126. Discount on a pair of shoes marked at ₹ 475 and discounted at 15%, is

1. 1. ₹ 70

   
   
   

   2. ₹ 71.25

   
   
   

   3. ₹ 72

   
   
   

   4. ₹ 72.25

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required discount =	475 × 15	= ₹ 71.25
   	100

   Correct Option: B

   Required discount =	475 × 15	= ₹ 71.25
   	100

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127. The list price of a shirt is ₹ 440 and a customer pays ₹ 396 for it. The discount rate is

1. 1. 10%

   
   
   

   2. 10	1	%
      	2

   
   
   

   3. 20%

   
   
   

   4. 12%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Discount = 440 – 396 = 44
   If the rate of discount be x %, then
   

   440 × x	= 44
   100

   
   

   ⇒  x =	44 × 100	= 10%
   	440

   
   Second Method :
   Here, M.P. = ₹ 440
   S.P. = ₹ 396
   

   Discount % =	M.P. − S.P.	× 100
   	M.P.

   
   

   =	440 − 396	× 100%
   	440

   
   

   =	44	× 100% = 10%
   	440

   Correct Option: A

   Discount = 440 – 396 = 44
   If the rate of discount be x %, then
   

   440 × x	= 44
   100

   
   

   ⇒  x =	44 × 100	= 10%
   	440

   
   Second Method :
   Here, M.P. = ₹ 440
   S.P. = ₹ 396
   

   Discount % =	M.P. − S.P.	× 100
   	M.P.

   
   

   =	440 − 396	× 100%
   	440

   
   

   =	44	× 100% = 10%
   	440

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128. The interest on a certain sum of money is ₹ 22 and the true discount on the same sum for the same time and at the same rate is ₹ 20, Find the sum.

1. 1. ₹ 220

   
   
   

   2. ₹ 200

   
   
   

   3. ₹ 210

   
   
   

   4. ₹ 212

   
   
   

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1. View Hint View Answer Discuss in Forum

   Sum =	S.I. × True discount
   	S.I. − True discount

   
   

   =	22 × 20	= ₹ 220
   	22 − 20

   Correct Option: A

   Sum =	S.I. × True discount
   	S.I. − True discount

   
   

   =	22 × 20	= ₹ 220
   	22 − 20

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129. A mobile phone is listed at ₹ 1,500 and a discount of 10% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to ₹ 1,242?

1. 1. 10%

   
   
   

   2. 8%

   
   
   

   3. 12%

   
   
   

   4. 18%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Price after discount of 10% =	1500 × 90	= ₹ 1350
   	100

   
   Second discount
   = 1350 – 1242 = ₹ 108
   If the rate of second discount be x% then,
   

   1350 × x	= 108
   100

   
   

   ⇒  x =	108 × 100	= 8%
   	1350

   Correct Option: B

   Price after discount of 10% =	1500 × 90	= ₹ 1350
   	100

   
   Second discount
   = 1350 – 1242 = ₹ 108
   If the rate of second discount be x% then,
   

   1350 × x	= 108
   100

   
   

   ⇒  x =	108 × 100	= 8%
   	1350

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130. A reduction of 20% in the price of rice enables a customer to purchase 12.5 kg more for ₹ 800. The original price of rice (per kg) is

1. 1. ₹ 14

   
   
   

   2. ₹ 16

   
   
   

   3. ₹ 12

   
   
   

   4. ₹ 15

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let original price of rice = x /kg
   

   New price =	4x	per kg
   	5

   
   

   ∴	800	−	800	= 12.5
   	4x/5		x

   
   

   ⇒  800		5	−	1		= 12.5
   		4x		x

   
   

   ⇒  800		5 − 4		= 12.5
   		4x

   
   

   ⇒	800	= 12.5
   	4x

   
   

   ⇒  x =	200	= ₹ 16/kg
   	12.5

   Correct Option: B

   Let original price of rice = x /kg
   

   New price =	4x	per kg
   	5

   
   

   ∴	800	−	800	= 12.5
   	4x/5		x

   
   

   ⇒  800		5	−	1		= 12.5
   		4x		x

   
   

   ⇒  800		5 − 4		= 12.5
   		4x

   
   

   ⇒	800	= 12.5
   	4x

   
   

   ⇒  x =	200	= ₹ 16/kg
   	12.5

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