Question

By using formula find the amount and compound interest of.

P-Rs.62500. T-2yrs 6 mnths. R-12%. per annum compounded annually
..


Plss answer it fast
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Answer 1

Given:-

• P (Principal) = Rs. 62500.
• T (Time period) = 2 years 6 months.
• R (Rate of interest) = 12%.

To find:-

• Amount.
• Compound interest.

Solution:-

T (Time period) = 2 years 6 months.

= 6 months = 1/2 years

Time period = $\sf 2 \dfrac{1}{2}$ years

____________

For 1st year,

Simple interest :

$\implies \sf \dfrac{625 \cancel{00} \times 12 \times 1}{1 \cancel{00}}$

$\implies \sf 625 \times 12$

$\implies \sf 7500$

Simple interest = Rs. 7500

A = P + I

A = 62500 + 7500

A = Rs. 70000

___________

For 2nd year

This amount Rs. 70000 will work as principal for 2nd year.

Simple interest :

$\implies \sf \dfrac{700 \cancel{00}\times 12 \times 1}{1 \cancel{00}}$

$\implies \sf 700 \times 12$

$\implies \sf 8400$

Simple interest = Rs. 8400

A = 70000 + 8400

A = Rs. 78400

____________

Now , Rs. 78400 will work as principal for next 1/2 year.

Simple interest :

$\implies \sf \dfrac{784 \cancel{00} \times \cancel{12} \times 1}{1 \cancel{00} \times \cancel{2}}$

$\implies \sf 784 \times 4$

$\implies \sf 3136$

Simple interest = Rs. 3136

A = 78400 + 3136

A = Rs. 81536

Final amount is Rs. 81536.

C.I of $\sf 2 \dfrac{1}{2}$ years = 81536 - 62500

= 19036

Therefore,

Amount is Rs. 81536.

Compound interest is Rs. 19036.

___________________

Formulas used:

$\large \boxed{ \bigstar \:\sf Simple\: interest = \dfrac{P \times R\times T}{100} }$

$\large \boxed{ \bigstar\:\sf Amount = Principal + Simple\: interest }$

$\large \boxed{ \bigstar \:\sf Compound\: interest= Amount - Principal}$