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Question

Mathematics Question on Sequences and Series

A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15th year since he deposited the amount and also calculate the total amount after 20 years.

Answer

It is given that the man deposited Rs 10000 in a bank at the rate of 5% simple interest annually.
∴ Interest in first year =5100×Rs10000=Rs500 \frac{5 }{ 100 }× Rs\,\, 10000 = Rs \,\,500
∴Amount in 15th year = Rs 10000+500+500+....+500140000 + 500 + 500 + .... + 500 → 14 times
= Rs 10000 + 14 × Rs 500
= Rs 10000 + Rs 7000
= Rs 17000
Amount after 20 years = Rs 10000+500+500+...+5002010000 + 500 + 500 + ... + 500 → 20 times
= Rs 10000 + 20 × Rs 500
= Rs 10000 + Rs 10000
= Rs 20000