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- Question
A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?
Options- A. Rs. 620
- B. Rs. 654
- C. Rs. 725
- D. Rs. 747
- Correct Answer
- Rs. 620
ExplanationLet the C.P of one item is Rs. P
and that of other is Rs. (7500 - P)
According to the data given
C.P = S.P
=> Px(116/100) + (7500-P)x(86/100) = 7500
=> 30P = 105000
=> P = 3500
Required difference between selling prices
= Rs. [(3500/100) x 116] - [(4000/100) x 86]
= 4060-3440
= Rs. 620 - 1. A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?
Options- A. Rs. 12,500
- B. Rs. 11,250
- C. Rs. 12,750
- D. Rs. 11,680 Discuss
- 2. In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ?
Options- A. Rs. 34,410
- B. Rs. 31,184
- C. Rs. 29,999
- D. Rs. 32,292 Discuss
- 3. An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?
Options- A. Rs. 90
- B. Rs. 75
- C. Rs. 55
- D. Rs. 40 Discuss
- 4. If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent ?
Options- A. 18%
- B. 20%
- C. 22%
- D. 24% Discuss
- 5. 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
- 6. A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal ?
Options- A. 72 kgs
- B. 80 kgs
- C. 76 kgs
- D. 84 kgs Discuss
- 7. Selling price of a cellphone is increased by 20%. For this sale is decreased by 30%. Find the effect of total sales?
Options- A. 16%
- B. 14.5%
- C. 12%
- D. 10.5% Discuss
- 8. Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:
Options- A. 13%
- B. 8.5%
- C. 9.5%
- D. 11.25% Discuss
- 9. Raghu earns 25% on an investment but loses 10% on another investment. If the ratio of the two investment is 3:5. What is the gain or loss on two investments taken together ?
Options- A. 1.251 %
- B. 3.125 %
- C. 7.21 %
- D. 9.451 % Discuss
- 10. A man sold two flats for Rs. 4.15 lakhs each. On one he gained 2% and on the other he lost 2%. What percent is the effect of the sale on the whole ?
Options- A. 0.25 %
- B. 0.04 %
- C. 0.5 %
- D. 0 % Discuss
Profit and Loss problems
Search Results
Correct Answer: Rs. 11,250
Explanation:
Given that SP = Rs. 12000 - 10% = Rs. 10,800
Loss% = 4
We know that, C.P = 100/(100 - Loss%) x 100
=> 100/100-4 x 10800
=> 1080000/96
C.P = Rs. 11,250
Correct Answer: Rs. 32,292
Explanation:
Almond Selling price = CP(1 + P%/100)
=> CP = 20000, SP = 23000
=> 23000 = 20000 (1 + P/100)
=> P% = 100(23000/20000 - 1) = 15
Then, Olive's P% = 30%
SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900
Now Sarah wants to earn profit of 8%
=> Sp for Sarah = 29900(1 + 8/100)
= Rs. 32,292.
Correct Answer: Rs. 40
Explanation:
Let the cost price of the item = Rs. 50
Sold at 10% loss => for Rs. 50 loss S.P = Rs. 45
From the given data,
25/2 % gain if it is sold at Rs. 9 more
56.25 - 45 = 9
=> 11.25 = 9
=> 22.5 = 18
=> 45 = 36
=> 50 = ?
=>
Hence, the Cost price of the item = Rs. 40.
Correct Answer: 20%
Explanation:
Let the Cost of Production of the article = 100
Then, Labour Cost = 20
Raw Material = 10
Other Expenditure = 100 - 10 ? 20 = 70
Selling Price of the article = 120
After increasing Labour and Raw material cost by 40% & 20% respectively,
New Labour cost = 28
New Raw material cost = 12
New Cost of Production = 70 + 28 + 12 = 110
Then, New SP = 110% of 120 = 120 x 110/100 = 132
=> New Gain = 132 - 110 = 22
=> New Profit % = 22 x 100/110 = 20%
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.
Correct Answer: 80 kgs
Explanation:
Say total cost price of tea is x.
Then total profit at a rate of 15% is = (15x/100)
According to question,
15x/100 = 60
so x = 400
C.p of the tea is Rs. 400.
so total selling price will be = (400+60) = Rs.460
so the quantity of the tea will be = (460/5.75) = 80kg.
Correct Answer: 16%
Explanation:
Let cost of each cell phone = Rs.100 & Sale = 100 phones.
Money receipt = Rs.(100 x 100) = Rs.10,000
New cost per cellphone = Rs.120 and New sale = 70 phones
New Money Receipt = Rs.(70 x 120) = Rs.8400
Then the effect of sales = decrease in money receipt =
Correct Answer: 13%
Explanation:
The ratio of money she lended is
24000 : 16000 = 3 : 2
Let the rate of interest be R%
8% R%
10
3 : 2
R = 13%.
Correct Answer: 3.125 %
Explanation:
Taking the 2 investments to be 3x and 5x respectively
Total income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25
Therefore, Gain% = 0.25/8 x 100 = 3.125 %.
Correct Answer: 0.04 %
Explanation:
In this type cases we always have loss only.
Loss% = = = 1/25 = 0.04 %
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