Discount
- Two successive discounts of 10% and 5%, in this order, are given on a bill of ₹ 110. Find the net amount of money payable to clear the bill. (answer to the nearest rupee)
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Use the below formula to calculate the Single equivalent discount.
Single equivalent discount = 
D1 + D2 − D1× D2 
% 100 Single equivalent discount = 10 + 5 − 10 × 5 % 100 Correct Option: A
Use the below formula to calculate the Single equivalent discount.
Single equivalent discount = D1 + D2 − D1× D2 % 100 Single equivalent discount = 10 + 5 − 10 × 5 % 100
Single equivalent discount = 14.5 %
∴ Amount to be paid = (100 – 14.5)% of 110⇒ Amount to be paid = 110 ×85.5 = ₹ 94.05 100
⇒ Amount to be paid ≈ ₹ 94
- The marked price of a piano was ₹ 15,000. At the time of sale, there were successive discounts of 20%, 10% and 10% respectively on it. The sale price was
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Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D1 + D2 − D1 × D2 % 100 Single equivalent discount for 20% and 10% = 20 + 10 − 20 × 10 % = (30 - 2) = 28% 100 Single equivalent discount for 28% and 10% = 28 + 10 − 28 × 10 % = ( 38 - 2.8 ) % = 35.2% 100
Alternate method to solve this question :
According to given question.
Here, M.P. = ₹ 15000 , S.P. = ?
D1 =20%, D2 = 10%, D3 = 10%S.P = M.P 100 − D1 100 − D2 100 − D3 100 100 100 ⇒ S.P = 15000 100 − 20 100 − 10 100 − 10 100 100 100 Correct Option: A
Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D1 + D2 − D1 × D2 % 100 Single equivalent discount for 20% and 10% = 20 + 10 − 20 × 10 % = (30 - 2) = 28% 100 Single equivalent discount for 28% and 10% = 28 + 10 − 28 × 10 % = ( 38 - 2.8 ) % = 35.2% 100 ∴ S.P. of Piano = 15000 ×(100 −35.2) 100
∴ S.P. of Piano = ₹ 9,720
Alternate method to solve this question :
According to given question.
Here, M.P. = ₹ 15000 , S.P. = ?
D1 =20%, D2 = 10%, D3 = 10%S.P = M.P 100 − D1 100 − D2 100 − D3 100 100 100 ⇒ S.P = 15000 100 − 20 100 − 10 100 − 10 100 100 100 ⇒ S.P = 15000 × 80 × 90 × 90 100 100 100
⇒ S.P = 15 × 72 × 9 = ₹ 9720
- A shopkeeper purchased a chair marked at ₹ 600 at two successive discounts of 15% and
20% respectively. He spent ₹ 28 on transportation and sold the chair for ₹ 545. His gain percent was
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C.P of chair = 600 − 600 × 15 × 80 100 100 Correct Option: A
C.P of chair = 600 − 600 × 15 × 80 100 100 C.P of chair = 510 × 80 = ₹ 408 100
Actual C.P. = 408 + 28 = ₹ 436Gain percent = 545 - 436 × 100 = 25 % 436
- The cost price of an article is ₹ 100. A discount series of 5 %, 10 % successively reduces the price of a article by
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As we know the formula for two successive discount.
Equivalent single discount = D1 + D2 − D1 × D2 % 100 Correct Option: B
As we know the formula for two successive discount.
Equivalent single discount = D1 + D2 − D1 × D2 % 100 Single equivalent discount = 10 + 5 − 10 × 5 = 14.5% 100
i.e. ₹ 14.50
- A dealer buys a table listed at ₹ 1,500 and gets successive discounts of 20 % and 10 %. He spends ₹ 20 on transportation and sells at a profit of 20 %. Find the Selling Price of the table (in rupees).
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Single equivalent discount = 20 + 10 − 20 × 10 = 28% 100 Correct Option: A
Single equivalent discount = 20 + 10 − 20 × 10 = 28% 100 ∴ C.P of table = 1500 × (100 - 28) 100 ∴ C.P of table = 1500 × 72 100
∴ C.P of table = ₹ 1080
Actual C.P. = 1080 + 20 = ₹ 1100∴ Required S.P. = 1100 × 120 = ₹ 1320 100
