Discount
 A person purchased a saree for ₹ 7710 after availing a net discount of ₹ 1285. The percentage of discount, the saree shop offers, is


14 1 % 7 
14 2 % 7 
14 3 % 7 
14 4 % 7


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Here , CP of saree = ₹ 7710 , Discount on saree = ₹ 1285
∴ Marked price = ₹ (7710 + 1285) = ₹ 8995
If discount = y %, then
According to question ,
y % of 8995 = 1285⇒ 8995 × y = 1285 100
Correct Option: B
Here , CP of saree = ₹ 7710 , Discount on saree = ₹ 1285
∴ Marked price = ₹ (7710 + 1285) = ₹ 8995
If discount = y %, then
According to question ,
y % of 8995 = 1285⇒ 8995 × y = 1285 100 ⇒ y = 1285 × 100 = 100 = 14 2 % 8995 7 7
 A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then the cost price is


1 th of marked price 9 
4 th of marked price 9 
5 th of marked price 9 
7 th of marked price 9


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Suppose Marked price = ₹ p and cost price = ₹ q.
According to question ,
∴ 50% of p = 90% of q⇒ p × 50 = q × 90 100 100 ⇒ q = p × 50 = ₹ 5 p 90 9
Correct Option: C
Suppose Marked price = ₹ p and cost price = ₹ q.
According to question ,
∴ 50% of p = 90% of q⇒ p × 50 = q × 90 100 100 ⇒ q = p × 50 = ₹ 5 p 90 9 q = 5 th of marked price. 9
 A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price ?

 15%
 65%
 25%
 20%

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Let Original marked price of goods = ₹ 100
20% discount ,C.P. = 100 × 80 = ₹ 80 100
Case II
If the marked price be y, then
Correct Option: C
Let Original marked price of goods = ₹ 100
20% discount ,C.P. = 100 × 80 = ₹ 80 100
Case II
If the marked price be y, theny × 80 = 80 × 125 100 100 ⇒ y = 80 × 125 = ₹ 125 100
Required Percent = 125 – 100 = 25 %

A shopkeeper sold an item for ₹ 1,510 after giving a discount of 24 1 % 2
and thereby incurred loss of 10%. Had he sold the item without discount, his net profit would have been

 ₹ 641

₹ 322 1 9 
₹ 422 2 9 
₹ 322 2 9

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Given that , SP of item = ₹ 1,510
Marked price of the article = ₹ yDiscount = 24 1 % = 49 % 2 2 ∴ 100 − 49 % of y = 1510 2 ⇒ y × 200 − 49 = 1510 200 ⇒ y × 151 = 1510 200 ⇒ y = 1510 × 200 = ₹ 2000 151
Correct Option: D
Given that , SP of item = ₹ 1,510
Marked price of the article = ₹ yDiscount = 24 1 % = 49 % 2 2 ∴ 100 − 49 % of y = 1510 2 ⇒ y × 200 − 49 = 1510 200 ⇒ y × 151 = 1510 200 ⇒ y = 1510 × 200 = ₹ 2000 151 ∴ C.P. of article = 1510 × 100 = ₹ 15100 90 9 ∴ Gain = 2000 − 15100 9 Gain = 18000 − 15100 = 2900 9 9 Gain = ₹ 322 2 9
 The true discount on ₹ 1, 860 due after a certain time at 5% is ₹ 60. Find the time after which it is due.

 10 months
 8 months
 9 months
 1 year

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Here , True discount = ₹ 60 , Rate = 5%
∴ Present worth = 1860 – 60 = ₹ 1800Time = 100 × True Discount Present worth × Rate Time = 100 × 60 = 2 year 1800 × 5 3
Correct Option: B
Here , True discount = ₹ 60 , Rate = 5%
∴ Present worth = 1860 – 60 = ₹ 1800Time = 100 × True Discount Present worth × Rate Time = 100 × 60 = 2 year 1800 × 5 3 Time = 2 × 12 months = 8 months 3