Question 20

₹ 11,550 has to be divided between A, B and C such that A gets $$\frac{4}{5}$$ of what B gets and B gets $$\frac{2}{3}$$ of what C gets. How much more does C get in comparison to A (in ₹)?

Solution

Let A receives ₹a, B receives ₹b, C receives ₹c.

From the question, it can be inferred,

$$\dfrac{a}{b}=\dfrac{4}{5}$$

Also, $$\dfrac{b}{c}=\dfrac{2}{3}$$

We can write $$\dfrac{a}{b}=\dfrac{8}{10},\dfrac{b}{c}=\dfrac{10}{15}$$

So, a:b:c = 8:10:15

Let a= 8x, b=10x, c=15x

Now, a+b+c=11550

So, 8x+10x+15x=11550

or, 33x=11550

or, x=350

Now, c-a = 15x-8x = 7x = 7*350 = ₹2450

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