Kanika was given her pocket money on 1st January 2016.She puts Rs.1 on Day1, Rs 2 on Day2 Rs3 on Day3 and continued on doing so till the end of the month, from this money into her piggy bank . She also spent Rs.204 of her pocket money , and was found that at the end of the month she still has Rs.100 with her.How much money was her pocket money for the month.PLEASE DO IT .IT'S URGENT! !!!!
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In a month of Jan , there are 31 days
First term = 1 , Difference = 1
Sum = n / 2 [ 2a + (n - 1)d]
Sum = 31 / 2 [ 2 * 1 + (31 - 1)(1) ]
Sum = 31 / 2 [ 2 + 30 ]
Sum = (31 / 2) * 32
Sum = 31 * 16
Sum = 496
Now this Rs 496 has been put into piggy bank from the pocket money
Let the pocket money be x , also she spent Rs 204 ,Amount Remaining = 100
So , x - 496 - 204 = 100
x - 700 = 100
x = 800
Ans: Rs 800
@skb
First term = 1 , Difference = 1
Sum = n / 2 [ 2a + (n - 1)d]
Sum = 31 / 2 [ 2 * 1 + (31 - 1)(1) ]
Sum = 31 / 2 [ 2 + 30 ]
Sum = (31 / 2) * 32
Sum = 31 * 16
Sum = 496
Now this Rs 496 has been put into piggy bank from the pocket money
Let the pocket money be x , also she spent Rs 204 ,Amount Remaining = 100
So , x - 496 - 204 = 100
x - 700 = 100
x = 800
Ans: Rs 800
@skb
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