186. A cash payment that will settle a bill for 250 chairs at ₹ 50 per chair less 20% and 15% with a further discount of 5% on cash payment is :

1. 1. ₹ 8075

   
   
   

   2. ₹ 7025

   
   
   

   3. ₹ 8500

   
   
   

   4. ₹ 7125

   
   
   

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1. View Hint View Answer Discuss in Forum

   By question, original price of 250 chairs
   = 250 × 50 = ₹ 12500
   

   Price after discount = 12500 ×	80	×	85	×	95	= ₹ 8075
   	100		100		100

   Correct Option: A

   By question, original price of 250 chairs
   = 250 × 50 = ₹ 12500
   

   Price after discount = 12500 ×	80	×	85	×	95	= ₹ 8075
   	100		100		100

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187. Successive discounts of 10%, 20% and 30% is equivalent to a single discount of

1. 1. 60%

   
   
   

   2. 49.6%

   
   
   

   3. 40.5%

   
   
   

   4. 36%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Single equivalent discount for successive discounts of 10% and 20%.
   

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

   
   Single equivalent discount for 28% and 30%.
   Similarly calculate by using the formula for Equivalent discount of two successive discount D1 and discount D2.

   Correct Option: B

   Using Rule 5,
   Single equivalent discount for successive discounts of 10% and 20%.
   

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

   
   Single equivalent discount for 28% and 30%.
   

   =		28 + 30 −	28 × 30		% = 49.6%
   			100

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188. Two successive discounts of 20% and 20% is 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

   Use the below formula to calculate the Equivalent single discount.
   

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

   Correct Option: C

   Use the below formula to calculate the Equivalent single discount.
   

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

   
   

   Equivalent single discount =		20 + 20 −	20 × 20		% = 36%
   			100

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189. Two successive discounts of 10% and 5% are equivalent to a single discount of

1. 1. 14%

   
   
   

   2. 14.25%

   
   
   

   3. 14.50%

   
   
   

   4. 15%

   
   
   

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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: C

   Use the below formula to calculate the Equivalent single discount.
   

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

   
   

   Single equivalent discount =		10 + 5 −	10 × 5		%
   			100

   
   = (15 – 0.5)% = 14.5%
   

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190. What single discount is equivalent to two successive discounts of 20% and 15%?

1. 1. 35%

   
   
   

   2. 32%

   
   
   

   3. 34%

   
   
   

   4. 30%

   
   
   

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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: B

   Use the below formulae to calculate the Single equivalent discount.
   

   Single equivalent discount =		x + y −	xy		%
   			100

   
   

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

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