416. Rohit sold his car at 10% below the cost price to Amit. Amit got the car repaired and spent Rs. 5,000. He then sold the car to Rajesh at 20% above the total cost, which is equal to Rs. 1,00,000. Find the original price of the car (nearest to hundred).

1. 1. Rs. 93,000

   
   
   

   2. Rs. 83,000

   
   
   

   3. Rs. 87,000

   
   
   

   4. Rs. 97,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose Original price of car = Rs. y
   

   C.P. of car for Amit =	90 × y	= Rs.	9y
   	100		10

   
   

   Actual C.P. = Rs.			9y	+ 5000
   			10

   
   According to the question,
   

   			9y	+ 5000		×	120	= 100000
   			10				100

   
   

   ⇒	9y	+ 5000	=	100000 × 100	≈ 83300
   	10			120

   
   
   

   Correct Option: C

   Suppose Original price of car = Rs. y
   

   C.P. of car for Amit =	90 × y	= Rs.	9y
   	100		10

   
   

   Actual C.P. = Rs.			9y	+ 5000
   			10

   
   According to the question,
   

   			9y	+ 5000		×	120	= 100000
   			10				100

   
   

   ⇒	9y	+ 5000	=	100000 × 100	≈ 83300
   	10			120

   
   

   ⇒	9y	≈ 83300 - 5000 ≈ 78300
   	10

   
   

   ⇒ y ≈	78300 × 10	≈ Rs. 87000
   	9

   
   

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417. A fruit seller buys 240 apples for Rs. 600. Some of these apples are bad and are thrown away. He sells the remaining apples at Rs. 3.50 each and makes a profit of Rs.198. The percent of apples thrown away are

1. 1. 6%

   
   
   

   2. 8%

   
   
   

   3. 5%

   
   
   

   4. 7%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , C.P. of 240 apples = Rs. 600.
   

   C.P. of an apple =	600	= Rs. 2.5
   	240

   
   S.P. of an apple = Rs. 3.5
   Total profit = Rs. 198
   Total S.P. = Rs. (600 + 198) = Rs. 798
   

   ∴ Number of apples sold =	798	= 228
   	3.5

   
   ∴ Bad apples = 240 – 228 = 12
   

   Correct Option: C

   Here , C.P. of 240 apples = Rs. 600.
   

   C.P. of an apple =	600	= Rs. 2.5
   	240

   
   S.P. of an apple = Rs. 3.5
   Total profit = Rs. 198
   Total S.P. = Rs. (600 + 198) = Rs. 798
   

   ∴ Number of apples sold =	798	= 228
   	3.5

   
   ∴ Bad apples = 240 – 228 = 12
   

   ∴ Required percent =	12	× 100 = 5 %
   	240

   
   

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418. A trader marks his goods 20% above cost price but allows his customers a discount of 10%, the cost price of a blackboard, which is sold for Rs. 216, is

1. 1. Rs. 196

   
   
   

   2. Rs. 180

   
   
   

   3. Rs. 200

   
   
   

   4. Rs. 108

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of article = Rs. 100
   ∴ Marked price = Rs. 120
   

   ∴ S.P. of article =	120 × 90	= Rs. 108
   	100

   
   ∵ If S.P. = Rs. 108,
   C.P. = Rs. 100
   ∴ If S.P. = Rs. 216,
   

   Correct Option: C

   Let C.P. of article = Rs. 100
   ∴ Marked price = Rs. 120
   

   ∴ S.P. of article =	120 × 90	= Rs. 108
   	100

   
   ∵ If S.P. = Rs. 108,
   C.P. = Rs. 100
   ∴ If S.P. = Rs. 216,
   

   C.P. =	100	× 216 = Rs. 200
   	108

   
   

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419. A merchant bought 200 eggs, out of which 38 eggs were broken. He sold the remaining eggs at the rate of Rs. 4.80 per dozen and thus gained 8%. His total investment is

1. 1. Rs. 80

   
   
   

   2. Rs. 60

   
   
   

   3. Rs. 45

   
   
   

   4. Rs. 120

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let. C.P. of 200 eggs be Rs. y,
   If 38 eggs are broken , then
   Remaining eggs = 200 – 38 = 162 eggs
   S.P. of remaining 12 eggs = Rs 4.80
   

   ∴ S.P. of remaining 162 eggs = Rs.	1	(162 × 4.80)
   	12

   
   

   = Rs.			777.6		= Rs. 64.8
   			12

   
   ∴ 108% of y = 64.8
   
   

   Correct Option: B

   Let. C.P. of 200 eggs be Rs. y,
   If 38 eggs are broken , then
   Remaining eggs = 200 – 38 = 162 eggs
   S.P. of remaining 12 eggs = Rs 4.80
   

   ∴ S.P. of remaining 162 eggs = Rs.	1	(162 × 4.80)
   	12

   
   

   = Rs.			777.6		= Rs. 64.8
   			12

   
   ∴ 108% of y = 64.8
   

   ⇒	y × 108	= 64.8
   	100

   
   

   ⇒ y =	64.8 × 100	= Rs. 60
   	108

   
   

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420. A milkman mixes water with milk and sells the mixture at the cost price of pure milk. The volume of water in litres to be mixed with each litre of milk to get a 25% profit is

1. 1. 	1
      	4

   
   
   

   2. 	1
      	5

   
   
   

   3. 1	1
      	4

   
   
   

   4. cannot be calculated without knowing the cost price of milk

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose C.P. of 1 litre of milk = $ 1
   S.P. of 1 litre of mixture = $ 1
   

   ∴ C.P. of 1 litre of mixture =	100	× 1 = $	4
   	125		5

   
   
   

   Milk : Water =	4	:	1	= 4 : 1
   	5		5

   
   Sum of the Ratios = 4 + 1 = 5
   

   Correct Option: B

   Suppose C.P. of 1 litre of milk = $ 1
   S.P. of 1 litre of mixture = $ 1
   

   ∴ C.P. of 1 litre of mixture =	100	× 1 = $	4
   	125		5

   
   
   

   Milk : Water =	4	:	1	= 4 : 1
   	5		5

   
   Sum of the Ratios = 4 + 1 = 5
   

   Volume of water mixed =	Ratio of water
   	Sum of the ratios

   
   

   Volume of water mixed =	1
   	5

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