Discount
 Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?

 ₹ 16,000
 ₹ 12,000
 ₹ 10,000
 ₹ 8,000

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Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
If the marked price of T.V. be y, then,
According to question,
∴ ( 25  20 )% of y = ₹ 500
⇒ 5% of y = ₹ 500y × 5 = 500 100 ⇒ y = 500 × 100 = ₹ 10000 5
Correct Option: D
Here , discount = 20% , saved money = ₹ 500 , discount = 25% ,
If the marked price of T.V. be y, then,
According to question,
∴ ( 25  20 )% of y = ₹ 500
⇒ 5% of y = ₹ 500y × 5 = 500 100 ⇒ y = 500 × 100 = ₹ 10000 5 ∴ Initial S.P. of T.V. = 10000 × 80 = ₹ 8000 100
 A discount of 24% on the marked price of an article is allowed and then the article is sold for ₹ 342. The marked price of the article is

 ₹ 500
 ₹ 490
 ₹ 450
 ₹ 430

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Given Here , SP of article = ₹ 342 , discount = 24%
If the marked price of article be y, theny × 76 = 342 100 ⇒ y = 342 × 100 = ₹ 450 76
We can find the required answer with the help of given formula :
Here, D = 24%, S.P. = ₹ 342, M.P. = ?
Using the given formula ,M.P. = S.P. × 100 100 − D
Correct Option: C
Given Here , SP of article = ₹ 342 , discount = 24%
If the marked price of article be y, theny × 76 = 342 100 ⇒ y = 342 × 100 = ₹ 450 76
We can find the required answer with the help of given formula :
Here, D = 24%, S.P. = ₹ 342, M.P. = ?
Using the given formula ,M.P. = S.P. × 100 100 − D M.P. = 342 × 100 = 34200 = ₹ 450 100 − 24 76
 When a shopkeeper gives 10% discount on the list price of a toy, his gain is 20%. If he had given a discount of 20%, his percentage of gain would have been


6 2 % 3 
8 1 % 3  10%
 15%


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Given that , discount = 10% , gain = 20%
Let the cost price of toy be ₹ 100 and the marked price be y.∴ y × 90 = 120 100 ⇒ y = 120 × 100 = ₹ 400 90 3 S.P. after a discount of 20% = 80% of 400 3 S.P. after a discount of 20% = 400 × 80 = 320 = 106 2 300 3 3
Correct Option: A
Given that , discount = 10% , gain = 20%
Let the cost price of toy be ₹ 100 and the marked price be y.∴ y × 90 = 120 100 ⇒ y = 120 × 100 = ₹ 400 90 3 S.P. after a discount of 20% = 80% of 400 3 S.P. after a discount of 20% = 400 × 80 = 320 = 106 2 300 3 3 ∴ Profit = SP  CP = 106 2 − 100 = ₹ 6 2 3 3 ∴ Profit percent = ( 320 / 3 ) × 100 = 106 2 % 100 3
 A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is ₹ 629 is :

 ₹ 740
 ₹ 704
 ₹ 700
 ₹ 614

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Here , selling price = ₹ 629 , 15% discount
Let the marked price be y.∴ y × 85 = 629 100 ⇒ y = 629 × 100 = ₹ 740 85
Second method to solve this question :
M.P. = ? , S.P. = ₹ 629, D = 15%
Using the given formula ,M.P. = S.P. × 100 100 − D
Correct Option: A
Here , selling price = ₹ 629 , 15% discount
Let the marked price be y.∴ y × 85 = 629 100 ⇒ y = 629 × 100 = ₹ 740 85
Second method to solve this question :
M.P. = ? , S.P. = ₹ 629, D = 15%
Using the given formula ,M.P. = S.P. × 100 100 − D M.P. = 629 × 100 100 − 15 M.P. = 62900 = ₹ 740 85
 A shopkeeper allows 4% discount on his marked price. If the cost price of an article is ₹ 100 and he has to make a profit of 20%, then his marked price must be

 ₹ 96
 ₹ 120
 ₹ 125
 ₹ 130

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Here , discount = 4% , profit = 20%
cost price of an article = ₹ 100
Let the marked price of the article be y
According to the question,
96% of y = 120% of 100⇒ y × 96 = 100 × 120 100 100 ⇒ y = 100 × 120 = ₹ 125 100
We can find the required answer with the help of given formula :
Here, r = 20%, D = 4%, C.P. = ₹ 100, M.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: C
Here , discount = 4% , profit = 20%
cost price of an article = ₹ 100
Let the marked price of the article be y
According to the question,
96% of y = 120% of 100⇒ y × 96 = 100 × 120 100 100 ⇒ y = 100 × 120 = ₹ 125 100
We can find the required answer with the help of given formula :
Here, r = 20%, D = 4%, C.P. = ₹ 100, M.P. = ?M.P. = 100 + r C.P. 100 − D M.P. = 100 + 20 100 100 − 4 M.P. = 120 × 100 96 M.P. = 1000 = ₹ 125 8