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- Question
- A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for Rs. 4 less, he would have gained 25%. The C.P. of the article is?
Options- A. Rs. 140
- B. Rs. 150
- C. Rs. 160
- D. Rs. 180
- Correct Answer
- Rs. 160
Explanation? (115% of C.P.) - (125% of 90% of C.P.) = 4
? [115/100 - (125 x 90) / (100 x 100)] x CP = 4
? C.P. = Rs. 160 - 1. A radio dealer sold radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained 7 1/ 2 %. In order to gain 12 1/ 2 % he should sell it for?
Options- A. Rs. 850
- B. Rs. 925
- C. Rs. 1080
- D. Rs. 1125 Discuss
- 2. A bicycle is sold at a gain of 16%. If it had been sold for Rs. 20 more, 20% would have been gained. The C.P. of the bicycle is?
Options- A. Rs. 350
- B. Rs. 400
- C. Rs. 500
- D. Rs. 600 Discuss
- 3. A grocer sells rice at a profit of 10% and uses weight which are 20% less than the market weight. The total gain earned by him will be?
Options- A. 30%
- B. 35%
- C. 37.5%
- D. None of these Discuss
- 4. A man sells two horses for Rs, 4000 each, neither losing nor gaining in the deal. If he sold one horse at a gain of 25% the other horse is sold at a loss of?
Options- A. 162/3%
- B. 182/9%
- C. 25%
- D. None of these Discuss
- 5. Due to an increase of 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. The present rate of eggs per dozen is?
Options- A. Rs. 8.64
- B. Rs. 8.88
- C. Rs. 9.36
- D. None of these Discuss
- 6. 6% more is gained by selling a radio for Rs. 475 than by selling for Rs. 451. The C.P. of the radio is?
Options- A. Rs. 400
- B. Rs. 434
- C. Rs. 440.50
- D. None of these Discuss
- 7. At what price must Kantilal sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?
Options- A. Rs. 7.50 per kg
- B. Rs. 8.20 per kg
- C. Rs. 8.85 per kg
- D. Rs. 8.76 per kg Discuss
- 8. The percent profit when an article is sold for Rs. 78 is twice as when it is sold for Rs. 69. The C.P. of the article is?
Options- A. Rs. 49
- B. Rs. 51
- C. Rs. 57
- D. Rs. 60 Discuss
- 9. A trader by means of a false balance defrauder to the extent of 8% in buying goods and also defrauds to 8% in selling. His gain percent is?
Options- A. 15.48%
- B. 16%
- C. 16.64%
- D. None of these Discuss
- 10. Kabir buys an article with 25% discount on its marked price. He makes a profit of 10% by selling it at Rs. 660. The marked price is?
Options- A. Rs. 600
- B. Rs. 700
- C. Rs. 800
- D. Rs. 685 Discuss
Profit and Loss problems
Search Results
Correct Answer: Rs. 1125
Explanation:
It is clear that (2.5% of C.P. + 7.5% of C.P.) = 100
? C.P. = Rs. 1000
Now, gain = 121/2
So, Required S.P. = 1121/2% of C.P.
= Rs. (225 / 200) x 1000
= Rs. 1125
Correct Answer: Rs. 500
Explanation:
? (20% of C.P.) - (16% of C.P.) = Rs. 20
? 4% of C.P. = 20
? (4/100 x C.P.) = 20
? C.P. = Rs. (100 x 20/4)
? C.P. of the bicycle = Rs. 500
Correct Answer: 37.5%
Explanation:
Let us consider a packet of rice marked 1 kg
Then its actual weight = (80% of 1 kg) = 0.8 kg
Let C.P. of 1 kg be Rs. 100
Then C.P. of 0.8 kg = Rs. 0.8 x 100 = Rs. 80
Now, S.P of 1 kg = 110% of C.P.of 1 kg = Rs. 110
? Gain = (1.1 - 0.8) x 100 = 0.3 x 100 = 130
? Required gain% = [0.3/ (0.8 x 130)] x 100)%
= 37. 5%
Correct Answer: 162/3%
Explanation:
C.P. of two horses = Rs. 8000
S.P. of one horse = Rs. 4000
Gain = 25%
? C.P. of this horse = Rs (100/125) x 4000 = Rs.3200
C.P. of another horse = Rs. (8000 - 3200) = Rs. 4800
S.P. of this horse = Rs. 4000
? Loss% = (800/4800) x 100 % = 162/3%
Correct Answer: Rs. 9.36
Explanation:
Let the original rate be 'P' paise per egg.
Number of eggs bought for Rs. 7.80 = 780/P
New rate = (130% of P) paise per egg = 13P/10 paise per egg
Number of eggs bought for Rs. 7.80 = 780 x 10/13P = 600/P
? 780/P - 600/P = 3
? 3P = 180
? P = 60
So, present rate = (13 x 60)/10 paise per egg = 78 paise per egg
= Rs. 9.36 per dozen
Correct Answer: Rs. 400
Explanation:
Difference between two selling prices = 475 - 451 = Rs. 24
? 6% of C.P. = Rs. 24
Hence, C.P. = Rs. (24 x 100 / 6) = Rs. 400
Correct Answer: Rs. 8.76 per kg
Explanation:
Total C.P.of 200 kg of sugar = Rs. (80 x 6.75 + 120 x 8)
= Rs. (500 + 960)
= Rs. 1460
C.P. of 1 kg = Rs. 1460 / 200 = Rs. 7.30
Gain required = 20%
? S.P. of 1 kg = (120% of Rs. 7.30)
= Rs. (120/100) x 7.30
= Rs. 8.76 per kg
Correct Answer: Rs. 60
Explanation:
Let the C.P. be Rs. x
Then 2(69 - x) / 100 = (78 - x) / 100
? 138 - 2x = 78 - x
? x = 60
? C.P. = Rs. 60
Correct Answer: 16.64%
Explanation:
In such question we adopt the Required gain %
= [(100 + common gain%)2 / 100 - 100] %
= { (108)2/100 - 100 } % = 16.64%
Correct Answer: Rs. 800
Explanation:
Let the marked price be Rs. N
? C.P. = (N - 25% of N) = 3N / 4
? S.P. = (3N / 4 + 10% of 3N / 4) = 33N / 40
But, 33N / 40 = 660
? N = 800
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