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Find the money which when invested for 1.5 years and compounded half yearly at the rate of 8% per annum, amounts to ₹175.37
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Let the required money be '₹p'
Amount = ₹ 175.37 & rate = 8 % per annum
time (t) = 1.5 yrs = 1 year + 0.5 year
t = t1+t2, let t1 = 1 year & t2 = 0.5 year
To find the amount
➡ p[1+ (r/100) ]^t1 × [ 1 + (t2/100) ]
➡ p [1 + ( 8/ 100) ]^1 × [ 1 + ( 0.5×8 /100 ) ]
➡ p (108/100) ×(104/100)
➡ p(27/25) ×(26/25)
➡ ₹702p/625
by the given statement,
the amount =₹175.37
➡702p/625 = 175.37
➡702p = 175.37 ×625
➡702p = 109606.25
➡ p = 109606.25/702
➡ p = 156.13
Therefore, the amount is ₹156.13
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Step-by-step explanation:
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