SSC CGL 2016 PYQ — Question 48

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q48

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

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 

Application

SI = (P × T × R)/100

P + (P × x × T)/100 = Q + (Q × Y × T)/100

= (PxT/100) - (QyT/100) = Q - P

= T[(Px - Qy)/100]Q-P

= 100[(Q - P)/(Px - Qy)].