261. Two successive discounts of 20% and 20% are equivalent to a single discount of

1. 1. 42%

   
   
   

   2. 40%

   
   
   

   3. 36%

   
   
   

   4. 34%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given, r₁ = 20% and r₂ = 20%
   ∴ Single discount equal to r₁ and r₂
   = (r₁ + r₂ - r₁ x r₂) / 100 %

   Correct Option: C

   Given, r₁ = 20% and r₂ = 20%
   ∴ Single discount equal to r₁ and r₂
   = (r₁ + r₂ - r₁ x r₂) / 100 %
   = (20 + 20 - 20 x 20) / 100
   = 40 - 4 = 36%

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262. If the successive discounts be 20 %, 10 % and 5 %, then the single equivalent rate of discount is :

1. 1. 31.6%

   
   
   

   2. 31.5%

   
   
   

   3. 31%

   
   
   

   4. 31.4%

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that ,
   

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

   
   Single equivalent discount for 20% and 10%
   

   =		20 + 10 −	20 × 10		%
   			100

   
   = (30 – 2)% = 28%
   Calculate the Single equivalent discount for 28% and 5% further.
   
   

   Correct Option: A

   As we know that ,
   

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

   
   Single equivalent discount for 20% and 10%
   

   =		20 + 10 −	20 × 10		%
   			100

   
   = (30 – 2)% = 28%
   Single equivalent discount for 28% and 5%
   

   =		28 + 5 −	28 × 5		%
   			100

   
   

   =		33 −	140		= 31.6%
   			100

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263. An item is offered for sale at Rs. 250, less by successive discounts of 20 % and 15 %, The sale price of the item is :

1. 1. 82% of Rs. 250

   
   
   

   2. 77% of Rs. 250

   
   
   

   3. 68% of Rs. 250

   
   
   

   4. 65% of Rs. 250

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount
   

   =		x + y −	xy		%
   			100

   
   

   =		20 + 15 −	20 × 15		= 32%
   			100

   Correct Option: C

   Single equivalent discount
   

   =		x + y −	xy		%
   			100

   
   

   =		20 + 15 −	20 × 15		= 32%
   			100

   
   ∴  Required S.P. = (100 – 32)% of 250
   ∴  Required S.P. = 68% of 250
   

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264. A discount series of 15%, 20% and 25% is equal to the single discount of

1. 1. 48%

   
   
   

   2. 49%

   
   
   

   3. 50%

   
   
   

   4. 51%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount for 15% and 20%
   

   =		20 + 15 −	20 × 15		%
   			100

   
   = (35 – 3)% = 32%
   Calculate the Single equivalent discount for 32% and 25%.
   

   Correct Option: B

   Single equivalent discount for 15% and 20%
   

   =		20 + 15 −	20 × 15		%
   			100

   
   = (35 – 3)% = 32%
   Single equivalent discount for 32% and 25%
   

   =		32 + 25 −	32 × 25		%
   			100

   
   = (57 – 8) = 49%

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265. Successive discounts of 20% and 10% are given on an item marked at Rs. 700. Find the selling price.

1. 1. Rs. 504

   
   
   

   2. Rs. 196

   
   
   

   3. Rs. 582

   
   
   

   4. Rs. 601

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required selling price = Rs.		700 ×	80	×	90
   			100		100

   Correct Option: A

   Required selling price = Rs.		700 ×	80	×	90
   			100		100

   
   Required selling price = Rs. 504

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