211. The single discount equivalent to the discount series of 20%,10% and 5% is :

1. 1. 11.66%

   
   
   

   2. 31.6%

   
   
   

   3. 35.66%

   
   
   

   4. 32%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount for 20% and 10%
   

   =		20 + 10 −	20 × 10		% = 28%
   			100

   
   Single equivalent discount for 28% and 5%
   

   =		28 + 5 −	28 × 5		% = 31.6%
   			100

   
   

   Correct Option: B

   Single equivalent discount for 20% and 10%
   

   =		20 + 10 −	20 × 10		% = 28%
   			100

   
   Single equivalent discount for 28% and 5%
   

   =		28 + 5 −	28 × 5		% = 31.6%
   			100

   
   Alternate method to solve this question :
   Here, D₁ = 20%, D₂ = 10%,D₃ = 5%
   Single equivalent discount
   

   = 100 −

   100 − D1

   100 − D2

   100 − D3

   × 100

   100

   100

   100

   
   

   = 100 −

   100 − 20

   100 − 10

   100 − 5

   × 100

   100

   100

   100

   
   

   = 100 −	80	×	90	×	95	× 100
   	100		100		100

   
   = 100 – 68.40 = 31.60%

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212. A bookseller allowed 15% discount on the books sold. Sunil purchased books worth Rs. 1500. How much will he have to pay to the bookseller.

1. 1. Rs. 1200

   
   
   

   2. Rs. 1250

   
   
   

   3. Rs. 1275

   
   
   

   4. Rs. 1300

   
   
   

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1. View Hint View Answer Discuss in Forum

   Cost of books = Rs. 1500
   Discount per cent = 15%
   ∴  Their S.P. = 85% of 1500
   

   = Rs.		1500 × 85		= Rs. 1275
   		100

   Correct Option: C

   Cost of books = Rs. 1500
   Discount per cent = 15%
   ∴  Their S.P. = 85% of 1500
   

   = Rs.		1500 × 85		= Rs. 1275
   		100

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213. The list price of TV is Rs. 2300 and discount series is found to be 25% and 10%. Then the selling price of TV is

1. 1. Rs.1255.5

   
   
   

   2. Rs.1525.5

   
   
   

   3. Rs.1552.5

   
   
   

   4. Rs.1555.2

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount for 25% and 10%
   

   =		25 + 10 −	25 × 10		%
   			100

   
   = (35 – 2.5)% = 32.5%
   ∴  S.P. of Television = (100 – 32.5)% of Rs. 2300
   

   = Rs.		2300 × 67.5		= Rs. 1552.50
   		100

   Correct Option: C

   Single equivalent discount for 25% and 10%
   

   =		25 + 10 −	25 × 10		%
   			100

   
   = (35 – 2.5)% = 32.5%
   ∴  S.P. of Television = (100 – 32.5)% of Rs. 2300
   

   = Rs.		2300 × 67.5		= Rs. 1552.50
   		100

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214. A watch is listed for Rs. 230 and is sold at a discount of 12%. The sale price of the watch is

1. 1. Rs. 27.6

   
   
   

   2. Rs. 276

   
   
   

   3. Rs. 202.4

   
   
   

   4. Rs. 257.6

   
   
   

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1. View Hint View Answer Discuss in Forum

   Marked price of watch = Rs. 230
   Discount = 12%
   ∴  S.P. of watch = (100 – 12)% of Rs. 230
   

   = Rs.		230 × 88		= Rs. 202.4
   		100

   Correct Option: C

   Marked price of watch = Rs. 230
   Discount = 12%
   ∴  S.P. of watch = (100 – 12)% of Rs. 230
   

   = Rs.		230 × 88		= Rs. 202.4
   		100

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215. A dealer allows a discount of 15%. A customer pays an amount of Rs. 318.75 for an article. At what price is the article listed ?

1. 1. Rs. 366.50

   
   
   

   2. Rs. 375.00

   
   
   

   3. Rs. 350.00

   
   
   

   4. Rs. 431.25

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the marked price of article be Rs. x.
   According to the question,
   (100– 15)% of x = 318.75
   

   ⇒  x ×	85	= 318.75
   	100

   
   

   ⇒  x =	318.75 × 100	= Rs. 375
   	85

   Correct Option: B

   Let the marked price of article be Rs. x.
   According to the question,
   (100– 15)% of x = 318.75
   

   ⇒  x ×	85	= 318.75
   	100

   
   

   ⇒  x =	318.75 × 100	= Rs. 375
   	85

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