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- Question
- A retailer increase the selling price by 25% due to which his profit percentage increases from 20% to 25%. What is the percentage increase in cost price?
Options- A. 20%
- B. 30%
- C. 25%
- D. 50%
- Correct Answer
- 20%
ExplanationIn beginning
Cost Price (CP) = Rs. 100
Profit % = 20
Selling Price (SP) = 120
When profit increases from 20% to 25%
Cost Price (CP) = y
Profit % = 25
Selling Price (SP) after 25% increase = 120 + 25% = Rs. 150
From question
y + 25 % profit = 150
1.25 y = 150
so y = 120
% change in cost price = [ (120 - 100) / 100 ] x 100 = 20% - 1. A tradesman marks his goods 30% more than the cost price. If he
allows a discount of 6 1/ 4 % then his gain per cent is?
Options- A. 233/4%
- B. 22%
- C. 217/8%
- D. None of these Discuss
- 2. A fruit seller buys 700 oranges at the rate of ? 500 for 100 oranges and another variety of 500 oranges at the rate of ? 700 for 100 oranges and sells them at ? 84 per dozen. The profit percent is
Options- A. 20%
- B. 40%
- C. 30%
- D. 10% Discuss
- 3. A man sells rice at 10%profit and uses weight 30% less then the actual measure. His gain percent is?
Options- A. 572/8%
- B. 571/7%
- C. 572/5%
- D. 573/7% Discuss
- 4. A Seller uses 920g in place of one kg to sell his goods. When he sells his article at 15% gain on cost price, the actual percentage of profit is?
Options- A. 20%
- B. 15%
- C. 25%
- D. 30% Discuss
- 5. A dishonest dealer sells articles at 10% loss on cost price but uses the weight of 16g instead of 18g. What is his profit or loss per cent?
Options- A. 11/4% gain
- B. 11/4% loss
- C. 31/4% loss
- D. 51/4% gain Discuss
- 6. The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of Rs. 500.What is the new profit percentage if instead of two successive discount the markup price was further increased successively two times by the same percentage?
Options- A. 259.2%
- B. 59.2%
- C. 159.2%
- D. can't be determined Discuss
- 7. I wanted to purchase 10 chairs for the class room whose cost was Rs. 200 each. the trader offered me a discount if I were to purchase a set of 12 chairs. So I calculated that if I assume the normal price of 10 chairs then we can purchase 2 extra chairs which cost me only Rs. 80 each of two chairs at the cost price of 12 chairs after discount. What is the percentage discount?
Options- A. 6%
- B. 8%
- C. 12%
- D. 10% Discuss
- 8. The cost of servicing of a Maruti car at Maruti care Pvt. Ltd. is Rs. 400. Manager of service center told me that for the second service within a year a customer can avail a 10% discount and further for third and forth servicing he can avail 10% discount of the previous amount paid, within a year Further if a customer gets more than 4 services within a year he has to pay just 60% of the servicing charges on these services. A customer availed 5 services from the same servicing station, What is the total percentage discount fetched by the customer?
Options- A. 19.42%
- B. 18.5%
- C. 17.6%
- D. 26% Discuss
- 9. Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount on 10 oranges is equal to the profit on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?
Options- A. 20
- B. 22.22
- C. 16.66
- D. 15 Discuss
- 10. 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 Discuss
Profit and Loss problems
Search Results
Correct Answer: 217/8%
Explanation:
Let the C.P. be Rs. 100
Then, Marked price = Rs. 130
? S.P. = (933/4 % of Rs. 130)
= Rs. (375/4 x 100 x 130)
= Rs. 975/8
= Rs. 1217/8
? Required gain% = 217/8 %
Correct Answer: 20%
Explanation:
CP of 700 oranges = (500/100) x 700 = ? 3500
Total CP = 3500 + 3500 = 7000
And total number of oranges purchased = 700 + 500 = 1200
Total SP = (84/12 )x 1200 = ? 8400
? Profit percent = [(8400 - 7000)/7000]x100% = 20%
Correct Answer: 571/7%
Explanation:
Let the marked weight = 1 kg = 1000g
Real weight = 70% of 1000 = 700g
Let CP of 1g = ? 1
? CP of 700g = ? 700
CP of 1000g = ? 1000
SP = 110% of 1000
= 110/100 x 1000 = ? 1100
Gain = 1100 - 700 = ? 400
? Gain % = (400/700) x 100%
= 571/7%
Correct Answer: 25%
Explanation:
Let cost price = ? 1000
? Actual cost price = ? 920
Selling price = (1000 x 115)/100 = ?1150
? Actual profit percentage = (1150 - 920)/(920 x 100) = 25%
Correct Answer: 11/4% gain
Explanation:
Given that a = 10% , b = 16g and c = 18g
= [(100 - a)c /b - 100)]%
= [(100 - 10) x 18/16 - 100]%
= [90 x 18/16 - 100]%
= [90 x 9/8 - 100]%
= 810/8 - 100 %
= (810 - 800) / 8 %
= 10/8 % = 5/4 %
=11/4% gain
Correct Answer: 159.2%
Explanation:
Cost price (CP) = 500
Selling Price (SP) = 576
Markup price (MP) = 900
Again SP = MP [( 1 - r/100)2] [r - rate of discount in %]
? 576 = 900 (1 - r/100)2
? 24/30 = (1 - r/100)
? r = 20%
Again, new SP = MP (1 + r/100)2
= 900 (1 + 20/100)2
= 1296
New, profit percentage = [(SP - CP)/CP] X 100
= [( 1296 - 500 ) / 500 ] x 100 = 159.2%
Correct Answer: 10%
Explanation:
Price of 10 chairs = 10 x 200 = 2000
Price of 12 chairs (without discount)= 12 x 200 = 2400
Price of 12 chairs (with discount) = 10 x 200 + 2 x 80 = 2160
Therefore discount = 2400 - 2160 = 240
Hence discount % = (240 / 2400) x 100 = 10%
Correct Answer: 19.42%
Explanation:
Amount paid in 1st service = 100 (suppose)
Amount paid in 2nd service = 90
Amount paid in 3rd service = 81
Amount paid in 4th service = 72.9
Amount paid in 5th service = 60
Total amount paid = 403.9
Discount = 500 - 403.9 = 96.1
Discount % = 96.1 / 500 X 100 = 19.42%
Correct Answer: 22.22
Explanation:
Ratio of selling price and Cost Price,
SP:CP = 12:9 =4:3
Profit of 3 oranges = Re 1 (Let CP = Re 1)
Profit = 1/3 = 33.33%
and, Discount = 11.11%
Since, CP : SP : MP = 3:4:4.5
Profit doubles that of discount.
So, % point discount = 33.33%-11.11% = 22.22% point.
Correct Answer: 1.1 lakh
Explanation:
Total cost of 4 cars = 1 + 2 = 3 lakh
Total SP of 4 cars = 3 x 1.5 = 4.5 lakh
SP of first cars = 1.2 lakh
SP of rest 3 cars = 4.5 - 1.2 = 3.3 lakh
Average SP of all the 3 cars = 1.1 lakh
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