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Rs 2500 is distributed amongst A, B and C in such a way that c's share is one-fourth of A and B's share and B's share is 90% of A's share.What is c's share?

I am weak in math.Please,solve it in such a way that it can be easily understandable to me.

Thanks.

"Rs 2500 is distributed amongst A, B and C"

a+b+c = 2500

"B's share is 90% of A's share"

b = 0.90a

"C's share is one-fourth of A and B's share"

c = 0.25(a+b)

= 0.25(a+0.90a)

= 0.25(1.90a)

= 0.475a

a + 0.90a + 0.475a = 2500

a = 20,000/19

b = 0.90a = 18000/19

c = 0.25(a+b)

= 0.25(2000)

= Rs 500

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