Discount
- A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
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Let the CP be 100.
After profit of 12% ,
∴ SP = 112
discount = 10%
If the marked price be y, then
90 % of y = 112⇒ y = 112 × 100 = ₹ 1120 90 9 ∴ Required ratio = 100 : 1120 9
Required ratio = 900 : 1120 = 45 : 56
Second method :
Here, r = 12%, D = 10%M.P. = 100 + r C.P. 100 − D
Correct Option: A
Let the CP be 100.
After profit of 12% ,
∴ SP = 112
discount = 10%
If the marked price be y, then
90 % of y = 112⇒ y = 112 × 100 = ₹ 1120 90 9 ∴ Required ratio = 100 : 1120 9
Required ratio = 900 : 1120 = 45 : 56
Second method :
Here, r = 12%, D = 10%M.P. = 100 + r C.P. 100 − D M.P. = 100 + 12 C.P. 100 − 10 M.P. = 112 C.P. 90 C.P. = 90 M.P. 112 C.P. = 45 M.P. 56
C.P. : M.P. = 45 : 56
- The marked price of a radio is ₹ 480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be
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Given that , The marked price of a radio = ₹ 480
If the CP of radio be y, then108 of y = 480 × 90 100 100 ⇒ y × 108 = 432 100 ⇒ y = 432 × 100 = ₹ 400 108 Gain percent (if no discount is allowed) = 80 × 100 = 20% 400
Second method :
Here, r = 8%, D = 10%, M.P. = ₹ 480
With the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , The marked price of a radio = ₹ 480
If the CP of radio be y, then108 of y = 480 × 90 100 100 ⇒ y × 108 = 432 100 ⇒ y = 432 × 100 = ₹ 400 108 Gain percent (if no discount is allowed) = 80 × 100 = 20% 400
Second method :
Here, r = 8%, D = 10%, M.P. = ₹ 480
With the help of given formula ,M.P. = 100 + r C.P. 100 − D 480 = 100 + 8 C.P. 100 − 10 C.P. = 480 × 90 = ₹ 400 108 Gain % (without discount) = S.P. − C.P. × 100 C.P. Gain % = 480 − 400 × 100 400 Gain % = 80 × 100 = 20% 400
- Marked price of an article is ₹ 275. Shopkeeper allows a discount of 5% and he gets a profit of 4.5%. The actual cost of the article is
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Given Here , Marked price of an article = ₹ 275
profit = 4.5% , discount = 5%
Let C.P. of article be y∴ y × 104.5 = 275 × 95 100 100
⇒ y × 104.5 = 275 × 95⇒ y = 275 × 95 = ₹ 250 104.5
Second method :
Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: A
Given Here , Marked price of an article = ₹ 275
profit = 4.5% , discount = 5%
Let C.P. of article be y∴ y × 104.5 = 275 × 95 100 100
⇒ y × 104.5 = 275 × 95⇒ y = 275 × 95 = ₹ 250 104.5
Second method :
Here , M.P. = ₹ 275, D = 5%, r = 4.5%, C.P. = ?
Using the given formula ,M.P. = 100 + r C.P. 100 − D 275 = 100 + 4.5 C.P. 100 − 5 C.P. = 275 × 95 = ₹ 250 104.5
- The price that Akbar should mark on a pair of shoes which costs him ₹ 1,200 to gain 12% after allowing a discount of 16% (in rupees) is
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Given that , Cost price of pair of shoes = ₹ 1,200 , Gain = 12%
Let the marked price be y.∴ y × 84 = 1200 × 112 100 100 = y × 80 = 112 × 12 400 ⇒ y = 112 × 1200 = ₹ 1600 84
Second method :
Given Here , C.P. = ₹ 1200, r = 12%, D = 16%M.P. = 100 + r C.P. 100 − D
Correct Option: C
Given that , Cost price of pair of shoes = ₹ 1,200 , Gain = 12%
Let the marked price be y.∴ y × 84 = 1200 × 112 100 100 = y × 80 = 112 × 12 400 ⇒ y = 112 × 1200 = ₹ 1600 84
Second method :
Given Here , C.P. = ₹ 1200, r = 12%, D = 16%M.P. = 100 + r C.P. 100 − D M.P. = 100 + 12 1200 100 − 16 M.P. = 112 × 1200 = ₹ 1600 84
- In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of
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Given in question , discount = 10%
Let the marked price be ₹ 100.
∴ S.P. = 90% of 100 = ₹ 90
Profit = 17%C.P.= ₹ 90 × 100 117 C.P. = ₹ 1000 13
If no discount is allowed, S.P. = ₹ 100Profit = ₹ 
100 − 1000 
= ₹ 300 13 13 ∴ Profit % = ( 300 / 13 ) × 100 = 30% ( 1000 / 13 )
Second method :
Here, D = 10%, r = 17%,
Let the M.P. = ₹ 100
With the help of given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: A
Given in question , discount = 10%
Let the marked price be ₹ 100.
∴ S.P. = 90% of 100 = ₹ 90
Profit = 17%C.P.= ₹ 90 × 100 117 C.P. = ₹ 1000 13
If no discount is allowed, S.P. = ₹ 100Profit = ₹ 100 − 1000 = ₹ 300 13 13 ∴ Profit % = ( 300 / 13 ) × 100 = 30% ( 1000 / 13 )
Second method :
Here, D = 10%, r = 17%,
Let the M.P. = ₹ 100
With the help of given formula ,M.P. = 100 + r C.P. 100 − D 100 = 100 + 17 C.P. 100 − 10 100 = 117 C.P. 90 C.P. = 100 × 90 = 1000 117 13
Profit = S.P. – C.P.Profit = 100 − 1000 13 Profit = Rs. 300 13 Profit % = ( 300 / 13 ) × 100 = 30% ( 1000 / 13 )
