. Then what is the profit percent.
Options- A. 150%
- B. 200%
- C. 300%
- D. 350% Discuss
Correct Answer: 300%
Explanation:
Let the S.P = 100
then C.P. = 25
Profit = 75
Profit% = (75/25) * 100 = 300%
- 3. A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?
Options- A. 15%
- B. 16.66%
- C. 20%
- D. data insufficient Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 20%
Explanation:
103.33 CP- 0.95 CP = 65
CP = Rs. 780
profit (%) = (936 - 780)/780 x 100 = 20%
- 4. A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
Options- A. Rs 100
- B. Rs 150
- C. Rs 200
- D. Rs 250 Discuss
Correct Answer: Rs 200
Explanation:
Let original Cost price is x
Its Selling price = (105/100) * x = 21x/20
New Cost price = (95/100) * x = 19x/20
New Selling price = (110/100 )* (19x/20 )= 209x/200
[(21x/20) - (209x/200)] = 1
=> x = 200
- 5. A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
Options- A. Rs.1200
- B. Rs.1230
- C. Rs.1260
- D. Rs.1290 Discuss
Correct Answer: Rs.1260
Explanation:
Let the new S.P be x, then
(100 - loss%) : (1st S.P.) = (100 + gain%) : (2nd S.P.)
=> x = 1260
- 6. What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?
Options- A. 30 %
- B. 25 %
- C. 15 %
- D. 20 % Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 20 %
Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
- 7. If the manufacturer gains 10 %, the wholesale dealer 15 % and the retailer 25 %, then find the cost of production of a table if the retail price was Rs 1265
Options- A. Rs. 750
- B. Rs. 800
- C. Rs. 850
- D. Rs. 900 Discuss
Correct Answer: Rs. 800
Explanation:
Let the cost of Production = Rs. P
Then, as per question,
=1265
=> P=800
- 8. A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 50% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Options- A. 1.5 lakh
- B. 1.1 lakh
- C. 1.2 lakh
- D. 1.65 lakh Also asked in: CAT, Bank Clerk, Bank PO, AIEEE, Bank Exams
Correct Answer: 1.1 lakh
Explanation:
Total cost of 4 cars = 1+2 = 3 lakh
Total S.P of 4 cars = 3 x 1.5 = 4.5 lakh ( )
S.P of 1 car = 1.2 lakh
S.P of rest 3 cars = 4.5 - 1.2 = 3.3 lakh
Average S.P of all the 3 cars = 1.1 lakh
- 9. The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33% , what is the increased selling price?
Options- A. 240
- B. 360
- C. 420
- D. 600 Discuss
Correct Answer: 420
Explanation:
Initially CP profit SP MP
100 x (100+x) 133.33
After Change 100 2x (100+x)
Now, Since (100+x) - 100 = 2x
x= 20%
CP Profit SP MP
100 20 120 133.33
So, 300 60 360 400
Again 300 120 420
So the increased selling price = Rs. 420
- 10. A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A :
Options- A. Rs. 6000
- B. Rs. 7250
- C. Rs. 5000
- D. None of these Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 7250
Explanation:
A B C
investment 3x 4x 5x
Rate of return 6y% 5y% 4y%
Return
Total = (18+20+20) =
B's earnings - A's earnings = = 250
Total earning = = 7250
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