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Maths Puzzle
If a person starts contributing certain amount(rs.) daily and adds Rs 2 more to its previous day's contribution. After 25 days, his total contribution is Rs. 675,With what amount he started on day one ?
Read Solution (Total 2)
-
- Initial amount on day 1= Rs 3.
If initial amount is 'a', then
675= (25/2)*(2a +(25-1)*2)= (25/2)*(2a +48)
2a+48= 675*2/25=54
2a=6
a=3 - 11 years agoHelpfull: Yes(6) No(2)
- Let first day's contri be Rs x.
Then,
Total contri will be
x+(x+2)+(x+4)+.....upto 25days
=25x+(2+4+....24terms)
=25x+Sum of 24 terms in an AP where a=2 and n=24 and d=2
=25x+(n/2)(2a +(n-1)d)
=25x+(24/2)(2*2 + (24-1)*2)
=25x+600
and dis is given as Rs 675
Therefore,
25x+600=675
which results in x=3.
Therefore, The person started with Rs 3 on day one - 11 years agoHelpfull: Yes(5) No(4)
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