Profit and Loss problems
- 1. Ram bought 4 dozen apples at Rs. 12 per dozen and 2 dozen apples at Rs. 16 per dozen. He sold all of them to earn 20%. At what price per dozen did he sell the apples?
Options- A. Rs. 14.40
- B. Rs. 16.00
- C. Rs. 16.80
- D. Rs. 19.20 Discuss
Correct Answer: Rs. 16.00
Explanation:
C.P. of dozen apples = Rs. (12 x 4 + 16 x 2) = Rs. 80
Gain = 20%
? S.P. = Rs. (120/100) x 80 = Rs. 96
S.P. per dozen = Rs. (96/6) = Rs. 16
- 2. A owns a house worth Rs. 10000. He sells it to B at a profit of 10% based on the worth of the house B sell the house back to A at a loss of 10%. In this transaction A gets?
Options- A. No profit no loss
- B. Profit of Rs . 1000
- C. Profit of Rs . 1100
- D. Profit of Rs . 2000 Discuss
Correct Answer: Profit of Rs . 1100
Explanation:
C.P. of B = 110% of Rs. 10000 = Rs. 11000
Loss of B = 10%
S.P. of B = 90% of Rs. 11000 = Rs. 9900
Thus, C.P. of A = Rs. 9900
So, A gets [(10% of Rs. 10000) + (10000 - 9900)] = Rs. 1100
- 3. An article is sold at a certain prices. By selling it at 2/3 of that price one loses 10%. The gain percent at original price is?
Options- A. 20%
- B. 331/3%
- C. 35%
- D. 40% Discuss
Correct Answer: 35%
Explanation:
Let C.P. = Rs.100
S.P. at 10% loss = Rs. 90
? 2 / 3 of actual S.P. = Rs. 90
So, Actual S.P. = Rs. (90 x 3/2) = Rs. 135
? Gain = 35%
- 4. A merchant sold his goods for Rs. 75 at a profit percent equal to C.P. The C.P. was?
Options- A. Rs. 40
- B. Rs. 50
- C. Rs. 60
- D. Rs. 70 Discuss
Correct Answer: Rs. 50
Explanation:
Let C.P. = Rs. x
? x + x% of x = 75
? x + x2 / 100 = 75
? x2 + 100 x - 7500 = 0
? (x + 150)(x - 50) = 0
? x = 50
- 5. A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in?
Options- A. No loss or gain
- B. Loss of Rs . 1000
- C. Gain of Rs.. 1000
- D. Gain of Rs. 2000 Discuss
Correct Answer: Loss of Rs . 1000
Explanation:
? Loss% = (20/10)2 = (2)2 = 4%
? Total S.P. = Rs. 24000
? Total C.P. = Rs. (100/96) x 24000 = Rs. 25000
? Loss = Rs. 1000
- 6. A man sells a car to his friend at 10% loss. If the friend sells it for Rs. 54000 and gains 20%, the original C.P. of the car was?
Options- A. Rs. 25000
- B. Rs. 37500
- C. Rs. 50000
- D. Rs. 60000 Discuss
Correct Answer: Rs. 50000
Explanation:
? S.P. = Rs. 54000
Gain earned = 20%
? C.P. = Rs. (100/120) x 54000 = Rs. 45000
Now, S.P. = Rs. 45000
And Loss = 10%
? Original C.P. = Rs. (100/90) x 45000 = Rs. 50000
- 7. A man purchased sugar worth of Rs. 400 he sold (3 / 4)th at a loss of 10% and the remainder at a gain of 10%. on the whole, he gets?
Options- A. A loss of 5%
- B. A gain of 51/19
- C. A loss of 51/19
- D. A loss of 55/19 Discuss
Correct Answer: A loss of 5%
Explanation:
S.P. = 90% of (3/4 of Rs. 400) + 110% of (1/4 of Rs. 400)
= Rs. (90/100 x 3/4 x 400) + Rs. (110/100 x 1/4 x 400)
= Rs. (270 + 110) = Rs. 380
? loss% = (20/400 x 100)% = 5%
- 8. Bhajan Singh purchased 120 reams of paper at Rs. 80 per reams. He spent Rs. 280 on transportation paid octroi at the rate of 40 paise per ream and paid Rs. 72 to the coolie. If he wants to have a gain of 8%. what must be the selling price per ream?
Options- A. Rs. 86
- B. Rs. 87.48
- C. Rs. 89
- D. Rs. 90 Discuss
Correct Answer: Rs. 90
Explanation:
? C.P. of 120 reams = Rs. (120 x 80 + 280 + 72 + 120 x 0.40)
= 9600 + 280 + 72 + 48 = Rs. 10000
? C.P. of 1 ream = 10000/120 = Rs. 250/3.
? S.P. of 1 ream = Rs. (108/100 x 250/3) = Rs. 90
- 9. A shopkeeper sells (3/4) th of its articles at a gain of 20% and the remaining at C.P. His real gain in the transaction is?
Options- A. 10%
- B. 15%
- C. 20%
- D. 25% Discuss
Correct Answer: 15%
Explanation:
Net gain = 20% on 3/4 of cost price = 20 x 3/4 % of cost price
= 15% of cost price.
- 10. A man gains 10% by selling an article for a certain price. If sells it at double the price, the profit made is?
Options- A. 20%
- B. 60%
- C. 100%
- D. 120% Discuss
Correct Answer: 120%
Explanation:
Let the cost price be 100 rupees.
So after 10% profile price would be Rs. 110.
Price when man sells this item at double price = Rs. 220.
Net profit = 220 - 100 = 120.
% Profit = 120 % ( Cost price is Rs. 100)
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.