A man saves RS 50 in his month of work .Thereafter he saves Rs 5 more in each succeeding month. how long does it take him to save Rs 725?
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Answer:
10 months
Explanation:
First month (a) = 50
2nd month = 55
and so on
Common difference = 5
Let in n months the sum becomes 725
n/2 { 2a + (n-1) d} = 725
n {2* 50 + (n - 1) * 5 }=1450
n(100+ 5n-5) = 1450
5n² + 95 n - 1450 = 0
n²+19n - 290 = 0
(n +29) ( n-10) = 0
so n = 10 but n ≠ -29
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