Question

Q6 Divide ₹3726 among A,B,C inthe ratio 1/3 : 1/4: 1/6 .

Q7 Divide ₹ 810 among A,B,C in the ratio 1/4: 2/5 : 12/8

Q8 Divide ₹ 1050 between Geeta and Renu in the ratio 8/3 : 20/3 .​

Answer 1

6-Sum of ratios =

$\begin{gathered} \frac{1}{3} + \frac{1}{4} + \frac{1}{6} \\ \frac{4 + 3 + 2}{12} \\ \frac{9}{12} \end{gathered}$

Share of A =

$\begin{gathered} = \frac{ \frac{1}{3} }{ \frac{9}{12} } \times 3726 \\ = \frac{1}{ \frac{9}{4} } \times 3726 \\ = \frac{4}{9} \times 3726 \\ = 4 \times 414 \\ = 1656\end{gathered}$

Share of B =

$\begin{gathered} = \frac{ \frac{1}{4} }{ \frac{9}{12} } \times 3726 \\ = \frac{1}{ \frac{9}{3} } \times 3726 \\ = \frac{3}{9} \times 3726 \\ = 3 \times 414 \\ = 1242\end{gathered}$

Share of C =

$\begin{gathered} = \frac{ \frac{1}{6} }{ \frac{9}{12} } \times 3726 \\ = \frac{1}{ \frac{9}{2} } \times 3726 \\ = \frac{2}{9} \times 3726 \\ = 2 \times 414 \\ = 828\end{gathered}$

7-in image

8-Given as, geetha and renu amount is in the ratio of 8 /3 : 20/ 3 ,i.e., 2:5

So,

=> 2X + 5X = 1050

=> 7X = 1050

=> X = 150

Geetha has amount 2X= 2× 150 = ₹ 300

Renu has amount 5X= 5× 150 = ₹ 750