Question

A total amount of rs. 1560is to be divided among a, b, and c such that a gets 50 percent of what b gets and b gets 20percent of what c gets. How much will each of them get?

Answer 1

let the percent that C gets be X
.: B gets 20% of X
similarly A gets 50% of the 20 % of X= 10% of X
but they get a total of Rs1560

.: X +20% of X + 10% of X= 1560
.: X +20/100 X + 10/100 X= 1560
.: (100X+20X+10X)/100 = 1560.
(EQUATING THE DENOMINATORS)
.: 130X = 1560 ×100
.: 130X=156000
.: X=156000/130 = 1200
.: X= Rs1200
.: C gets Rs 1200

but B gets 20%of X
.: B gets = (20/100) X
= 0.2 × 1200
= Rs240

Similarly A gets 10%of X=(10/100) 1200
= Rs 120

ANSWER
A gets Rs 120. B gets Rs 240. C gets Rs 1200