191. Two successive discounts of 5%, 10% are given for an article costing ₹ 850. Present cost of the article is (in ₹ ) :

1. 1. 725

   
   
   

   2. 726.75

   
   
   

   3. 700

   
   
   

   4. 650

   
   
   

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1. View Hint View Answer Discuss in Forum

   Use the below formula to calculate the Equivalent single discount.
   

   Equivalent single discount =		D1 + D2 −	D1 × D2		%
   			100

   Correct Option: B

   Use the below formula to calculate the Equivalent single discount.
   

   Equivalent single discount =		D1 + D2 −	D1 × D2		%
   			100

   
   Single equivalent discount
   

   =		5 + 10 −	10 × 5		% = 14.5%
   			100

   
   ∴  Cost of article after discount
   

   =	850 × (100 − 14.50)	= ₹ 726.75
   	100

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192. The discount series 10%, 20%, 40% is equivalent to a single discount of

1. 1. 50%

   
   
   

   2. 56.8%

   
   
   

   3. 60%

   
   
   

   4. 62.28%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount for 10% and 20%
   

   = 10 + 20 −	20 × 10	= 28%
   	100

   
   Single equivalent discount for 28% and 40%
   Similarly calculate the single discount.
   Alternate method to solve this question :
   Here, D₁ = 10%, D₂ = 20%, D₃ = 40%
   

   Single discount = 100 −

   100 − D1

   100 − D2

   100 − D3

   × 100

   100

   100

   100

   Correct Option: B

   Single equivalent discount for 10% and 20%
   

   = 10 + 20 −	20 × 10	= 28%
   	100

   
   Single equivalent discount for 28% and 40%
   

   =		40 + 28 −	28 × 40		%
   			100

   
   = (68 – 11.2) % = 56.8%
   Alternate method to solve this question :
   Here, D₁ = 10%, D₂ = 20%, D₃ = 40%
   

   Single discount = 100 −

   100 − D1

   100 − D2

   100 − D3

   × 100

   100

   100

   100

   
   

   Single discount = 100 −

   100 − 10

   100 − 20

   100 − 40

   × 100

   100

   100

   100

   
   

   Single discount = 100 −	90	×	80	×	60	× 100
   	100		100		100

   
   Single discount = 100 – 43.20 = 56.8%

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193. The single discount, which is equivalent to successive discounts of 25% and10 %, is :

1. 1. 35 %

   
   
   

   2. 34.5%

   
   
   

   3. 33 %

   
   
   

   4. 32.5 %

   
   
   

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1. View Hint View Answer Discuss in Forum

   Use the below formulae to calculate the Single equivalent discount.
   

   Single equivalent discount =		x + y −	xy		%
   			100

   Correct Option: D

   Use the below formulae to calculate the Single equivalent discount.
   

   Single equivalent discount =		x + y −	xy		%
   			100

   
   

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

   
   Single equivalent discount = 32.5%

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194. The single discount equivalent to two successive discounts of 20% and 5% is

1. 1. 24%

   
   
   

   2. 25%

   
   
   

   3. 22%

   
   
   

   4. 23%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Equivalent single discount =		x + y −	xy		%
   			100

   Correct Option: A

   Equivalent single discount =		x + y −	xy		%
   			100

   
   

   Equivalent single discount =		20 + 5 −	20 × 5		%
   			100

   
   Equivalent single discount = (25 – 1)% = 24%

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195. The difference between a discount of 35 % and two successive discounts of 20 % on a certain bill was ₹ 22. The amount of the bill was

1. 1. ₹ 200

   
   
   

   2. ₹ 220

   
   
   

   3. ₹ 1,100

   
   
   

   4. ₹ 2,200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount of two successive discounts of 20 % each
   

   =		20 + 20 −	20 × 20		%
   			100

   Correct Option: D

   Single equivalent discount of two successive discounts of 20% each
   

   =		20 + 20 −	20 × 20		%
   			100

   
   = 36%
   If the amount of the bill be A, then
   ∴  (36 – 35)% of A = 22
   

   ⇒	A	= 22
   	100

   
   ⇒ A = ₹ 2200

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