What sum will become ₹4913 in 3/2 years, if the rate of interest is 25/2 per annum compounded half-yearly.
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Answer:
4096 Rs.
Step-by-step explanation:
The interest rate is 25/2% per year or 25/4% per 6 months.
Let us assume that x Rs. is used at 25/4% per 6 months interest compounded after every 6 months for 3/2 years i.e. 18 months to become 4913 Rs.
So, we can write, 4913=x[1+25/(4*100)]³ { Since, 3 six months period will be there in 18 months}
⇒ 4913 =x[1.0625]³
⇒4913 = x[1.199]
⇒x=4096 Rs.
Hence the sum of money was 4096 Rs. (Answer)
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