221. A bicycle originally costs ₹ 100 and was discounted 10%. After three months, it was sold after being discounted 15%. How much was the bicycle sold for ?

1. 1. ₹ 55.5

   
   
   

   2. ₹ 95.25

   
   
   

   3. ₹ 76.5

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question, SP of
   bicycle = 100 × 0.9 × 0.85 = ₹ 76.50

   Correct Option: C

   According to question, SP of
   bicycle = 100 × 0.9 × 0.85 = ₹ 76.50

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222. A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?

1. 1. 25%

   
   
   

   2. 26.4 %

   
   
   

   3. 24.8%

   
   
   

   4. 30%

   
   
   

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1. View Hint View Answer Discuss in Forum

   SP = 17940, Discount = 8%
   

   ∴  MP =	17940	= ₹ 19500
   	0.92

   
   ∴  Gain = 19.6% (given)
   

   ∴  CP =	17940	= ₹ 15000
   	1.196

   
   New SP without discount = ₹ 19500
   Gain = (19500 – 15000) = ₹ 4500
   

   ∴  Gain per cent =	4500	× 100 = 30%
   	15000

   Correct Option: D

   SP = 17940, Discount = 8%
   

   ∴  MP =	17940	= ₹ 19500
   	0.92

   
   ∴  Gain = 19.6% (given)
   

   ∴  CP =	17940	= ₹ 15000
   	1.196

   
   New SP without discount = ₹ 19500
   Gain = (19500 – 15000) = ₹ 4500
   

   ∴  Gain per cent =	4500	× 100 = 30%
   	15000

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223. If the simple interest on a certain sum is due for some years at 6 % is ₹180, and the discount at 5 % on the same amount is ₹140. Find the sum and the time.

1. 1. ₹ 2100 and 1	3	Year
      	7

   
   
   

   2. ₹ 2200 and 2	3	Year
      	7

   
   
   

   3. ₹ 2000 and 2	3	Year
      	7

   
   
   

   4. ₹ 2300 and 1	3	Year
      	7

   
   
   

   5. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given :- Simple Interest = ₹180 , Rate = 6%
   

   Banker 's Discount or Simple Interest at 5% =	180 × 5	= ₹ 150
   	6

   
   Banker 's Discount = ₹ 150
   True Discount at 5% = ₹140.
   

   Sum Due =	Banker 's Discount × True Discount	=	150 × 140	= ₹ 2100
   	Banker 's Discount - True Discount		150 - 140

   ∴ Time =	Interest × 100	years
   	Sum due × Rate

   Correct Option: A

   Given :- Simple Interest = ₹180 , Rate = 6%
   

   Banker 's Discount or Simple Interest at 5% =	180 × 5	= ₹ 150
   	6

   
   Banker 's Discount = ₹ 150
   True Discount at 5% = ₹140.
   

   Sum Due =	Banker 's Discount × True Discount	=	150 × 140	= ₹ 2100
   	Banker 's Discount - True Discount		150 - 140

   ∴ Time =	Interest × 100	years
   	Sum due × Rate

   
   

   Time =	180 × 100	= 1	3	Year
   	2100 × 6		7

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224. A trader marks his goods 40% above cost price and allows a discount of 25 %. The profit he makes, is :

1. 1. 15%

   
   
   

   2. 10 %

   
   
   

   3. 5 %

   
   
   

   4. 2 %

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price be ₹ 100.
   Marked price = ₹ 140
   

   S.P.=	75 × 140	= ₹ 105
   	100

   
   ∴  Profit percent = 5%
   2nd method to solve this question.
   Here, r = 40%, r₁ = 25%
   

   Profit % =	r ×(100 − r1)	− r1
   	100

   
   

   Correct Option: C

   Let the cost price be ₹ 100.
   Marked price = ₹ 140
   

   S.P.=	75 × 140	= ₹ 105
   	100

   
   ∴  Profit percent = 5%
   2nd method to solve this question.
   Here, r = 40%, r₁ = 25%
   

   Profit % =	r ×(100 − r1)	− r1
   	100

   
   

   =	40 × (100 − 25)	− 25
   	100

   
   

   =	40 × 75	− 25
   	100

   
   

   =	3000	− 25
   	100

   
   Profit % = 30 – 25 = 5%
   

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225. Maha Bazaar offers 20% discount on bags which have been marked 50% above the cost price. Amarnath pays ₹ 840 for a bag. Then the cost price of the bag is

1. 1. ₹ 672

   
   
   

   2. ₹ 700

   
   
   

   3. ₹ 790

   
   
   

   4. ₹ 810

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the cost price be ₹ 100.
   ∴  Marked price = ₹ 150
   

   S.P. =	150 × 80	= ₹ 120
   	100

   
   when S.P. = 120, C.P. = 100
   when S.P. = 840
   

   C.P. =	100	× 840 = ₹ 700
   	120

   
   2nd method to solve this question.
   Here, r = 50%, r₁ = 20%,
   S.P. = ₹ 840
   

   Gain % =	r ×(100 − r1)	− r1
   	100

   
   

   Correct Option: B

   Let the cost price be ₹ 100.
   ∴  Marked price = ₹ 150
   

   S.P. =	150 × 80	= ₹ 120
   	100

   
   when S.P. = 120, C.P. = 100
   when S.P. = 840
   

   C.P. =	100	× 840 = ₹ 700
   	120

   
   2nd method to solve this question.
   Here, r = 50%, r₁ = 20%,
   S.P. = ₹ 840
   

   Gain % =	r ×(100 − r1)	− r1
   	100

   
   

   Gain % =	50 × (100 − 20)	− 20
   	100

   
   

   Gain % =	50 × 80	− 20
   	100

   
   Gain % = 20%
   We know that ,
   

   Gain % =	S.P. − C.P.	× 100
   	C.P.

   
   

   20 =		840 − p		× 100
   		p

   
   20p= 84000 – 100p
   120p = 84000
   p = 700
   ∴  C.P. = ₹ 700
   

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