141. The discount on a certain sum of money,

     due at the end of 2	1	years at 2	2	% p.a. is ₹ 78.
     	4		3

     Find the sum.

1. 1. ₹ 1,278

   
   
   

   2. ₹ 1,300

   
   
   

   3. ₹ 1,378

   
   
   

   4. ₹ 1,400

   
   
   

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1. View Hint View Answer Discuss in Forum

   Sum =	discount × 100
   	time × rate

   
   

   =	78 × 100
   	9	×	8
   	4		3

   
   

   =	78 × 100	= ₹ 1300
   	6

   Correct Option: B

   Sum =	discount × 100
   	time × rate

   
   

   =	78 × 100
   	9	×	8
   	4		3

   
   

   =	78 × 100	= ₹ 1300
   	6

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142. X purchased an item at a discount of 10% and sold it to Y at 10% profit. The marked price and the price for which Y purchased the item are in ratio

1. 1. 1 : 1

   
   
   

   2. 10 : 99

   
   
   

   3. 20 : 99

   
   
   

   4. 100 : 99

   
   
   

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1. View Hint View Answer Discuss in Forum

   Marked price of article = ₹ x
   

   C.P. for X =	90x	= ₹	9x
   	100		10

   
   

   C.P. for Y =	9x × 110	= ₹	99x
   	100		100

   
   

   ∴  Required ratio = x :	99x	= 100 : 99
   	100

   Correct Option: D

   Marked price of article = ₹ x
   

   C.P. for X =	90x	= ₹	9x
   	100		10

   
   

   C.P. for Y =	9x × 110	= ₹	99x
   	100		100

   
   

   ∴  Required ratio = x :	99x	= 100 : 99
   	100

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143. If in a sale, the discount given on a saree is equal to one-fourth the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is

1. 1. 3 : 4

   
   
   

   2. 4 : 3

   
   
   

   3. 10 : 17

   
   
   

   4. 20 : 17

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of article be = ₹ x
   

   ∴  S.P. = ₹	85x
   	100

   
   

   ∴  Required ratio = x :	85x	= 100 : 85 = 20 : 17
   	100

   Correct Option: D

   Let C.P. of article be = ₹ x
   

   ∴  S.P. = ₹	85x
   	100

   
   

   ∴  Required ratio = x :	85x	= 100 : 85 = 20 : 17
   	100

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144. A trader who marks his goods up to 50% offered a discount of 20%. What % profit the trader makes after offering the payment ?

1. 1. 30%

   
   
   

   2. 70%

   
   
   

   3. 20%

   
   
   

   4. 50%

   
   
   

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1. View Hint View Answer Discuss in Forum

   ∴  Required discount =		50 − 20 −	50 × 20		% = 20%
   			100

   
   Detailed Method
   C.P. of article = Rs. 100
   Marked price = Rs. 150
   

   S.P. =	150 × 80	= Rs. 120
   	100

   
   Gain per cent = 20%

   Correct Option: C

   ∴  Required discount =		50 − 20 −	50 × 20		% = 20%
   			100

   
   Detailed Method
   C.P. of article = Rs. 100
   Marked price = Rs. 150
   

   S.P. =	150 × 80	= Rs. 120
   	100

   
   Gain per cent = 20%

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145. A retailer buys a sewing machine at a discount of 15% and sells it for ₹ 1955. Thus he makes a profit of 15%. The discount is

1. 1. ₹ 270

   
   
   

   2. ₹ 290

   
   
   

   3. ₹ 300

   
   
   

   4. ₹ 310

   
   
   

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1. View Hint View Answer Discuss in Forum

   Marked price of sewing machine = Rs. x
   

   C.P. for the retailer =	1955 × 100	= Rs. 1700
   	115

   
   

   ∴  x ×	85	= 1700
   	100

   
   

   ⇒  x =	1700 × 100	= Rs. 2000
   	85

   
   ∴  Discount = 2000 – 1700 = Rs. 300

   Correct Option: C

   Marked price of sewing machine = Rs. x
   

   C.P. for the retailer =	1955 × 100	= Rs. 1700
   	115

   
   

   ∴  x ×	85	= 1700
   	100

   
   

   ⇒  x =	1700 × 100	= Rs. 2000
   	85

   
   ∴  Discount = 2000 – 1700 = Rs. 300

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