Question : Rs. 6000 was to be divided among P, Q, and R in the ratio of 5 : 7 : 8. By mistake it was divided among P, Q, and R in the ratio of 9 : 7 : 4. What amount R has lost in the division?
Option 1: Rs. 900
Option 2: Rs. 600
Option 3: Rs. 300
Option 4: Rs. 1200
Correct Answer: Rs. 1200
Solution :
Let the share of P, Q, and R during the 1st division be $5x,7x$, and $8x$ respectively.
The sum = Rs. 6000
Now, $5x+7x+8x=6000$
⇒ $x=300$
Share of R = $8x=8\times300=2400$
Again,
Let the share of P, Q, and R during the 2nd division be $9x,7x$, and $4x$ respectively.
The sum = Rs. 6000
Now, $9x+7x+4x=6000$
⇒ $x=300$
Share of R = $4x=4\times300=1200$
Loss = 2400 – 1200 = 1200
Hence, the correct answer is Rs. 1200.
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