Question

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 1

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