# 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

Expert Answer

According to teh question the series is

1, 2, 3, 4, .....31

a = 1, d = 1

S

_{n}= n/2 (a + t_{n})S

_{31}= 31/2 (1 + 31)S

_{31}= 496Piggy 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, 01:46: PM

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