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- Question
- If the price of an item is increased by 30 % and then allows two successive discounts of 10 % and 10 % . In last the price of an item is?
Options- A. Increased by 10%
- B. Increased by 5.3%
- C. decreased by 3%
- D. decreased by 5.3%
- Correct Answer
- Increased by 5.3%
ExplanationLet the cost price of item = ? N
? Marked price of item = N x (100 + 30)/100 = ? 13N/10
Selling price of the item after two successive discount = (13N/10) x[ (100 - 10)/100 x (100 - 10)/100]
= (13N/10) x (90/100) x (90/100) = ? 1053N/1000
Increment in the price of item = [{(1053N/1000) - N} / N] x 100 %
= 53/10 %
= 5.3 % - 1. A shopkeeper sells not books at the rate of ? 457 each and earns a commission of 4% He also sells pencil boxes at the rate of ? 80 each and earns a commission of 20%. How much amount of commission will he he earn in two weeks, if he sells 10 notebooks and 6 pencil boxes a boy?
Options- A. ? 1956
- B. ? 1586
- C. ?1496
- D. ? 1596 Discuss
- 2. The market price of a clock is ? 3200 . It is to be sold at ? 2448 at two successive discounts . If the first discount is 10 %, then the second discount is
Options- A. 5 %
- B. 10 %
- C. 15 %
- D. 20 % Discuss
- 3. A retailer offers the following discount schemes for buyers on an article .
i. Two successive discounts of 10 % .
ii. A discount of 12 % followed by a discount of 8 %.
iii. Successive discount of 15 % and 5 % .
iv. A discount of 20 % .
The selling price will be minimum under the scheme
Options- A. i
- B. ii
- C. iii
- D. iv Discuss
- 4. A dozen pair of socks quoted ? 80 are available at a discount of 10%. How many pair of socks can be bough for ? 24?
Options- A. 4
- B. 5
- C. 3
- D. 6 Discuss
- 5. A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs ? 450, is
Options- A. ? 600
- B. ? 540
- C. ? 660
- D. ? 580 Discuss
- 6. The difference between a discount of 30% on ? 2000 and two successive discounts of 25% and 5% on the same amount is
Options- A. ? 30
- B. ? 35
- C. ? 25
- D. ? 40 Discuss
- 7. A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains ? 56 on one item, his advertised price of the item (in ?) is
Options- A. 820
- B. 780
- C. 790
- D. 800 Discuss
- 8. A shopkeeper allows a discount of 4% on his article. If cost price of the article is ? 100 and he wants to get a profit of 20%. Then, its marked price will be
Options- A. ? 96
- B. ? 120
- C. ? 125
- D. ? 130 Discuss
- 9. A merchant purchases a wrist watch for ? 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then, the list price of the watch is
Options- A. ? 600
- B. ? 650
- C. ? 700
- D. ? 550 Discuss
- 10. In order that there may be a profit of 20% after allowing a discount of 10% on the marked price, the cost price of an article has to be increased by
Options- A. 30%
- B. 33%
- C. 331/3%
- D. 332/3% Discuss
Discount problems
Search Results
Correct Answer:
Explanation:
? S.P of the notebook = ?457
? Commission on one notebook = ? (4 x 457)/100
and commission on 10 notebooks = 10 x (4 x 457)/100 = ? 18280
Now,S.P of the pencil box = ? 80
? Commission on 1 pencil box = ? (80 x 20)/100
Commission on 6 pencil boxes = (80 x 20 x 6)/100 = ? 96
Hence ,total commission of 1 day = (182.80 + 96 ) = ? 278.80
Thus, total commission of 2 weeks = 278.80 x 14 = ? 3903.20
Correct Answer: 15 %
Explanation:
Let rate of second discount = r %
MP = ? 3200 , SP = ? 2448 ,
r1 = 10 % and r2 = r %
? y = MP x (100 - r1/100) (100 - r2/100)
? 2448 = [3200 x (100 - 10) x (100 - r)] / (100 x 100)
? (2448 x 100 x 100) / (3200 x 90) = 100 - r
? r = 100 - 85 = 15 %
Correct Answer: iv
Explanation:
i. Equivalent single discount to 10 % and 10 % = 10 + 10 - (10 x 10)/100 % = 19 %
ii. Equivalent single discount to 12 % and 8 % = 12 + 8 - (12 x 8)/100 = 20 - 0.96 = 19.04 %
iii. Equivalent single discount to 15 % and 5 % = 15 + 5 - (15 x 5)/100 = 20 - 0.75 = 19.25 %
iv. Equivalent single discount to 20 % = 20 % So, the selling price will be minimum under the scheme iv as in this scheme, the discount is maximum .
Correct Answer: 4
Explanation:
? MP of one dozen of pairs of socks = ? 80
? SP of one dozen of pairs of socks
=80 x (100 - 10)/100 = 80 x 90/100= ? 72
Hence, required number of pairs of socks
purchased for ? 24 = (12 x 24)/72 = 4
Correct Answer: ? 600
Explanation:
Here, r = 10% and R = 20%
? Required per cent = (r + R)/(100 - r) x 100 %
= [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %
This shows that the marked price of the item is 100/3 % more
than its cost price.
? Marked price of the article = (450 x 400)/300
= ? 600
Correct Answer: ? 25
Explanation:
Single equivalent discount per cent to 25% and 5%
= r1 + r2 - (r1 . r2)/100 %
= 25 + 5 - (25 x 5)/100
= 30 - 1.25
= 28.78 %
? Required difference = [(30 - 28.75) x 2000]/100
= 1.25 x 2000/100 = ? 25
Correct Answer: 800
Explanation:
Advertised price of the item = ? N
? Commission on advertised price of the article = ? (N x 23)/100
Price after commission = N - (23N/100) = ? 77N/100
? CP of the item = [(77N/100) x 100]/(100 + 10) = 77N/110 = ? 7N/10
Profit = 77N/100 - 7N/10 = ? 7N/100
? 56 = 7N/100
? N = (56 x 100)/7 = ? 800
Correct Answer: ? 125
Explanation:
? Cost price of article = ? 100
? Selling price of the article for 20% profit
= 100 x (100 + 20)/100 = ? 120
Hence, marked price of the article for 4% discount
= 120 x 100/(100 - 4)
= 120 x 100/96
= ? 125
Correct Answer: ? 600
Explanation:
CP of watch = ? 450
SP of watch = 450 x [(100 + 20)/100] = ? 540
? List price of watch = (540 x 100) / (100 - 10) = ? 600
Correct Answer: 331/3%
Explanation:
Let MP = ? N
? SP = N x (100 - 10)/100 = ? 9N/10
? CP = (9N/10) x [100/(100 + 20)] = ? 3N/4
Thus, CP has to be increased by = [(N - 3N/4) / (3N/4)] x 100%
= [(N/4) / (3N/4)] x 100 %
= 331/3 %
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