If A borrowed Rs. P at x% and B borrowed Rs. Q (>P) at y% per annum at simple interest at the same time, then the amountof their debts will be equal after

A

$$ 100 \left (\frac{Q - P}{Px - Qy}\right) years $$

B

$$ 100 \left (\frac{Px - Qy}{ Q - P}\right) years $$

C

$$ 100 \left (\frac{Px - Qy}{ P - Q}\right) years $$

D

$$ 100 \left (\frac{P - Q}{Px - Qy}\right) years $$