Question 8

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then their shares will be in the ratio of 5: 3: 4. What is the new share (in Rs) of C?

Solution

Let the ratio of new shares of A, B and C = 5 : 3 : 4

Total amount deducted to get new share = $$2489-(12+12+5)=Rs.$$ $$2460$$

Let amount with A, B and C be Rs. $$5x,3x$$ and $$4x$$ respectively.

=> $$5x+3x+4x=12x=2460$$

=> $$x=\frac{2460}{12}=205$$

$$\therefore$$ New share of C = $$4\times205=Rs.$$ $$820$$

=> Ans - (D)

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