Divide Rs. 7000 among A, B and C such that A gets 50% of what B gets a

1.	Divide Rs. 7000 among A, B and C such that A gets 50% of what B gets and B gets 50% of what C gets.
Answer» Let the amount of money gets by C = Rs. Z ∴ Amount of money B gets = (50% of Rs.Z) ∴ Amount of money A gets = (50% of B) = (25% of Rs.Z) Now, Z + (50% of Rs.Z) + (25% of Rs.Z) = RS.7000 ⇒ Z + (Z × 50/100) + (Z × 25/100) = 7000 ⇒ Z + 50 Z/100 + 25 Z/100 = 7000 ⇒ 175 Z/100 = 7000 ⇒ Z = 7000 × 100/175 ⇒ Z = 7000 × 4/7 ⇒ Z = 4000 ∴ C gets = Rs.4000 ∴ Amount of money B gets = (50% of Rs.Z) = (50% of Rs.4000) = (Rs.4000 × 50/100) = Rs.2000 ∴ Amount of money A gets = (25% of Rs.Z) = (25% of Rs.4000) = (Rs.4000 × 25/100) = Rs.1000

Divide Rs. 7000 among A, B and C such that A gets 50% of what B gets and B gets 50% of what C gets.

Answer»

Let the amount of money gets by C = Rs. Z

∴ Amount of money B gets = (50% of Rs.Z)

∴ Amount of money A gets = (50% of B)

= (25% of Rs.Z)

Now,

Z + (50% of Rs.Z) + (25% of Rs.Z) = RS.7000

⇒ Z + (Z × 50/100) + (Z × 25/100) = 7000

⇒ Z + 50 Z/100 + 25 Z/100 = 7000

⇒ 175 Z/100 = 7000

⇒ Z = 7000 × 100/175

⇒ Z = 7000 × 4/7

⇒ Z = 4000

∴ C gets = Rs.4000

∴ Amount of money B gets

= (50% of Rs.Z)

= (50% of Rs.4000)

= (Rs.4000 × 50/100)

= Rs.2000

∴ Amount of money A gets

= (25% of Rs.Z)

= (25% of Rs.4000)

= (Rs.4000 × 25/100)

= Rs.1000