Question
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 afterSolution
As we know, Amount = P + Prt/100 According to the question Q + (Q × y × t)//100 = P + (P × x × t)/100 ⇒ 100Q + Qyt = 100P + Pxt ⇒ Pxy - Qyt = 100Q - 100P ⇒ t (Px - Qy) = 100 (Q - P) ⇒ t = 100 {(Q - P)/(Px - Qy)} years
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