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ICSE Class 10 Answered

Kanika was given her pocket money on 1st Jan 2016 .she puts ?1 on day 1,? 2on day 2 and ? 3 on day 3 and continued on doing so till the end of the month ,from this money into her piggy bank. She also spent ?204 of her pocket money and was found that at end of the month she still has ?100 with her . How much money  was her pocket money for the month?
Asked by Anmolrishiket | 30 Jan, 2019, 12:27: PM
answered-by-expert Expert Answer
According to teh question the series is
1, 2, 3, 4, .....31
a = 1, d = 1
Sn = n/2 (a + tn)
S31 = 31/2 (1 + 31)
S31 = 496
Piggy bank contains Rs. 496.
Let the pocket money has Rs. x. She spent Rs. 204, Remaining amount = Rs. 100
x - 496 - 204 = 100 
x = 800 
Kanika received Rs. 800 as pocket money.
Answered by Sneha shidid | 30 Jan, 2019, 13:46: PM
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