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.

Question

Philoid · Accepted 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