Discount
 A shopkeeper sells a badminton racket whose marked price is ₹ 30, at a discount of 15% and gives a shuttle cock costing ₹ 1.50 free with each racket. Even then he makes a profit of 20%. His cost price, per racket, is

 ₹ 21.00
 ₹ 21.25
 ₹ 20.00
 ₹ 19.75

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Given that , marked price = ₹ 30 , Discount = 15%
SP of racket = 85% of ₹ 30 = ₹ 25.50
One shuttle cock of ₹ 1.50 is free.
∴ Actual SP = ₹ (25.50 – 1.50) = ₹ 24
He still gains 20%Correct Option: C
Given that , marked price = ₹ 30 , Discount = 15%
SP of racket = 85% of ₹ 30 = ₹ 25.50
One shuttle cock of ₹ 1.50 is free.
∴ Actual SP = ₹ (25.50 – 1.50) = ₹ 24
He still gains 20%∴ CP = 100 ×24 = ₹ 20 120
 While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns ₹ 15 less as profit. What is the marked price of the watch?

 ₹ 1,250
 ₹ 1,400
 ₹ 1,500
 ₹ 750

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Let the marked price of watch be y.
According to question ,
( 100  5 )% of y  ( 100  6 )% of y = ₹ 15
⇒ 95% of y  94% of y = ₹ 15∴ y × 95  y × 94 = 15 100 100
Correct Option: C
Let the marked price of watch be y.
According to question ,
( 100  5 )% of y  ( 100  6 )% of y = ₹ 15
⇒ 95% of y  94% of y = ₹ 15∴ y × 95  y × 94 = 15 100 100
⇒ y = 15 × 100 = ₹ 1500
 The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is

 37.5%
 48%
 50.5%
 52%

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Given , discount = 12%
Let marked price of article = ₹ 100
∴ C.P. of article = ₹ 64
∴ S.P. of article = ₹ 88
Profit = S.P. of article  C.P. of article = 88  64 = ₹ 24∴ Profit percent = Profit ×100 C.P. of article
Correct Option: A
Given , discount = 12%
Let marked price of article = ₹ 100
∴ C.P. of article = ₹ 64
∴ S.P. of article = ₹ 88
Profit = S.P. of article  C.P. of article = 88  64 = ₹ 24∴ Profit percent = Profit ×100 C.P. of article Profit percent = 24 ×100 = 37.5% 64
 An article, which is marked ₹ 650, is sold for ₹ 572. The discount given is

 12%
 13%
 21%
 26%

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Given in question , marked price = ₹ 650, SP of article = ₹ 572
∴ Discount = marked price  SP of article = 650 – 572 = 78
If the discount be d% then650 × d = 78 100 ⇒ d = 78 × 100 = 12% 650
Second method to solve this question :
Here, M.P. = ₹ 650 , S.P. = ₹ 572
Using the given formula ,Discount % = M.P.− S.P. ×100 M.P.
Correct Option: A
Given in question , marked price = ₹ 650, SP of article = ₹ 572
∴ Discount = marked price  SP of article = 650 – 572 = 78
If the discount be d% then650 × d = 78 100 ⇒ d = 78 × 100 = 12% 650
Second method to solve this question :
Here, M.P. = ₹ 650 , S.P. = ₹ 572
Using the given formula ,Discount % = M.P.− S.P. ×100 M.P. Discount % = 650 − 572 ×100 650 Discount % = 7800 = 12% 650
 The selling price of an article is ₹ 1,920 and the discount given is 4%. The marked price of the article is

 ₹ 2,400
 ₹ 2,000
 ₹ 1,600
 ₹ ,200

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The selling price of an article = ₹ 1,920
If the marked price of the article be y, then
96% of y = 1920⇒ y × 96 = 1920 100 ⇒ y = 1920 × 100 = ₹ 2000 96
We can find the required answer with the help of given formula :
Here , S.P. = ₹ 1920 , D = 4% , M.P. = ?M.P. = S.P. × 100 100 − D
Correct Option: B
The selling price of an article = ₹ 1,920
If the marked price of the article be y, then
96% of y = 1920⇒ y × 96 = 1920 100 ⇒ y = 1920 × 100 = ₹ 2000 96
We can find the required answer with the help of given formula :
Here , S.P. = ₹ 1920 , D = 4% , M.P. = ?M.P. = S.P. × 100 100 − D M.P. = 1920 × 100 100 − 4 M.P. = 1920 × 100 = ₹ 2000 96