Question

Amount = Rs.1,800 Time = 2 years Rate = 10% Find Principle and Interest

Answer 1

Step-by-step explanation:

Answer

Correct option is

B

2 years

Interest is compounded annually,

So amount, A=P(1+

100

r

)

t

Where,

P is Principal (or sum)

t is time (in years)

A is the amount, person will get after time t

r is rate of interest per annum

Here,

A=2178

P=1800

t=?

r=10%

Now apply the formula,

⇒A=P(1+

100

r

)

t

⇒2178=1800(1+

100

10

)

t

⇒

1800

2178

=(

100

110

)

t

⇒

100

121

=(

10

11

)

t

⇒(

10

11

)

2

=(

10

11

)

t

⇒t=2 years

Answer 2

Correct option is
2 years
Interest is compounded annually,
So amount, A=P(1+
100
r
​
)
t


Where,
P is Principal (or sum)
t is time (in years)
A is the amount, person will get after time t
r is rate of interest per annum

Here,
A=2178
P=1800
t=?
r=10%

Now apply the formula,
⇒A=P(1+
100
r
​
)
t


⇒2178=1800(1+
100
10
​
)
t


⇒
1800
2178
​
=(
100
110
​
)
t


⇒
100
121
​
=(
10
11
​
)
t


⇒(
10
11
​
)
2
=(
10
11
​
)
t


⇒t=2 years