Discount
- While selling a cooler, a shopkeeper gives a discount of 10% on the marked price. If he gives a discount of 12% he earns ₹ 35 less as profit. The marked price of the cooler is
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Let the market price of the cooler be y,
According to the question,
(12 – 10)% of y = 35
⇒ 2% of y = 35⇒ y × 2 = 35 100
Correct Option: D
Let the market price of the cooler be y,
According to the question,
(12 – 10)% of y = 35
⇒ 2% of y = 35⇒ y × 2 = 35 100 ⇒ y = 3500 = ₹ 1750 2
- A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent is
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If the C.P. of goods be ₹ 100, then
Marked price = ₹ 120
discount = 15%∴ S.P. = 120 × 85 = ₹ 102 100
Profit = S.P. - C.P. = 102 - 100 = ₹ 2Hence, Required percent = 2 × 100 = 2% 100
Second method :
Here, r = 20%, r1 = 15%
Using the given formula ,Gain % = r × (100 − r1) − r1 100
Correct Option: C
If the C.P. of goods be ₹ 100, then
Marked price = ₹ 120
discount = 15%∴ S.P. = 120 × 85 = ₹ 102 100
Profit = S.P. - C.P. = 102 - 100 = ₹ 2Hence, Required percent = 2 × 100 = 2% 100
Second method :
Here, r = 20%, r1 = 15%
Using the given formula ,Gain % = r × (100 − r1) − r1 100 Gain % = 20 × (100 − 15) − 15 100 = 20 × 85 − 15 100
Gain % = 17 – 15 = 2%
- A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives ₹ 1064 after paying the discount. His profit is
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Given that , discount = 5%
Suppose Cost price of article = ₹ y∴ y × 140 × 95 = 1064 100 100
Correct Option: D
Given that , discount = 5%
Suppose Cost price of article = ₹ y∴ y × 140 × 95 = 1064 100 100 ⇒ y = 1064 × 100 × 100 = ₹ 800 140 × 95
Hence , Cost price of article is ₹ 800 .
- The true discount on ₹ 1, 860 due after a certain time at 5% is ₹ 60. Find the time after which it is due.
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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
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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
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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
