Question

find the money which when invested for 1.5 years and compounded annually at ths rate of 8% per annum ,amount to RS 175.37

Answer 1

Hey!! ☺

Here is your answer

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let the required money be ' ₹ p '

amount = ₹ 175.37, rate = 8% per annum

time (t) = 1.5yrs = 1 yr + 0.5yr

t = t1 + t2 , let t1 = 1 yr and t2 = 0.5yr

Find the amount :

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amount

= p [ 1 + (r/ 100 ) ]^t1 × [1 + ( t2r/ 100 ) ]

= p [1 + ( 8/ 100) ]^1 × [ 1 + ( 0.5×8 /100 ) ]

= p ( 108 /100) × (104/100 )

= p (54/ 50)×( 52 / 50 )

= p( 27/25) × ( 26/25 )

= ₹ 702p / 625

according to the given statement:

amount = ₹175.37

702p / 625 = 175.37

702p = 175.37 × 625

702p=109606.25

p = 109606.25 ÷ 702

p = ₹ 156.13

therefore,

the required money that he invested=₹156.13

Answer : ₹156.13

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Thanks!! ✌