Question : The ratio of P, Q, and R is 2 : 5 : 7 respectively. If their sum is 840, then what is the difference between P and R?
Option 1: 300
Option 2: 380
Option 3: 200
Option 4: 260
Correct Answer: 300
Solution :
Given: The ratio of P, Q, and R is 2 : 5 : 7 respectively.
Their sum is 840.
Let the required number be $2x$, $5x$ and $7x$ respectively.
According to the question,
⇒ $2x+5x+7x=840$
⇒ $14x=840$
⇒ $x=60$
The difference between P and R $=7x-2x=5x=5\times 60=300$
Hence, the correct answer is 300.
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