246. If an electricity bill is paid before due date, one gets a reduction of 4 % on the amount of the bill . By paying the bill before due date, a person got a reduction of ₹ 13 . The amount of his electricity bill was

1. 1. ₹ 125

   
   
   

   2. ₹ 225

   
   
   

   3. ₹ 325

   
   
   

   4. ₹ 425

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let amount of electricity bill = ₹ N
   ∴ 4% of N = 13
   ⇒ (4 x N)/100 = 13

   Correct Option: C

   Let amount of electricity bill = ₹ N
   ∴ 4% of N = 13
   ⇒ (4 x N)/100 = 13
   ⇒ N = 13 x 25 = ₹ 325

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247. On a 20 % discount sale, an article costs 596 . What was the original price of the article ?

1. 1. ₹ 720

   
   
   

   2. ₹ 735

   
   
   

   3. ₹ 745

   
   
   

   4. ₹ 775

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the original price of be N .
   ∴ At discount of 20% article costs ₹ 596
   ∴ 596 = (80 x N)/100

   Correct Option: C

   Let the original price of be N .
   ∴ At discount of 20% article costs ₹ 596
   ∴ 596 = (80 x N)/100
   ⇒ N = (596 x 100)/80
   ∴ N = 745
   ∴ original price = ₹ 745

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248. The successive discount of 15 %, 20 % and 25 % on an article is equivalent to the single discount of

1. 1. 60%

   
   
   

   2. 47%

   
   
   

   3. 49%

   
   
   

   4. 40%

   
   
   

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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

   
   Single equivalent discount for 15% and 20%
   

   =		15 + 20 −	15 × 20		%
   			100

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

   Correct Option: C

   Use the below formula to calculate the Equivalent single discount.
   

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

   
   Single equivalent discount for 15% and 20%
   

   =		15 + 20 −	15 × 20		%
   			100

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

   =		32 + 25 −	32 × 25		%
   			100

   
   = (57 – 8)% = 49%

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249. Successive discounts of p% and q% on the catalogue price of an article is equivalent to a single discount of :

1. 1. 	x − y −	xy		%
      		100

   
   
   

   2. 	p − q −	pq		%
      		100

      
      

   
   
   

   3. 	p + q −	pq		%
      		100

   
   
   

   4. 	p + q +	pq		%
      		100

   
   
   

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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: C

   As we know the formula for two successive discount.
   

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

   
   Single equivalent discount
   

   =		p + q −	pq		%
   			100

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250. In selling an article, the single discount equivalent to two successive discounts of 25% and 5% is

1. 1. 28.75%

   
   
   

   2. 30%

   
   
   

   3. 27.5%

   
   
   

   4. 26%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount =		25 + 5 −	25 × 5		%
   			100

   
   

   Correct Option: A

   Single equivalent discount =		25 + 5 −	25 × 5		%
   			100

   
   Single equivalent discount = (30 – 1.25)% = 28.75%

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