What will Rs. 10000 amount to in 4 years to in 4 years after its depos (2024)

Original sum = Rs. 10000.
Amount after 1 year = Rs. 10000+Rs.(10000×10100×1)=Rs.11000,
amount after 2 years =Rs.11000+Rs.11000+Rs.(11000×10100×1)=Rs.12100,
amount after 3 years =Rs.12100+Rs.(12100×10100×1)=Rs.13310,
and so on.
Thus, these amounts from a GP
10000,11000,12100,13310,...
such that 1100010000=1210011000=1331012100=1110.
In this GP, we have a=10000,r=1110.
Amount after 4 years =T5=ar(5−1)=ar4
=Rs.[10000×(1110)4]=Rs.14641.
Hence, the amount after 4 years is Rs. 14641.
Alternative method
Here, P=Rs.10000,R=10%p.a.andT=4 years.
∴ amount after 4 years =Rs.{P×(1+R100)T}
=Rs.{10000×(1+10100)4}
=Rs.{10000×(1110)4}=Rs.14641.
Hence, the amount after 4 years is Rs. 14641.

What will Rs. 10000 amount to in 4 years to in 4 years after its depos (2024)
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