If A borrowed Rs. P at x% and B borrowed Rs. Q (> P) at

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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 amount of their debts will be equal after

Let amounts be equal in T years.
We can find the SI with the help of given formula ,

S.I =	Principal × Time × Rate
	100

∴ P +	P × x × T	= Q +	Q × y × T
	100		100

⇒	PxT	-	QyT	= Q - P
	100		100

⇒ T		Px - Qy		Q - P
		100

⇒ T = 100		Q - P
		Px - Qy

100		Q - P		Years
		Px - Qy

100		Px - Qy		Years
		Q - P

100		Px - Qy		Years
		P - Q

100		P - Q		Years
		Px - Qy