186. ₹ 600 are divided among A, B and C so that ₹ 40 more than 2/5 of A’s share, ₹ 20 more than 2/7 of B’s share and ₹ 10 more than 9/17 of C’s share are all equal. A’s share is

1. 1. ₹ 180

   
   
   

   2. ₹ 160

   
   
   

   3. ₹ 150

   
   
   

   4. ₹ 140

   
   
   

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1. View Hint View Answer Discuss in Forum

   2	A + 40 =	2	B + 20	=	9	C + 10 = x
   5		7			17

   
   

   ∴  A =	5	(x − 40), B =	7	(x − 20) and, C =	17	(x − 10)
   	2		2		9

   
   

   ∴	5	(x − 40) +	7	(x − 20) +	17	(x − 10) = 600
   	2		2		9

   
   ⇒  x = 100
   

   ∴ A’s share = ₹	5	(100 – 40)
   	2

   
   = ₹ 150

   Correct Option: C

   2	A + 40 =	2	B + 20	=	9	C + 10 = x
   5		7			17

   
   

   ∴  A =	5	(x − 40), B =	7	(x − 20) and, C =	17	(x − 10)
   	2		2		9

   
   

   ∴	5	(x − 40) +	7	(x − 20) +	17	(x − 10) = 600
   	2		2		9

   
   ⇒  x = 100
   

   ∴ A’s share = ₹	5	(100 – 40)
   	2

   
   = ₹ 150

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187. ₹ 2010 are to be divided among A, B and C in such a way that if A gets ₹ 5 then B must get Rs. 12 and if B gets ₹ 4 then C must get ₹ 5.50. The share of C will exceed that of B by

1. 1. ₹ 620

   
   
   

   2. ₹ 430

   
   
   

   3. ₹ 360

   
   
   

   4. ₹ 270

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to the question,
   A : B = 5 : 12 = 10 : 24
   B : C = 4 : 5.50 = 24 : 33
   ∴  A : B : C = 10 : 24 : 33
   Sum of the ratios = 10 + 24 + 33 = 67
   Difference between the shares of C and B
   

   = ₹		33 − 24	× 2010
   		67

   
   

   = ₹		9	× 2010		= ₹ 270
   		67

   Correct Option: D

   According to the question,
   A : B = 5 : 12 = 10 : 24
   B : C = 4 : 5.50 = 24 : 33
   ∴  A : B : C = 10 : 24 : 33
   Sum of the ratios = 10 + 24 + 33 = 67
   Difference between the shares of C and B
   

   = ₹		33 − 24	× 2010
   		67

   
   

   = ₹		9	× 2010		= ₹ 270
   		67

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188. An amount of money is to be distributed among P, Q and R in the ratio of 2 : 7 : 9. The total of P’s and Q’s share is equal to R’s share. What is the difference between the shares of P and Q ?

1. 1. ₹ 5000

   
   
   

   2. ₹ 7500

   
   
   

   3. ₹ 9000

   
   
   

   4. Information inadequate

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the amount to be distributed be ₹ x.
   P : Q : R = 2 : 7 : 9
   Sum of the ratios = 2+7 + 9 = 18
   

   ∴  P =	2	× x =	x
   	18		9

   
   

   Q =	7	x
   	18

   
   

   R =	9x	=	x
   	18		2

   
   As given,
   

   x	+	7x	=	x
   9		18		2

   
   Thus, we get no conclusion.
   Amount should necessarily be known.

   Correct Option: D

   Let the amount to be distributed be ₹ x.
   P : Q : R = 2 : 7 : 9
   Sum of the ratios = 2+7 + 9 = 18
   

   ∴  P =	2	× x =	x
   	18		9

   
   

   Q =	7	x
   	18

   
   

   R =	9x	=	x
   	18		2

   
   As given,
   

   x	+	7x	=	x
   9		18		2

   
   Thus, we get no conclusion.
   Amount should necessarily be known.

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189. A sum of ₹ 370 is to be divided among A, B and C such that

     A’s Share	=	B’s Share	=	3	, A’s share (in rupees) is
     B’s Share		C’s Share		4

1. 1. 240

   
   
   

   2. 120

   
   
   

   3. 100

   
   
   

   4. 90

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   ∴ A’s share =	9	× ₹ 370
   	9 + 12 + 16

   
   = ₹ 90

   Correct Option: D

   
   

   ∴ A’s share =	9	× ₹ 370
   	9 + 12 + 16

   
   = ₹ 90

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190. A sum of ₹ 9000 is to be distributed among A, B and C in the ratio 4 : 5 : 6. What will be the difference
     between A’s and C’s shares?

1. 1. ₹ 600

   
   
   

   2. ₹ 1000

   
   
   

   3. ₹ 900

   
   
   

   4. ₹ 1200

   
   
   

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1. View Hint View Answer Discuss in Forum

   A’s share = 9000 ×	4
   	15

   
   = 600 × 4 = ₹ 2400
   

   C’s share = 9000 ×	6
   	15

   
   = 600 × 6 = ₹ 3600
   ∴  Difference = 3600 – 2400 = ₹ 1200

   Correct Option: D

   A’s share = 9000 ×	4
   	15

   
   = 600 × 4 = ₹ 2400
   

   C’s share = 9000 ×	6
   	15

   
   = 600 × 6 = ₹ 3600
   ∴  Difference = 3600 – 2400 = ₹ 1200

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