At what rate percent per annum will a sum of rs 6250 amount to rs 7840 in 3 years, compounded annually?
Answers
Step-by-step explanation:
Answer : \bold{Rate \: = \: 12 \%}Rate=12%
Explanation -
Given :
Amount = 7840
Principal = 6250
Time = 2 years
Finding Rate Percentage -
amount = principal(1 + \dfrac{r}{100} ) ^{2}amount=principal(1+
100
r
)
2
7840 = 6250(1 + \dfrac{r}{100} ) ^{2}7840=6250(1+
100
r
)
2
\dfrac{7840}{6250} = (1 + \dfrac{r}{100} ) ^{2}
6250
7840
=(1+
100
r
)
2
\dfrac{784}{625} = (1 + \dfrac{r}{100} ) ^{2}
625
784
=(1+
100
r
)
2
(\dfrac{28}{25} ) ^{2} = (1 + \dfrac{r}{100} ) ^{2}(
25
28
)
2
=(1+
100
r
)
2
\dfrac{28}{25} = 1 + \dfrac{r}{100}
25
28
=1+
100
r
\dfrac{100 + r}{100} = \dfrac{28}{25}
100
100+r
=
25
28
25(100 + r) = 28 \times 10025(100+r)=28×100
2500 + 25 \: r = 28002500+25r=2800
25 \: r = 2800 - 250025r=2800−2500
25 \: r = 30025r=300
r \: = \dfrac{300}{25} = 12\%r=
25
300
=12%
rate \: = 12\%rate=12%
Hence :
\bold{Answer : Rate \: = \: 12 \%}Answer:Rate=12%