Divide ₹7000 Among A B and C Such That A Gets 50% Of What B Gets And B Gets 50% Of What C Gets

Given: 7000 Rs is divided among A, B, and C in such a way that A gets 50% of what B gets and B gets 50% of what C gets.

To find: We have to find how much did A, B, and C gets individually.

Solution: 

Let the amount C gets = a

So, the amount B gets = 50% of a = $\frac{a}{2}$

And, the amount A gets = 50% of a/2 = $\frac{a}{4}$

Now,

a + $\frac{a}{2}$ + $\frac{a}{4}$ = 7000

=> $\frac{4a\ +\ 2a\ +\ a}{4} \ =\ 7000$

=> $\frac{7a}{4} \ =\ 7000$

=> $a\ =\ 7000\ \times \ \frac{4}{7}$

=> a = 4000

Therefore,

The amount A gets = $\frac{a}{4} \ =\ \frac{4000}{4} \ =\ 1000$

The amount B gets = $\frac{a}{2} \ =\ \frac{4000}{2} \ =\ 2000$

The amount C gets = a = ₹ 4000

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Updated on: 10-Oct-2022

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