Question 14 Marks
A sum of Rs. $10, 500$ is divided among A, B and C in the ratio $5 : 6 : 4.$ Find the share of each.
Answer
View full question & answer→$\text { Total amount }=\text { Rs. } 10,500 $
$\text { Ratio in A, B, and C }=5: 6: 4 $
$\text { Sum of ratio }=5+6+4=15 $
$\therefore \text { A's share }=\text { Rs. } \frac{10500}{15} \times 5 $
$=\text { Rs. } 700 \times 5 $
$=\text { Rs. } 3500 $
$\text { B's share }=\text { Rs. } \frac{10500 \times 6}{15} $
$=\text { Rs. } 700 \times 6 $
$=\text { Rs. } 4200 $
$\text { and C's share = Rs. } \frac{10500 \times 4}{15} $
$=\text { Rs. } 700 \times 4 $
$=\text { Rs. } 2800$
$\text { Ratio in A, B, and C }=5: 6: 4 $
$\text { Sum of ratio }=5+6+4=15 $
$\therefore \text { A's share }=\text { Rs. } \frac{10500}{15} \times 5 $
$=\text { Rs. } 700 \times 5 $
$=\text { Rs. } 3500 $
$\text { B's share }=\text { Rs. } \frac{10500 \times 6}{15} $
$=\text { Rs. } 700 \times 6 $
$=\text { Rs. } 4200 $
$\text { and C's share = Rs. } \frac{10500 \times 4}{15} $
$=\text { Rs. } 700 \times 4 $
$=\text { Rs. } 2800$