Discount
 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

 ₹ 9,720
 ₹ 9,750
 ₹ 9,760
 ₹ 9,780

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Use the below formula to calculate the Equivalent single discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 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. = ?
D_{1} =20%, D_{2} = 10%, D_{3} = 10%S.P = M.P 100 − D_{1} 100 − D_{2} 100 − D_{3} 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 = D_{1} + D_{2} − D_{1} × D_{2} % 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. = ?
D_{1} =20%, D_{2} = 10%, D_{3} = 10%S.P = M.P 100 − D_{1} 100 − D_{2} 100 − D_{3} 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

 25%
 30%
 35%
 20%

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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

 ₹ 4.5
 ₹ 14.5
 ₹ 24.5
 None of the above

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As we know the formula for two successive discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 100 Correct Option: B
As we know the formula for two successive discount.
Equivalent single discount = D_{1} + D_{2} − D_{1} × D_{2} % 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).

 1320
 1080
 1200
 1230

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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
 A purchased a dining table, marked at ₹ 3,000 at a successive discounts of 10% and 15% respectively. He gave ₹ 105 as transportation charge and sold it at ₹ 3,200. What is his gain percentage?


22 1 % 3  25%

33 1 % 3 
37 17 % 24


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Cost Price for A = 3000 × 90 × 85 = ₹ 2295 100 100 Correct Option: C
Cost Price for A = 3000 × 90 × 85 = ₹ 2295 100 100
Actual Cost Price for A = 2295 + 105 = ₹ 2400∴ Gain % = 800 × 100 2400 Gain % = 100 = 33 1 % 3 3