Question

Divide Rs. 1575 between Kamal and Madhu in the ratio 7:2.

Answer 1

Hint: Assume that the ratio in \[x\] . The share in the amount of Kamal and Madhu is Rs. \[7x\] and Rs. \[2x\] respectively. Since the amount of Rs. 1575 to be distributed between Kamal and Madhu, summation of the share in amount of Kamal and Madhu must be equal to Rs. 1575. Now, solve it further and get the value of \[x\] . Use the value of \[x\] and get the share in the amount of Kamal and Madhu.

Complete step by step answer:
According to the question, we are given an amount and there are two persons Kamal and Madhu in the ratio 7:2.
The amount to be distributed = Rs. 1575 …………………………………….(1)
The ratio in which the amount to be distributed = 7:2 …………………………………………(2)
Let us assume that the ratio is in \[x\] .
Now,
The share in amount of Kamal = Rs. \[7x\] ………………………………………………(4)
The share in amount of Madhu = Rs. \[2x\] ………………………………………………(5)
Since the amount of Rs. 1575 to be distributed between Kamal and Madhu so, summation of the share in amount of Kamal and Madhu must be equal to Rs. 1575 ……………………………………………(6)
From equation (4), equation (5), and equation (6), we get
\[\begin{align}
  & \Rightarrow 7x+2x=1575 \\
 & \Rightarrow 9x=1575 \\
 & \Rightarrow x=\dfrac{1575}{9} \\
\end{align}\]
\[\Rightarrow x=175\] ……………………………………………….(7)
Now, from equation (4) and equation (7), we get
The share in amount of Kamal = Rs. \[7\times 175\] = Rs. 1225 ………………………………………….(8)
Similarly, from equation (5) and equation (7), we get
The share in amount of Madhu = Rs. \[2\times 175\] = Rs. 350 ………………………………………….(9)

Therefore, the share in amount of Kamal and Madhu is Rs. 1225 and Rs. 350 respectively.

Note: Whenever this type of question appears where some ratio is given. Approach this type of question, by assuming the ratio in \[x\] . Then use the other information provided in the question and get the value of \[x\] .