Mr. Rashid has saved Taka 1,200 from his month’s salary. he planes to increase his monthly saving by taka 100 in every following month. How much time would it take to save Taka 1,06,200?

Created: 3 months ago | Updated: 3 months ago

Job Solution Rajshahi Krishi Unnayan Bank Rajshahi Krishi Unnnayan Bank Ltd Recruitment Test for Office ( Written ) 2017 Examination Held: 15.08.2017 || 2017 গণিত

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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 = $\frac{n}{2} \{2 a (n - 1) d\}$

According to the question,

$\frac{n}{2} \{2 a (n - 1) d\} \Rightarrow \frac{n}{2} \{2 \times 1200 + 100 (n - 1)\} = 106200 \Rightarrow n (1200 + 50 n - 50) = 106200 \Rightarrow 1200 n + 50 n^{2} - 50 n = 106200 \Rightarrow 50 n^{2} + 1150 n = 106200 \Rightarrow n^{2} + 23 n = 2124 \Rightarrow n^{2} + 59 n - 36 n - 2124 = 0 \Rightarrow n (n + 59) - 36 (n + 59) = 0 \Rightarrow (n + 59) (n - 36) = 0 \Rightarrow n = 36 O r, n = - 59$

(Time ie: n cannot be negative)

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

3 months ago

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Mr. Rashid has saved Taka 1,200 from his month’s salary. he planes to increase his monthly saving by taka 100 in every following month. How much time would it take to save Taka 1,06,200?

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