Question

hi !!!

help me >>>>>>>

rs.6500 invested at a certain rate of interest amounts to rs.7865 in 3 years. what will it amount to in 5 years at same rate of interest.

plz explain step by step

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

Rs.6500 will Amount to Rs.8775 in 5 years.

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

Money invested = Rs.6500

Amounts to = Rs.7865

In = 3 years

To find :

What will Rs.6500 Amount to in 5 years at same rate of Interest.

Solution :

Case I

$\textsf{Principal = Rs.6500}$

$\textsf{Time = 3 years}$

$\textsf{Amount = Rs.7865}$

Simple Interest = Amount - Principal

==> 7865 - 6500

==> 1365

$\textsf{Simple Interest = Rs.1365}$

We need to find the Rate of Interest.

★ $\textsf{As we know :-}$

${\boxed{\sf{SI = \frac{Principal \times Rate \times Time}{100}}}}$

$\sf{\implies}1365 = \dfrac{6500 \times r \times 3}{100}$

$\sf{\implies}1365 = \dfrac{19500 \times r}{100}$

$\sf{\implies}1365 \times 100 = 19500 \times r$

$\sf{\implies}136500 = 19500r$

$\sf{\implies}R = \dfrac{136500}{19500}$

$\sf{\implies}R = 7$

$\boxed{\sf{\red{Rate = 7\%}}}$

Case II

$\textsf{Principal : Rs. 6500}$

$\textsf{Rate : 7 \%}$

$\textsf{Time : 5 years}$

★ $\textsf{As we know :}$

${\boxed{\sf{SI = \frac{Principal \times Rate \times Time}{100}}}}$

${\sf{\implies{SI = \dfrac{6500 \times 7 \times 5}{100}}}}$

${\sf{\implies{SI = \dfrac{6500 \times 35}{100}}}}$

${\sf{\implies{SI = \dfrac{227500}{100}}}}$

${\sf{\implies{SI = \dfrac{2275{\cancel{00}}}{1{\cancel{00}}}}}}$

${\sf{\implies{SI = 2275}}}$

$\textsf{Amount = Principal + Simple Interest}$

$\implies$ $\textsf{2275 + 6500}$

$\implies$ 8775

$\therefore$ Rs.6500 will Amount to Rs.8775 in 5 years.

Answer 2

find the rate :--

si = 7865 - 6500

rs, 1365 is the simple interest :-

1365= p * r * t/100

1356 = 6500 * r * 3/100

1365 = 195 * r

r = 1365/195

r = 7%

find the amount ;-

si = p*r*t/100

si = 6500 * 7*5/100

si = 65*35

si = 2275

amount = si + principal

2275 + 6500

8775

therefore, the amount is rs.8875

thanku !!