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Question

A sum of $$ Rs. 10,500 $$ is divided among A , B and C are in the ratio $$ 5 : 6 : 4 $$ . Find the share of each.

Solution
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Given
Amount divided among A , B and C in the ratio $$ = 5 : 6 : 4 $$
Total amount divided = $$ Rs. 10500 $$
Hence the sum of ratio can be calculated as below
Sum of ratio $$ = 5 + 6 + 4 $$
$$ = 15 $$
Hence the share of A , B and C can be calculated below
A's share = Rs. $$ \dfrac{10500}{15 \times 5} $$
$$ = 700 \times 5 $$
$$ = Rs. 3500 $$
B's share = Rs. $$ \dfrac{10500}{15 \times 6} $$
$$ = 700 \times 6 $$
$$ = 4200 $$
C's share = Rs. $$ \dfrac{10500}{15 \times 4} $$
$$ = 700 \times 4 $$
= Rs. $$ 2800 $$
Therefore the share of A, B and C are $$ Rs. 3500, Rs. 4200 $$ and $$ Rs. 2800 $$

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