Discount
- A shopkeeper fixes the price of an article at 30% higher than its actual cost. If the sells it at 10% discount on marked price then, the profit is :
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Let the C.P. of article be Rs. 100.
∴ Marked price = Rs. 130S.P. = 130 × 90 = Rs. 117 100
∴ Profit% = 17%
ORRequired profit percent = 
x + y + xy 
% 100 = 30 − 10 − 30 × 10 % = 17% 100
Second Method :
Here, r = 30%
r1 = 10%Profit % = r × (100 − r1) − r1 100 = 30 × (100 − 10) − 10 100 = 30 × 90 − 10 = 17% 100 Correct Option: C
Let the C.P. of article be Rs. 100.
∴ Marked price = Rs. 130S.P. = 130 × 90 = Rs. 117 100
∴ Profit% = 17%
ORRequired profit percent = x + y + xy % 100 = 30 − 10 − 30 × 10 % = 17% 100
Second Method :
Here, r = 30%
r1 = 10%Profit % = r × (100 − r1) − r1 100 = 30 × (100 − 10) − 10 100 = 30 × 90 − 10 = 17% 100
- A table with marked price ₹ 1200 was sold to a customer for ₹ 1100. Find the rate of discount allowed on the table.
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Rate of discount = x%
∴ 1200 × x = 1200 − 1100 100
⇒ 12x = 100⇒ x = 100 = 25 = 8 1 % 12 3 3
Second method :
Here, M.P. = ₹ 1200,
S.P. = ₹ 1100Discount % = M.P. − S.P. × 100 M.P. = 1200 − 1100 × 100 1200 = 100 × 100 = 8 1 % 1200 3 Correct Option: B
Rate of discount = x%
∴ 1200 × x = 1200 − 1100 100
⇒ 12x = 100⇒ x = 100 = 25 = 8 1 % 12 3 3
Second method :
Here, M.P. = ₹ 1200,
S.P. = ₹ 1100Discount % = M.P. − S.P. × 100 M.P. = 1200 − 1100 × 100 1200 = 100 × 100 = 8 1 % 1200 3
- The marked price of an item is twice the cost price. For a gain of 15%, the discount should be
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C.P. of item = 100 (let)
∴ Marked price of item = ₹ 200
S.P. for a gain of 15% = ₹ 115
∴ Discount = 200 – 115 = ₹ 85
If discount percent be x%, then200 × x
= 85100 ⇒ 2x = 85 ⇒ x = 85 = 42.5% 2
Second method :
Let, C.P. = ₹ x,
M.P. = ₹ 2x, r = 15%M.P. = 100 + r C.P. 100 − D 2x = 100 + 15 x 100 − D
200 – 2D = 115
2D = 85
D = 42.5%Correct Option: D
C.P. of item = 100 (let)
∴ Marked price of item = ₹ 200
S.P. for a gain of 15% = ₹ 115
∴ Discount = 200 – 115 = ₹ 85
If discount percent be x%, then200 × x
= 85100 ⇒ 2x = 85 ⇒ x = 85 = 42.5% 2
Second method :
Let, C.P. = ₹ x,
M.P. = ₹ 2x, r = 15%M.P. = 100 + r C.P. 100 − D 2x = 100 + 15 x 100 − D
200 – 2D = 115
2D = 85
D = 42.5%
- The listed price of a shirt is ₹ 270 and it is available at ₹ 237.60. The rate of discount is
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Discount = 270 – 237.60 = Rs. 32.4
If the rate of discount be x%, then270 × x = 32.4 100 ⇒ x = 32.4 × 100 = 12% 270
Second method :
Here, S.P. = Rs. 237.60,
M.P. = Rs. 270Discount % = M.P. − S.P. × 100% M.P. = 270 − 237.60 × 100% 270 = 32.40 × 100 % = 12% 270 Correct Option: B
Discount = 270 – 237.60 = Rs. 32.4
If the rate of discount be x%, then270 × x = 32.4 100 ⇒ x = 32.4 × 100 = 12% 270
Second method :
Here, S.P. = Rs. 237.60,
M.P. = Rs. 270Discount % = M.P. − S.P. × 100% M.P. = 270 − 237.60 × 100% 270 = 32.40 × 100 % = 12% 270
- A dealer allows his customers a discount of 25% and still gains 25%. If an article costs Rs. 1,440 to the dealer; then its marked price is
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Let the marked price of article be Rs. x
According to the question,x × 75 = 1440 × 125 100 100 ⇒ x = 1440 × 125 = Rs. 2400 75
Second method :
Here, D = 25%, r = 25%, C.P. = Rs. 1440, M.P. = ?M.P. = 100 + r C.P. 100 − D M.P. = 100 + 25 1440 100 − 25 M.P. = 125 × 1440 = Rs. 2400 75 Correct Option: B
Let the marked price of article be Rs. x
According to the question,x × 75 = 1440 × 125 100 100 ⇒ x = 1440 × 125 = Rs. 2400 75
Second method :
Here, D = 25%, r = 25%, C.P. = Rs. 1440, M.P. = ?M.P. = 100 + r C.P. 100 − D M.P. = 100 + 25 1440 100 − 25 M.P. = 125 × 1440 = Rs. 2400 75
