if the simple interest on a sum of money lent at 6.5%p.a. for 1year11months is Rs897,find the sum of money

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Solution

$Let the sum of money = Rs P Rate, R = 6.5 % p . a . Time, T = 1 yr 11 months = 1 \frac{11}{12} = \frac{23}{12} yrs Interest = \frac{PRT}{100} \Rightarrow 897 = \frac{P \times 6.5 \times 23}{12 \times 100} \Rightarrow 897 = \frac{P \times 65 \times 23}{12000} \Rightarrow P = \frac{12000 \times 897}{65 \times 23} = \frac{10764000}{1495} = 7200 So, required sum = Rs 7200$

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if the simple interest on a sum of money lent at 6.5%p.a. for 1year11months is Rs897,find the sum of money

Let the sum of money = Rs PRate, R = 6.5% p.a.Time, T = 1 yr 11 months = 11112 = 2312 yrsInterest = PRT100⇒897 = P×6.5 × 2312 × 100⇒897 = P × 65 ×2312000⇒P = 12000×89765×23 = 107640001495 = 7200So, required sum = Rs 7200