1). Rs. 597.8122). Rs.553.53). Rs. 557.8124). Rs. 567.212

1.	1). Rs. 597.8122). Rs.553.53). Rs. 557.8124). Rs. 567.212
Answer» We know that, $(A\; = \;P{\left( {1\; + \;\frac{R}{{n \times 100}}} \RIGHT)^{T \times n}}\;)$ Where R = rate T = no. of years n = no. of times interest is compounded P = principal C.I = A - P Where C.I = compound interest, A = Amount Given, the bank offers 15% compound interest per half year. A customer deposits Rs 2400 each on 1st JANUARY and 1st July of a year Thus, for SUM of money deposited on 1^st January, rate will be compounded TWICE while for sum of money deposited on 1^st July, rate is compounded once $(A = 2400{\left( {1 + \frac{{15}}{{200}}} \right)^{1 \times 2}} + 2400\left( {1 + \frac{{15}}{{100}}} \right))$ ⇒ A = Rs. 5353.5 C.I = 5353.5 - 2400 - 2400 = Rs. 553.5

Answer»

We know that,

$(A\; = \;P{\left( {1\; + \;\frac{R}{{n \times 100}}} \RIGHT)^{T \times n}}\;)$

Where R = rate

T = no. of years

n = no. of times interest is compounded

P = principal

C.I = A - P

Where C.I = compound interest,

A = Amount

Given, the bank offers 15% compound interest per half year. A customer deposits Rs 2400 each on 1st JANUARY and 1st July of a year

Thus, for SUM of money deposited on 1^st January, rate will be compounded TWICE while for sum of money deposited on 1^st July, rate is compounded once

$(A = 2400{\left( {1 + \frac{{15}}{{200}}} \right)^{1 \times 2}} + 2400\left( {1 + \frac{{15}}{{100}}} \right))$

⇒ A = Rs. 5353.5

C.I = 5353.5 - 2400 - 2400 = Rs. 553.5

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