Question

5) A sum of Rs 30.000 is invested equally in two schemes X and Y. Scheme X offenng interest ota rote of 12% pa compounded half yearly and the scheme Y offering Y interest at a rate of 12%pa compounded every four months. What would be the total Interest eamed at the end of the year?
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Answer 1

Answer:

12% and x, y

x, y = 12%

if in 4 months 12 % it should be

then it will be 36 %

Answer 2

Answer:

Total Interest Earned at the end of the year is 1854 + 1873 =  Rs. 3737

Explanation:

What is Compound Interest ?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.

Different methods can be used to compute compound interest depending on the circumstance. To make the computations simpler, we may utilise the compound interest interest formula. We need to know the quantity and the principal in order to compute compound interest. The difference between the two is the principle.

A total sum of Rs. 30000

It is equally divided in two schemes X and Y .

Principal in each Scheme is $\frac{30000}{2} = \ Rs \ 15000$.

Total Amount earned at the end of a year if X gives 12 % interest Compounded Half Yearly :

Amount = $principal *(1 + \frac{rate}{number \ of \ times \ compounded \ yearly(n)} )^{(number \ of \ times \ compounded \ yearly)*Total \ time}$

Amount = $15000 * (1+ \frac{12}{2*100} )^{2} = Rs\ 16854$

Interest generated  = Amount - Principal = 16854 - 15000 = Rs. 1854.

Total Amount earned at the end of a year if Y gives 12 % interest Compounded every Fourth Mounth :

Amount = $principal *(1 + \frac{rate}{number \ of \ times \ compounded \ yearly(n)} )^{(number \ of \ times \ compounded \ yearly)*Total \ time}$

Amount = $15000 * (1+ \frac{12}{3*100} )^{3} = Rs\ 16873$

Interest generated  = Amount - Principal = 16873 - 15000 = Rs. 1873.

Total Interest Earned at the end of the year is 1854 + 1873 =  Rs. 3737

To learn more about Compound Interest refer to :

https://brainly.in/question/22360081?referrer=searchResults

https://brainly.in/question/12508290?referrer=searchResults

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