Discount
 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

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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
 A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is ₹ 880, is

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Given Here , marked price = ₹ 880
SP of article = (100 – 20)% of 880 = 80% of 880
Let CP be y
Again, 110% of y = 704y = 704 × 100 = ₹ 640 110
∴ Original cost = ₹ 640
We can find required answer with the help of given formula :
Here, r = 10%, D = 20%, M.P. = ₹ 880, C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: B
Given Here , marked price = ₹ 880
SP of article = (100 – 20)% of 880 = 80% of 880
Let CP be y
Again, 110% of y = 704y = 704 × 100 = ₹ 640 110
∴ Original cost = ₹ 640
We can find required answer with the help of given formula :
Here, r = 10%, D = 20%, M.P. = ₹ 880, C.P. = ?M.P. = 100 + r C.P. 100 − D 880 = 100 + 10 C.P. 100 − 20 880 = 110 C.P. 80 C.P. = 880 × 80 110
C.P. = ₹ 640
 By giving a discount of 10% on the marked price of ₹ 1100 of a cycle, a dealer gains 10%. The cost price of the cycle is :

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Given that , discount = 10% and marked price of cycle = ₹ 1100
Selling Price = ₹ (1100 – 10% of 1100) = ₹ (1100 – 110) = 990
Let the cost price = y
According to question ,
∴ y + 10% of y = 990⇒ 11y = 990 10 ⇒ y = 990 × 10 = ₹ 900 11
Second method to solve this question :
Here, r = 10% , D = 10% , M.P. = ₹ 1100 , C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: B
Given that , discount = 10% and marked price of cycle = ₹ 1100
Selling Price = ₹ (1100 – 10% of 1100) = ₹ (1100 – 110) = 990
Let the cost price = y
According to question ,
∴ y + 10% of y = 990⇒ 11y = 990 10 ⇒ y = 990 × 10 = ₹ 900 11
Second method to solve this question :
Here, r = 10% , D = 10% , M.P. = ₹ 1100 , C.P. = ?M.P. = 100 + r C.P. 100 − D 1100 = 100 + 10 C.P. 100 − 10 C.P. = 1100 × 90 = ₹ 900 110

and a profit of 25% is made. The cost price of the article is :The marked price of an article is ₹ 200. A discount of 12 1 % is allowed on the marked price 2

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Given that , marked price of an article = ₹ 200
Discount = 12 1 % = 25 % 2 2
After discount , S.P. = ₹ 200 × 87.5 = ₹ 175
Gain % = 25%Required C.P. = ₹ 100 × 175 = ₹ 140 125
Using the given formula :
Here, r = 25% , D = 12.5% , M.P. = ₹ 200 , C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: D
Given that , marked price of an article = ₹ 200
Discount = 12 1 % = 25 % 2 2
After discount , S.P. = ₹ 200 × 87.5 = ₹ 175
Gain % = 25%Required C.P. = ₹ 100 × 175 = ₹ 140 125
Using the given formula :
Here, r = 25% , D = 12.5% , M.P. = ₹ 200 , C.P. = ?M.P. = 100 + r C.P. 100 − D 200 = 100 + 25 C.P. 100 − 12.5 C.P. = 200 × 87.5 125
C.P. = ₹ 140
 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 ?

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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