156. A housewife saved ₹ 2.50 in buying a dress on sale. If she spent ₹ 25 for the dress, approximately how much per cent she saved in the transaction?

1. 1. 8%

   
   
   

   2. 9%

   
   
   

   3. 10%

   
   
   

   4. 11%

   
   
   

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1. View Hint View Answer Discuss in Forum

   The housewife spends ₹ 25 and saves ₹ 2.50.
   i.e., She pays 25 for a dress of ₹ 27.50.
   

   ∴  % Saving =	2.50	× 100 ≈ 9%(app.)
   	27.50

   Correct Option: B

   The housewife spends ₹ 25 and saves ₹ 2.50.
   i.e., She pays 25 for a dress of ₹ 27.50.
   

   ∴  % Saving =	2.50	× 100 ≈ 9%(app.)
   	27.50

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157. A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is

1. 1. 2%

   
   
   

   2. 4.5%

   
   
   

   3. 13.5%

   
   
   

   4. 15%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the C.P. of total goods be ₹ 100.
   ∴  Marked price = ₹ 120
   

   S.P. of	1	stock
   	4

   
   

   = (80% of 120) ×	1	= ₹ 24
   	4

   
   ∴  Loss = ₹ (25 – 24) = ₹ 1
   

   S.P. of remaining	1	stock
   	4

   
   

   = (60% of 120) ×	1	= ₹ 18
   	4

   
   ∴ Loss = ₹ (25 – 18) = ₹ 7
   ∴  Gain = 10 – 1 – 7
   = ₹ 2 i.e., 2%

   Correct Option: A

   Let the C.P. of total goods be ₹ 100.
   ∴  Marked price = ₹ 120
   

   S.P. of	1	stock
   	4

   
   

   = (80% of 120) ×	1	= ₹ 24
   	4

   
   ∴  Loss = ₹ (25 – 24) = ₹ 1
   

   S.P. of remaining	1	stock
   	4

   
   

   = (60% of 120) ×	1	= ₹ 18
   	4

   
   ∴ Loss = ₹ (25 – 18) = ₹ 7
   ∴  Gain = 10 – 1 – 7
   = ₹ 2 i.e., 2%

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158. A fan is listed at ₹ 1500 and a discount of 20% is offered on the list price. What additional
     discount must be offered to the customer to bring the net price to ₹ 1104 ?

1. 1. 8%

   
   
   

   2. 10%

   
   
   

   3. 12%

   
   
   

   4. 15%

   
   
   

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1. View Hint View Answer Discuss in Forum

   After a discount of 20%,
   Listed price = 80% of ₹ 1500
   

   = ₹		1500 ×	80		= ₹ 1200
   			100

   
   Difference
   = ₹ (1200 – 1104) = ₹ 96
   Let x % of 1200 = 96
   

   ⇒  x =	96 × 100	= 8
   	1200

   
   ∴ Second discount = 8%

   Correct Option: A

   After a discount of 20%,
   Listed price = 80% of ₹ 1500
   

   = ₹		1500 ×	80		= ₹ 1200
   			100

   
   Difference
   = ₹ (1200 – 1104) = ₹ 96
   Let x % of 1200 = 96
   

   ⇒  x =	96 × 100	= 8
   	1200

   
   ∴ Second discount = 8%
   

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159. A shopkeeper gives 12 per cent additional discount after giving an initial discount of 20 per cent on the marked price of a radio. If the sale price of the radio is ₹ 704, the marked price is

1. 1. ₹ 844.80

   
   
   

   2. ₹ 929.28

   
   
   

   3. ₹ 1,044.80

   
   
   

   4. ₹ 1,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the marked price of the radio be x.
   According to the question,
   

   x ×	80	=	88	= 704
   	100		100

   
   

   ∴  x =	704 × 100 × 100	= ₹ 1000
   	80 × 88

   Correct Option: D

   Let the marked price of the radio be x.
   According to the question,
   

   x ×	80	=	88	= 704
   	100		100

   
   

   ∴  x =	704 × 100 × 100	= ₹ 1000
   	80 × 88

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160. A dealer buys an article marked at ₹ 25,000 with 20% and 5% off. He spends ₹ 1,000 for its
     repair and sells it for ₹ 25,000. What is his gain or loss per cent?

1. 1. Loss of 25%

   
   
   

   2. Gain of 25%

   
   
   

   3. Gain of 10%

   
   
   

   4. Loss of 10%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Equivalent discount =		20 + 5 −	20 × 5		% = 24%
   			100

   
   

   ∴  CP of article = ₹		25000 ×	76		= ₹ 19000
   			100

   
   Repairs cost = ₹ 1000
   ∴  Actual CP = 19000 +1000 = ₹ 20000
   SP = ₹ 25000
   Profit = 25000 –20000 = ₹ 5000
   

   ∴  Gain% =	5000	× 100 = 25%
   	20000

   Correct Option: B

   Equivalent discount =		20 + 5 −	20 × 5		% = 24%
   			100

   
   

   ∴  CP of article = ₹		25000 ×	76		= ₹ 19000
   			100

   
   Repairs cost = ₹ 1000
   ∴  Actual CP = 19000 +1000 = ₹ 20000
   SP = ₹ 25000
   Profit = 25000 –20000 = ₹ 5000
   

   ∴  Gain% =	5000	× 100 = 25%
   	20000

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