A sum of money is divided among A, B, and C in the ratio 4 ∶ 3 ∶ 6. If the share of C is ₹600 more than B, then how much amount will A get more than B?
₹200
To find out how much more money A gets than B, we can work directly with the parts of the ratio.
The money is divided among A, B, and C in the ratio:
$$\text{A} : \text{B} : \text{C} = 4 : 3 : 6$$
Let the common multiplier for the shares be $x$. This means:
A's share = $4x$
B's share = $3x$
C's share = $6x$
We are told that C's share is ₹600 more than B's share.
$$\text{C's share} - \text{B's share} = ₹600$$
$$6x - 3x = 600$$
$$3x = 600$$
$$x = 200$$
We need to find the difference between A's share and B's share:
$$\text{Difference} = \text{A's share} - \text{B's share}$$
$$\text{Difference} = 4x - 3x = 1x$$
Since we already know that $1x = 200$:
$$\text{Difference} = ₹200$$
A will get ₹200 more than B.
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