6. 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).

1. 1. 1320

   
   
   

   2. 1080

   
   
   

   3. 1200

   
   
   

   4. 1230

   
   
   

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1. View Hint View Answer Discuss in Forum

   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

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7. A chair listed at ₹ 350 is available at successive discounts of 25% and 10%. The selling price of the chair is

1. 1. ₹ 236.25

   
   
   

   2. ₹ 230.25

   
   
   

   3. ₹ 240.25

   
   
   

   4. ₹ 242.25

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount =		25 + 10 −	25 × 10		= 32.5%
   			100

   
   Alternate method to solve this question :
   Here, M.P. = 350, D₁ = 25 %, D₂ = 10 %
   

   S.P. = M.P.		100 − D1			100 − D2
   		100			100

   
   

   Correct Option: A

   Single equivalent discount =		25 + 10 −	25 × 10		= 32.5%
   			100

   
   

   ∴  S.P. of chair =	350 (100 − 32.5)
   	100

   
   

   ∴  S.P. of chair =	350 × 67.5	= ₹ 236.25
   	100

   
   Alternate method to solve this question :
   Here, M.P. = 350, D₁ = 25 %, D₂ = 10 %
   

   S.P. = M.P.		100 − D1			100 − D2
   		100			100

   
   

   S.P = 350 ×		100 − 25			100 − 10
   		100			100

   
   

   S. P = 350 ×	75	×	90	= ₹ 236.25
   	100		100

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8. 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?

1. 1. 22	1	%
      	3

   
   
   

   2. 25%

   
   
   

   3. 33	1	%
      	3

   
   
   

   4. 37	17	%
      	24

   
   
   

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1. View Hint View Answer Discuss in Forum

   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

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9. The difference between successive discounts of 40% followed by 30% and 45% followed by 20% on the marked price of an article is Rs. 12. The marked price of the article is :

1. 1. ₹ 800

   
   
   

   2. ₹ 400

   
   
   

   3. ₹ 200

   
   
   

   4. ₹ 600

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount for 40% and 30%
   

   =		40 + 30 −	40 × 30		%
   			100

   
   = (70 – 12)% = 58%
   Single equivalent discount for 45% and 20%
   

   =		45 + 20 −	45 × 20		%
   			100

   
   = (65 – 9)% = 56%
   Let the marked price be Rs. M.
   According to the question,
   M × (58 – 56)% = 12
   

   Correct Option: D

   Single equivalent discount for 40% and 30%
   

   =		40 + 30 −	40 × 30		%
   			100

   
   = (70 – 12)% = 58%
   Single equivalent discount for 45% and 20%
   

   =		45 + 20 −	45 × 20		%
   			100

   
   = (65 – 9)% = 56%
   Let the marked price be Rs. M.
   According to the question,
   M × (58 – 56)% = 12
   

   ⇒	M × 2	= 12
   	100

   
   

   ⇒  M =	1200	= Rs. 600
   	2

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10. The cost price of an article is ₹ 100. A discount series of 5 %, 10 % successively reduces the price of a article by

1. 1. ₹ 4.5

   
   
   

   2. ₹ 14.5

   
   
   

   3. ₹ 24.5

   
   
   

   4. None of the above

   
   
   

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1. View Hint View Answer Discuss in Forum

   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

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