Discount
 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 :

 ₹ 1100
 ₹ 900
 ₹ 1089
 ₹ 891

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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
 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

 ₹ 704
 ₹ 640
 ₹ 774
 ₹ 680

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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

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

 ₹ 200
 ₹ 175
 ₹ 120
 ₹ 140

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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 dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is ₹ 800, then the cost price of the article is :

 ₹ 900
 ₹ 800
 ₹ 700
 ₹ 600

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Here , marked price = ₹ 800
On discount of 10% ,S.P. of that article = 800 × 90 = ₹ 720 100
He still makes 20% profit∴ C.P. of the article = 720 × 100 = ₹ 600 120
Second method to solve this question :
Here, r = 20% , D = 10% , M.P. = ₹ 800 , C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: D
Here , marked price = ₹ 800
On discount of 10% ,S.P. of that article = 800 × 90 = ₹ 720 100
He still makes 20% profit∴ C.P. of the article = 720 × 100 = ₹ 600 120
Second method to solve this question :
Here, r = 20% , D = 10% , M.P. = ₹ 800 , C.P. = ?M.P. = 100 + r C.P. 100 − D 800 = 100 + 20 C.P. 100 − 10 C.P. = 800 × 90 120
C.P. = ₹ 600
 A shopkeeper marks his goods 50% more than the cost price and allows a discount of 25%. His profit or loss percentage is :

 37.5%
 25.5%
 12.5%
 25%

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Let C.P. of article be Rs. 100.
∴ Marked price = Rs. 150
discount = 25%S.P. of article = Rs. 150 × 75 = Rs. 112.5 100
∴ Profit = S.P. of article  C.P. of article = Rs. (112.5 – 100) = Rs. 12.5
Correct Option: C
Let C.P. of article be Rs. 100.
∴ Marked price = Rs. 150
discount = 25%S.P. of article = Rs. 150 × 75 = Rs. 112.5 100
∴ Profit = S.P. of article  C.P. of article = Rs. (112.5 – 100) = Rs. 12.5∴ Profit percent = Profit × 100 C.P. Profit percent = 12.5 × 100 = 12.5% 100