Question

16. What sum of money lent out at 10per cent p.a. simple interest would produce ₹ 8500
as interest in 2 years?

Answer 1

Answer:

S.I = PRT/100

P- 8,500

R - 10%

T- 2 Years

by formula

prt/100

8,500×10×2 /100

170,000 /100

1,700 is your answer

Answer 2

$\huge \mathfrak \red{☯CONCEPT : }$

☯️In this question we have to find the sum of money lent out at 10per cent p.a. simple interest which produce ₹ 8500 as interest in 2 years.

$\underline \mathfrak \purple{Given : }$

$\mathcal \pink {S.I =8500 \: rupees }$

$\color{blue}\boxed { \bf \: Rate \: of \: interest : 10\%}$

$\color{magenta}\boxed { \bf \: no.of \: years = 2 \: years}$

☯️ Solving using the equation:

$\\ \rm \frac{P \times R \times T}{100}$

☯️ Principal (P)

$\sf \: P = \frac{8500 \times100 }{10 \times 2}$

☯️ Cancelling :

$\\ \pink{\frac{850 \cancel0 \times \cancel{100}}{1 \cancel0 \times \cancel2} }$

$\rm \: \frac{850 \cancel0}{1 \cancel0} \\ \\ \frac{100}{2} \rightarrow50$

$\rm\implies \red{P = } \frac{8500 \times 50}{1}$

$\sf \implies \sf \: P = 42500 \: rupees$

☯️Hence the sum of money lent out is 42500 rupees.

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