a certain sum amount to Rs 12960 at compound interest in 2 year and rs 13176 in 3year. find out the rate of interest per among.
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Rate of interest = 5/3 % or 1.67 % per annum if a certain sum amount to Rs 12960 at compound interest in 2 year and rs 13176 in 3year
Step-by-step explanation:
a certain sum amount to Rs 12960 at compound interest in 2 year and rs 13176 in 3year.
=> interest in 3rd year = 13176 - 12960 = 216 Rs
216 = 12960 * R * 1 /100
=> R = 2160/1296
=> R = 10/6
=> R = 5/3
Rate of interest = 5/3 % or 1.67 % per annum
Other method
Amount P
P(1 + R/100)² = 12960
P(1 + R/100)³ = 13176
=> (1 + R/100) = 13176/12960
=> R/100 = 13176/12960 - 1
=> R/100 = 216 /12960
=> R = 21600 /12960
=> R = 5/3
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