Question

Maria invested Rs 8000 in a business. She would be paid interest at rate of 5 % per
annum compounded annually. Find
(i) The amount credited at the end of 2nd year.
(ii) Compound interest on 3rd year.

Answer 1

$\huge{\green{\boxed{\boxed{\red{\underline{\blue{\mathrm{Answers:}}}}}}}}$

${\bold{\red{\underline{\mathsf{Answer \ 1:}}}}}$

The amount credited to Maria at the end of 2nd year will be Rs. 8820.

${\bold{\red{\underline{\mathsf{Answer \ 2:}}}}}$

The compound interest she will receive on 3rd year will be Rs. 1261.

Step-by-step explanation:

${\underline{\mathsf{\red{Question \ (i) \ :-}}}}$

Given :-

• Principal (P) = Rs. 8000
• Rate % (R) = 5% p.a.
• Time (T) = 2 years

To Find :-

• Amount

Formula Used :-

Amount (Compound Interest) = $P \ (1 + \frac{R}{100})^{n}$

Where,

• P = Principal i.e. Rs. 8000
• R = Rate % i.e. 5 %
• n = Time i.e. 2 years

Solution :-

After putting values in the formula :

$\longrightarrow 8000 \ (1+\frac{5}{100})^2$

$\Longrightarrow Rs. \ 8000 \ (\frac{100}{100} + \frac{5}{100})^2\\\\\Longrightarrow Rs. \ 8000 \ (\frac{105}{100})^2\\\\\Longrightarrow Rs. \ 8000 \times \frac{105}{100} \times \frac{105}{100}\\\\\Longrightarrow Rs. \ 8000 \times \frac{21}{20} \times \frac{21}{20}\\\\\Longrightarrow Rs. \ 8000 \times \frac{441}{400}\\\\\Longrightarrow \dfrac{Rs. \ 3528000}{400}\\\\\Longrightarrow Rs. \ 8820$

Hence,

${\blue{\boxed{\boxed{\underline{\mathrm{\orange{The \ amount \ credited \ to \ Maria \ at \ the \ end \ of \ 2^{nd} \ year \ will \ be \ Rs. \ 8820.}}}}}}}$

__________________________________________________________

${\underline{\mathsf{\red{Question \ (ii) \ :-}}}}$

Given :-

• Principal (P) = Rs. 8000
• Rate % (R) = 5% p.a.
• Time (T) = 2 years

To Find :-

• Compound Interest

Formula Used :-

Compound Interest = $P \ ([1+\frac{R}{100}]^n-1)$

Where,

• P = Principal i.e. Rs. 8000
• R = Rate % i.e. 5 %
• n = Time i.e. 2 years

Solution :-

After putting values in the formula :-

$\longrightarrow Rs. \ 8000 \ ([1+\frac{5}{100}]^3-1)\\\\\Longrightarrow Rs. \ 8000 \ ([\frac{100}{100} +\frac{5}{100}]^3-1)\\\\\Longrightarrow Rs. \ 8000 \ (\frac{105}{100}^3-1)\\\\\Longrightarrow Rs. \ 8000 \ (1.157625-1)\\\\\Longrightarrow Rs. \ 8000 \ \times 0.157625\\\\\Longrightarrow Rs. 1261$

Hence,

${\blue{\boxed{\boxed{\underline{\mathrm{\orange{The \ compound \ interest \ Maria \ will \ receive \ on \ 3^{rd} \ year \ will \ be \ Rs. \ 1261.}}}}}}}$

Answer 2

Answer:

#Hope you have satisfied with this answer.