Discount
 A shopkeeper offers 10% discount on the marked price of his articles and still makes a profit of 20%. What is the actual cost of the article marked ₹ 500 for him ?

 ₹ 440
 ₹ 425
 ₹ 400
 ₹ 375

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Given that , marked price = ₹ 500
Discount = 10% and profit = 20%
Let the cost price of article be p.∴ 500 × 90 = 120 × p 100 100 ⇒ 450 = 6p 5 ⇒ p = 450 × 5 = ₹ 375 6
Second method :
C.P. = ? , M.P. = ₹ 500, r = 20%, D = 10%
Using the given formula ,M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , marked price = ₹ 500
Discount = 10% and profit = 20%
Let the cost price of article be p.∴ 500 × 90 = 120 × p 100 100 ⇒ 450 = 6p 5 ⇒ p = 450 × 5 = ₹ 375 6
Second method :
C.P. = ? , M.P. = ₹ 500, r = 20%, D = 10%
Using the given formula ,M.P. = 100 + r C.P. 100 − D 500 = 100 + 20 C.P. 100 − 10 C.P. = 500 × 90 = ₹ 375 120
 The cost of manufacturing an article was ₹ 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

 ₹ 1500
 ₹ 1250
 ₹ 1200
 ₹ 1000

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Here , CP of article = ₹ 900 , discount = 10%
∴ After 25% gain , S.P. of article = 125% of 900S.P. of article = 900 × 125 = ₹ 1125 100
Let the marked price be y
Correct Option: B
Here , CP of article = ₹ 900 , discount = 10%
∴ After 25% gain , S.P. of article = 125% of 900S.P. of article = 900 × 125 = ₹ 1125 100
Let the marked price be y
∴ 90% of y = 1125⇒ y = 1125 × 100 = ₹ 1250 90
 A shopkeeper buys an article for ₹ 180. He wishes to gain 20% after allowing a discount of 10% on the marked price to the customer. The marked price will be

 ₹ 210
 ₹ 240
 ₹ 270
 ₹ 300

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Given in question , CP of article = ₹ 180
After 20% gain , SP = 180 × 120 = ₹ 216 100
discount = 10%
∴ ( 100  10 )% = 216
⇒ 90% = 216
Correct Option: B
Given in question , CP of article = ₹ 180
After 20% gain , SP = 180 × 120 = ₹ 216 100
discount = 10%
∴ ( 100  10 )% = 216
⇒ 90% = 216100% = 216 × 100 = ₹ 240 90
Hence , The marked price is ₹ 240 .
 A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what per cent higher than the cost price must he marks his goods ?

 30%

33 1 % 3 
34 2 % 3  35%

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Let the CP be ₹ 100. Then SP on 20% gain = ₹ 120
Let the marked price be y.
Then, ( 100  10 )% of y = ₹ 120
⇒ 90% of y = ₹ 120⇒ y = 120 × 100 = 400 90 3
Correct Option: B
Let the CP be ₹ 100. Then SP on 20% gain = ₹ 120
Let the marked price be y.
Then, ( 100  10 )% of y = ₹ 120
⇒ 90% of y = ₹ 120⇒ y = 120 × 100 = 400 90 3 y = 133 1 3 It is 33 1 % higher than the CP. 3
 The marked price of an electric iron is ₹ 690. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent would be

 20%
 24%
 25%
 28%

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Given in question , Marked price = ₹ 690
∴ Discount = 10%SP = 690 × 90 = ₹ 621 100
Profit = 8%∴ CP = 621 × 100 = ₹ 575 108
Profit without discount = 690 – 575 = ₹ 115Profit percent = 115 × 100 = 20% 575
Using the given formula , we can find required answer :
Here, r = 10%, R = 20%Required percentage = (r + R) × 100% 100 − r Required percentage = 10 + 20 × 100% 100 − 10 Required percentage = 30 × 100% 90 Required percentage = 33 1 % 3
Gain = S.P.  C.P. = 480 − 400 = ₹ 80Gain % = Gain × 100 (without discount) C.P. = 80 × 100 = 20% 400
We can find required answer with the help of given formula :
Here, M.P. = ₹ 690 , D = 10% , r = 8%M.P. = 100 + r C.P. 100 − D
Correct Option: A
Given in question , Marked price = ₹ 690
∴ Discount = 10%SP = 690 × 90 = ₹ 621 100
Profit = 8%∴ CP = 621 × 100 = ₹ 575 108
Profit without discount = 690 – 575 = ₹ 115Profit percent = 115 × 100 = 20% 575
Using the given formula , we can find required answer :
Here, r = 10%, R = 20%Required percentage = (r + R) × 100% 100 − r Required percentage = 10 + 20 × 100% 100 − 10 Required percentage = 30 × 100% 90 Required percentage = 33 1 % 3
Gain = S.P.  C.P. = 480 − 400 = ₹ 80Gain % = Gain × 100 (without discount) C.P. = 80 × 100 = 20% 400
We can find required answer with the help of given formula :
Here, M.P. = ₹ 690 , D = 10% , r = 8%M.P. = 100 + r C.P. 100 − D 690 = 100 + 8 C.P. 100 − 10 690 = 108 C.P. 90 C.P. = 690 × 90 = ₹ 575 108 Gain % (without discount) = 690 × 575 × 100% 575 Gain % = 115 × 100% = 20% 575