Discount
- A reduction of 10% in the price of a commodity enables a person to buy 25 kg more for ₹ 225. The original price of the commodity per kg was
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Original price of article be x/kg.
New price = 9x /kg. 10 ∴ 225 − 225 = 25 9x/10 x ⇒ 225 × 10 − 225 = 25 9x x ⇒ 250 − 225 = 25 x x ⇒ 25 = 25 ⇒ x = ₹ 1/kg. x Correct Option: B
Original price of article be x/kg.
New price = 9x /kg. 10 ∴ 225 − 225 = 25 9x/10 x ⇒ 225 × 10 − 225 = 25 9x x ⇒ 250 − 225 = 25 x x ⇒ 25 = 25 ⇒ x = ₹ 1/kg. x
- For a certain article, if discount is 25% the profit is 25%. If the discount is 10%, then the profit is
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Let the marked price be x and cost price be 100, then
x × 75 = 125 100 ⇒ x = 125 × 100 = ₹ 500 75 3 S.P. after a discount of 10% = 500 × 90 = ₹ 150 3 100
∴ Gain per cent = 50%
Second Method :Here, r = 25%, D = 25%.M.P. = 100 + 25 C.P. 100 − 25 M.P. = 125 = 5 C.P. 75 3
Now, D =10%
Profit = ?M.P. = 100 + r C.P. 100 − D 5 = 100 + r 3 100 − D 100 + r = 5 × 90 3
r = 150 – 100
r = 50%
Correct Option: A
Let the marked price be x and cost price be 100, then
x × 75 = 125 100 ⇒ x = 125 × 100 = ₹ 500 75 3 S.P. after a discount of 10% = 500 × 90 = ₹ 150 3 100
∴ Gain per cent = 50%
Second Method :Here, r = 25%, D = 25%.M.P. = 100 + 25 C.P. 100 − 25 M.P. = 125 = 5 C.P. 75 3
Now, D =10%
Profit = ?M.P. = 100 + r C.P. 100 − D 5 = 100 + r 3 100 − D 100 + r = 5 × 90 3
r = 150 – 100
r = 50%
- A toy train is marked at ₹ 400 and sold at a discount of 8% during Ganesh puja. A shopkeeper announces a discount of 8%. The amount he will loose if he announces a single discount of 16% is
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Single equivalent discount for successive discounts of 8% and 8%
= 
8 + 8 − 8 × 8 
% 100
= (16 − 0.64)%
∴ Difference = 0.64%
∴ Loss = 400 × 0.64%Amount he will losse = 400 × 64 = ₹ 2.56 100 × 100 Correct Option: A
Single equivalent discount for successive discounts of 8% and 8%
= 8 + 8 − 8 × 8 % 100
= (16 − 0.64)%
∴ Difference = 0.64%
∴ Loss = 400 × 0.64%Amount he will losse = 400 × 64 = ₹ 2.56 100 × 100
- The marked price of a toy is ₹ 60 and at a discount that was sold for ₹ 45. Then rate of discount allowed is
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If the rate of discount be x%, then
60 × x = 60 − 45 = 15 100 ⇒ x = 15 × 100 = 25% 60
Second Method :
M.P. = ₹ 60
S.P. = ₹ 5Discount % = M.P. − S.P. × 100 M.P. Discount % = 60 − 45 × 100 60 = 15 × 100 = 25% 60 Correct Option: D
If the rate of discount be x%, then
60 × x = 60 − 45 = 15 100 ⇒ x = 15 × 100 = 25% 60
Second Method :
M.P. = ₹ 60
S.P. = ₹ 5Discount % = M.P. − S.P. × 100 M.P. Discount % = 60 − 45 × 100 60 = 15 × 100 = 25% 60
- A pen is listed for ₹ 12. A discount of 15% is given on it. A second discount is given bringing the price down to ₹ 8.16. The rate of second discount is
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Let the rate of second discount be x %
After 15% discount,Price of pen = 85 × 12 = ₹ 10.20 100
Now, 10.20 – 8.16 = ₹ 2.04
It is second discount.∴ x ×10.20 = 2.04 100
⇒ 10.2x = 204⇒ x = 204 = 20% 10.2 Correct Option: A
Let the rate of second discount be x %
After 15% discount,Price of pen = 85 × 12 = ₹ 10.20 100
Now, 10.20 – 8.16 = ₹ 2.04
It is second discount.∴ x ×10.20 = 2.04 100
⇒ 10.2x = 204⇒ x = 204 = 20% 10.2
