Question

If the simple interest on a sum of money lent at 6.5% pa. for 1 year and 11 months is 897.
find the sum of money.​

Answer 1

Given:-

Rate = 6.5% p.a.

Time = 1 year 11 months

= 1×12+11 months

= 12+ 11 months

= 23months

=$\frac{23}{12}$years

S.I. = Rs. 897

To Find:-

• Sum of money (Principal)

Solution:-

We know,

P =$\frac{SI\times100}{R\times T}$

P = $\frac{897\times100}{6.5\times\frac{23}{12}}$

P = $\frac{897\times100\times12\times10}{65\times23}$ (12 gets reciprocated)

P =$\frac{10764000}{1495}$

P = Rs. 7200 ${\boxed{\large{Answer}}}$

Therefore the sum of money is Rs. 7200

Answer 2

Answer:

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