Question

Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get?

Answer 1

We know that the total money to be shared is = Rs 3500

Let us consider third person get = Rs x

So, second person gets (50% of third) = 50% of x

= 50/100 × x

= Rs x/2

Now, first person gets (50% of second) = 50% of x/2

= 50/100 × x/2

= Rs x/4

We know that,

x/4 + x/2 + x = 3500

by taking 4 as LCM

(x+2x+4x)/4 = 3500

By cross multiplying

x+2x+4x = 3500 × 4

7x = 14000

x = 14000/7

= 2000

∴ Each of the person gets,

First person (x/4) gets = x/4 = 2000/4 = Rs 500

Second person (x/2) gets = x/2 = 2000/2 = Rs 1000

Third person (x) gets = x = Rs 2000