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
Answer:
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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 :-
Principal = 10000 rupees
Compound interest per annum = 12%
Time =6 months =0.5 year.
Using formula
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: -
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
= 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 :-
Substituting the values again :-
= 10,300 + 309
= Rs 10,609