Question : INR 2,300 is to be divided among P, Q, R and S in such a way that the ratio of P : Q : R : S is 2 : 6 : 9 : 6, respectively. What is the sum of the shares of P and S?
Option 1: INR 1,100
Option 2: INR 1,200
Option 3: INR 800
Option 4: INR 230
Correct Answer: INR 800
Solution :
Given: The total sum = INR 2300
Let the share of P, Q, R and S be $2x,6x,9x$ and $6x$
According to the question,
$2x+6x+9x+6x=2300$
⇒ $23x=2300$
⇒ $x=100$
The sum of shares of P and S $=2x+6x=8x=8\times100= 800$
Hence, the correct answer is INR 800.
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