A sum of money at simple interest amounts to rs 2240 in 2 years and rs 2600 in 5 years. Find the suma and the rate of interest.

Hi, 
S.I for 3 years = Rs. (2600 - 2240) = Rs . 360
S.I for 2 years = Rs. (360/3 x 2) = Rs. 240
∴ Required sum = Rs . (2240 - 240) = Rs. 2000
Now we know that SI  = Prt100, where P is principal, r is rate and t is timeTaking SI for two year , t  = 2 and P = 2000 and SI= 240 so r = SI×100Pt=  240 ×100 2000×2=6 % 

​Regards

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