at what rate percent per annum will a sum of Rs 31250 become a 31 152 in 3/2 to years while the interest compounded half-yearly find the rate of interest annually
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Answer:
Arpana Wali
Grade 11
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Explanation :
Suppose rate of interest is x
Here its compounded half yearly for 1.5 years
Amount = Principal(1+x/100)(1+x/100)(1+x/100)
31250 = 35152(1+x/100)(1+x/100)(1+x/100)
15625/17576 = (1+x/100)(1+x/100)(1+x/100)
25/26 = 1+x/100
x/100 = 25/26 - 1 = 1/25
x = 4%
Answer : 4% rate of interest
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