256. Successive discounts of 30% and 20% is equivalent to a single discount of

1. 1. 50%

   
   
   

   2. 40%

   
   
   

   3. 44%

   
   
   

   4. 10%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Use the below formula to calculate the Single equivalent discount.
   

   Single equivalent discount =		D1 + D2 −	D1× D2		%
   			100

   Correct Option: C

   Use the below formula to calculate the Single equivalent discount.
   

   Single equivalent discount =		D1 + D2 −	D1× D2		%
   			100

   
   

   Single equivalent discount =		30 + 20 −	30 × 20		%
   			100

   
   ⇒  Single equivalent discount = 50 – 6 = 44%

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257. Two successive discounts of 10% and 20%, equals a single discount of

1. 1. 30%

   
   
   

   2. 25%

   
   
   

   3. 28%

   
   
   

   4. 29%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount =		x + y −	xy		%
   			100

   
   

   Correct Option: C

   Single equivalent discount =		x + y −	xy		%
   			100

   
   

   Single equivalent discount =		10 + 20 −	10 × 20		% = 28%
   			100

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258. 10% discount and then 20% discount in succession is equivalent to total discount of

1. 1. 28%

   
   
   

   2. 15%

   
   
   

   3. 30%

   
   
   

   4. 24%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount =		P + Q −	P x Q		%
   			100

   
   

   Correct Option: A

   Single equivalent discount =		P + Q −	P x Q		%
   			100

   
   

   Single equivalent discount =		10 + 20 −	10 × 20		%
   			100

   
   Single equivalent discount = (30 – 2)% = 28%

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259. Find a simple discount equivalent to a discount series of 10%, 20% and 25%.

1. 1. 55%

   
   
   

   2. 45%

   
   
   

   3. 52%

   
   
   

   4. 46%

   
   
   

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1. View Hint View Answer Discuss in Forum

   First method to solve this question :
   According to given question.
   Here, D₁ = 10%, D₂ = 20%, D₃ = 25%
   Single equivalent discount
   

   = 100 −

   100 − D1

   100 − D2

   100 − D3

   × 100

   100

   100

   100

   
   

   = 100 −

   100 − 10

   100 − 20

   100 − 25

   × 100

   100

   100

   100

   
   2nd Method to solve this question :
   According to given question.
   Single equivalent discount for discounts of 10% and 20%
   

   =		20 + 10 −	20 × 10		%
   			100

   
   = (30 – 2)% = 28%
   Single equivalent discounts for discounts of 28% and 25%
   Calculate further to solve this question.
   
   

   Correct Option: D

   First method to solve this question :
   According to given question.
   Here, D₁ = 10%, D₂ = 20%, D₃ = 25%
   Single equivalent discount
   

   = 100 −

   100 − D1

   100 − D2

   100 − D3

   × 100

   100

   100

   100

   
   

   = 100 −

   100 − 10

   100 − 20

   100 − 25

   × 100

   100

   100

   100

   
   

   = 100 −	90	×	80	×	75	× 100
   	100		100		100

   
   = 100 – 54 = 46%
   2nd Method to solve this question :
   According to given question.
   Single equivalent discount for discounts of 10% and 20%
   

   =		20 + 10 −	20 × 10		%
   			100

   
   = (30 – 2)% = 28%
   Single equivalent discounts for discounts of 28% and 25%
   

   =		28 + 25 −	28 × 25		%
   			100

   
   = (53 –7)% = 46%

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260. Successive discounts of 20% and 10% are equivalent to a single discount of :

1. 1. 15%

   
   
   

   2. 28%

   
   
   

   3. 25%

   
   
   

   4. 30%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Use the below formula to calculate the Single equivalent discount.
   

   Single equivalent discount =		D1 + D2 −	D1× D2		%
   			100

   Correct Option: B

   Use the below formula to calculate the Single equivalent discount.
   

   Single equivalent discount =		D1 + D2 −	D1× D2		%
   			100

   
   

   Single equivalent discount =		20 + 10 −	20 × 10		= 28%
   			100

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