Math, asked by AditiAkanksha, 7 months ago

3.
Rohit deposited 10,000 in a bank for six months. If the bank pays compound
interest at 12% per annum reckoned quarterly, find the amount to be received by
him on maturity,
please solve in page by unitary method​

Answers

Answered by krishnanarayan07103
3

Answer:

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Answered by Intelligentcat
9

\Large{\underline{\underline{\bf{Question:-}}}}

Rohit deposited 10,000 in a bank for six months. If the bank pays compound interest at 12% per annum to reckoned quately find the amount to be recieved by him on maturity.

Answer :-

Rohit will have Rs 10,609 on maturity.

Method 1 :-

\Large{\underline{\underline{\bf{GiVen:-}}}}

Principal = 10000 rupees

Compound interest per annum = 12%

Time =6 months =0.5 year.

Using formula

\sf\underline{\purple{\:\:\: \: \: Amount :- \:\:\:}} \\ \\P( 1+R/100)^t

Substituting the values in the above formula, we get :-

= ₹ 10,000 (1+3/100)^2

= ₹10,000 (103/100)^2

= ₹ 10,000 × 103/100 × 103/100

= ₹10,609

Method 2 :-

Principal Amount = Rs 10,000

Let's find out interest rate first :-

1 year = 12%

1 quarter = 12 ÷ 4 = 3%

Now, Interest for the first quarter: -

\Large{\underline{\underline{\bf{SoLuTion:-}}}}

Interest = 3% x Rs 10,000

Interest = 0.03 x 10000 = Rs 300

Finding the amount now ,

Interest = 3% x Rs 10,000

Interest = 0.03 x 10000 = Rs 300

\large{\boxed{\bold{Amount\:=\:principal \:+\: Interest}}}

= 10,000 + 300

= Rs 10,300

Now ,for the Quarter 2 .

Interest = 3% of Rs 10,300

= 0.03 x 10,300

= Rs 309

Finding the amount again :-

\large{\boxed{\bold{Amount\:=\:principal \:+\: Interest}}}

Substituting the values again :-

= 10,300 + 309

= Rs 10,609

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