Discount
- 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 ?
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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 at 10% loss after giving a discount equal to half the marked price. Then the cost price is
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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 person purchased a saree for ₹ 7710 after availing a net discount of ₹ 1285. The percentage of discount, the saree shop offers, is
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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
- After allowing 10% discount, a dealer wishes to sell a machine for ₹ 2,700. At what price must the machine be marked ?
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Given that , SP of machine = ₹ 2,700 , discount = 10%
Let the marked price be ₹ y.∴ y × 90 = 2700 100
Correct Option: B
Given that , SP of machine = ₹ 2,700 , discount = 10%
Let the marked price be ₹ y.∴ y × 90 = 2700 100 ⇒ y = 2700 × 100 = ₹ 3000 90
Hence , marked price be ₹ 3000.
- The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs. 16. Find the gain percent.
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Given Here , marked price of a saree = Rs. 200
S.P. of saree = (100 – 20)% of 200
S.P. of saree = 80% of 200S.P. of saree = 200 × 80 = ₹ 160 100
profit = Rs. 16
∴ C.P. of saree = 160 – 16 = ₹ 144∴ Profit percent = 16 × 100 144
Correct Option: A
Given Here , marked price of a saree = Rs. 200
S.P. of saree = (100 – 20)% of 200
S.P. of saree = 80% of 200S.P. of saree = 200 × 80 = ₹ 160 100
profit = Rs. 16
∴ C.P. of saree = 160 – 16 = ₹ 144∴ Profit percent = 16 × 100 144 Profit percent = 100 = 11 1 % 9 9
