Question

The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is $3:4$. Rajeev drank $40$mL of the water from Bottle P and the ratio then became $13:20$. How much water was there in bottle P at first?

• A. $60$mL
• B. $80$mL
• C. $300$mL
• D. $400$mL

Answer 1

The correct option is C $300$mL

Let the quantity of water in bottle $P=3x$ and that of in bottle $Q=4x$.
According to question,
$\Rightarrow 20(3x-40)=4x\times 13$
$\Rightarrow 60x-800=52x\Rightarrow 8x=800\Rightarrow x=100$
So, quantity of water in bottle $P=3\times 100$
$=300$mL.