divide rupees 7000 amount a ,b and c such that A gets 50% of what B get and B get 50% of what c gets.
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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
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