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Let, it will take 'x' months to save 1,06,200 Tk. 

From the savings we get a series.

Such as 1200+ 1300 +1400+...........

Where, a = 1200 Tk & d=1,300 - 1,200 = 100 Tk

We know that, summation = n22an-1d

According to the question, 

n22an-1d⇒n22×1200+100n-1=106200⇒n1200+50n-50= 106200⇒1200n+50n2-50n=106200⇒50n2+1150n=106200⇒n2+23n=2124⇒n2+59n-36n-2124=0⇒nn+59-36n+59=0⇒n+59n-36=0⇒n=36 Or, n=-59 

(Time ie: n cannot be negative)

So, the required time = 36 months = 3 years ans. 

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