161. The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the set of the shirt and trousers is 30%, the discount offered on the trousers is

1. 1. 15%

   
   
   

   2. 20%

   
   
   

   3. 25%

   
   
   

   4. 30%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the marked price of shirt be p and that of trousers be 2p.
   Let the discount on the trousers be q%. Then,
   According to question ,
   

   p ×	40	+ 2p ×	y	= 3p ×	30
   	100		100		100

   
   ⇒ 40p + 2pq = 90p
   ⇒ 2q = 90 – 40
   

   Correct Option: C

   Let the marked price of shirt be p and that of trousers be 2p.
   Let the discount on the trousers be q%. Then,
   According to question ,
   

   p ×	40	+ 2p ×	y	= 3p ×	30
   	100		100		100

   
   ⇒ 40p + 2pq = 90p
   ⇒ 2q = 90 – 40
   

   ⇒  q =	50	= 25%
   	2

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162. The list price of a book is Rs. 100. A dealer sells three such books for Rs. 274.50 after allowing discount at a certain rate. Find the rate of discount.

1. 1. 8.16%

   
   
   

   2. 8.5%

   
   
   

   3. 8.34%

   
   
   

   4. 8.33%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Total marked price of three books = Rs. 300
   Their S.P. = Rs. 244.50
   Discount = Rs. (300 – 274.50) = Rs. 25.50
   If the rate of discount be x%, then
   

   300 × x	= 25.50
   100

   
   ⇒  300x = 25.50 × 100
   

   ⇒  x =	25.50 × 100	= 8.5%
   	300

   
   Second Method :
   M.P. = Rs. 300 (for three books)
   S.P. = Rs. 274.50
   

   =		M.P. − S.P.		×100%
   		M.P.

   
   

   =		300 − 274.50		×100%
   		300

   
   

   25.50	× 100 = 8.5%
   300

   Correct Option: B

   Total marked price of three books = Rs. 300
   Their S.P. = Rs. 244.50
   Discount = Rs. (300 – 274.50) = Rs. 25.50
   If the rate of discount be x%, then
   

   300 × x	= 25.50
   100

   
   ⇒  300x = 25.50 × 100
   

   ⇒  x =	25.50 × 100	= 8.5%
   	300

   
   Second Method :
   M.P. = Rs. 300 (for three books)
   S.P. = Rs. 274.50
   

   =		M.P. − S.P.		×100%
   		M.P.

   
   

   =		300 − 274.50		×100%
   		300

   
   

   25.50	× 100 = 8.5%
   300

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163. A dozen pair of socks quoted at ₹ 80 are available at a discount of 10%. How many pairs of socks can be bought for ₹ 24 ?

1. 1. 4

   
   
   

   2. 5

   
   
   

   3. 3

   
   
   

   4. 6

   
   
   

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1. View Hint View Answer Discuss in Forum

   SP of 12 pairs of socks = 90% of 80
   

   =	80 × 90	= Rs.72 = ₹ 72
   	100

   
   ∴  Number of pairs bought for ₹ 24
   

   =	12 × 24	= 4
   	72

   Correct Option: A

   SP of 12 pairs of socks = 90% of 80
   

   =	80 × 90	= Rs.72 = ₹ 72
   	100

   
   ∴  Number of pairs bought for ₹ 24
   

   =	12 × 24	= 4
   	72

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164. 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 the amount of the bill be x.
   

   ∴	4x	= 13
   	100

   
   

   ⇒  x =	1300	= ₹ 325
   	4

   Correct Option: C

   Let the amount of the bill be x.
   

   ∴	4x	= 13
   	100

   
   

   ⇒  x =	1300	= ₹ 325
   	4

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165. The true discount on a sum of money due 2 years hence at 5% is ₹ 15. Find the sum.

1. 1. ₹ 150

   
   
   

   2. ₹ 165

   
   
   

   3. ₹ 170

   
   
   

   4. ₹ 160

   
   
   

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1. View Hint View Answer Discuss in Forum

   True discount =	Amount × R × T
   	100 + (R × T)

   
   

   ⇒  15 =	A × 5 × 2
   	100 + 10

   
   ⇒  A = 11 × 15 = ₹ 165

   Correct Option: B

   True discount =	Amount × R × T
   	100 + (R × T)

   
   

   ⇒  15 =	A × 5 × 2
   	100 + 10

   
   ⇒  A = 11 × 15 = ₹ 165

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