Discount
- A plate was sold for 6,300 after giving two successive discounts of
12 1 % and 10%. Find the marked price. 2
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Single equivalent discount for two successive discounts
= 
x + y − xy 
% 100 = 25 + 10 − 25 × 10 % 2 100
= ( 12.5 + 10 – 1.25 )%
= 21.25 %
If the marked price of the plate be ₹ M and solve this question further.
Alternate method to solve this question :
According to given question.
Here, S.P. = 6300, M.P. = ?
D1 = 25/2 %, D2 = 10%S.P. = M.P. 100 − D1 100 − D2 100 100 6300 = M.P. 100 − 25/2 100 − 10 100 100 ⇒ 6300 = M.P. 175 90 200 100
Correct Option: C
Single equivalent discount for two successive discounts
= x + y − xy % 100 = 25 + 10 − 25 × 10 % 2 100
= ( 12.5 + 10 – 1.25 )%
= 21.25 %
If the marked price of the plate be ₹ M, then
= (100 – 21.25 ) % of M = 6300⇒ M × 78.75 = 6300 100 ⇒ M = 6300 × 100 = ₹ 8000 78.75
Alternate method to solve this question :
According to given question.
Here, S.P. = 6300, M.P. = ?
D1 = 25/2 %, D2 = 10%S.P. = M.P. 100 − D1 100 − D2 100 100 6300 = M.P. 100 − 25/2 100 − 10 100 100 ⇒ 6300 = M.P. 175 90 200 100 ⇒ M.P. = 6300 × 200 ×100 175 × 90
⇒ M.P. = ₹ 8000
- 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
- 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
- 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
- A double bed is marked at ₹ 7,500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price ?
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As we know the formula for two successive discount.
Single equivalent discount = D1 + D2 − D1 × D2 % 100 Single equivalent discount for 8% and 5% = 8 + 5 − 8 × 5 % 100
Single equivalent discount for 8% and 5% = (13 – 0.4) = 12.6 %
Similarly calculate other discount and Solve the question for Net Selling price of product.
Alternate method to solve this question :
According to given question.
M.P. = ₹ 7500, S.P. = ?, D1 = 8%, D2 = 5%, D3 = 2%S.P = M.P. 100 − D1 100 − D2 100 − D3 100 100 100 S.P = 7500 100 − 8 100 − 5 100 − 2 100 100 100 Correct Option: C
As we know the formula for two successive discount.
Single equivalent discount = D1 + D2 − D1 × D2 % 100 Single equivalent discount for 8% and 5% = 8 + 5 − 8 × 5 % 100 Single equivalent discount for 8% and 5% = 8 + 5 − 8 × 5 % 100
Single equivalent discount for 8% and 5% = (13 – 0.4) = 12.6 %Single equivalent disconut for 12.6% and 2% = 12.6 + 2 − 12.6 × 2 % 100
Single equivalent disconut for 12.6% and 2% = 14.6 – 0.252 = 14.348 %
∴ Net S.P = (100 – 14.348) % of 7500∴ Net S.P = 7500 × 85.652 = ₹ 6423.90 100
Alternate method to solve this question :
According to given question.
M.P. = ₹ 7500, S.P = ?, D1 = 8%, D2 = 5%, D3 = 2%S.P = M.P. 100 − D1 100 − D2 100 − D3 100 100 100 S.P = 7500 100 − 8 100 − 5 100 − 2 100 100 100 S.P = 7500 × 92 × 95 × 98 100 100 100
S.P = ₹ 6423.90
