What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum

Answer: Option C

Explanation:

Please remember, when we have to calculate C.I. quarterly then we apply following formula if n is the number of years

$$\begin{aligned} Amount = P(1+\frac{\frac{R}{4}}{100})^{4n} \end{aligned}$$

Principal = Rs.16,000;
Time=9 months = 3 quarters;
Rate = 20%, it will be 20/4 = 5%

So lets solve this question now,

$$\begin{aligned} Amount = 16000(1+\frac{5}{100})^3 \\ = 18522\\ C.I = 18522 - 16000 = 2522 \end{aligned}$$

Answer: Option B

Explanation:

It is clear from question that Ram's share after five years = Sham's share after seven years
Hence we can conclude following :

$$\begin{aligned} \text{(Rams's present share)}\left(1 + \dfrac{5}{100}\right)^5 = \text{(Sham's present share)}\left(1 + \dfrac{5}{100}\right)^7\\ => \dfrac{\text{(Ram's present share)}}{\text{(Sham's present share)}}= \dfrac{\left(1 + \dfrac{5}{100}\right)^7}{\left(1 + \dfrac{5}{100}\right)^5} \\ = \left(1 + \dfrac{5}{100}\right)^{(7-5)} = \left(1 + \dfrac{5}{100}\right)^2 \\ = \left(\dfrac{21}{20}\right)^2 = \dfrac{441}{400} \end{aligned}$$
Ram's present share : B's present share = 441 : 400

$$\begin{aligned} \text{As amount is Rs.3364, Ram's share = }3364 \times \dfrac{441}{(441+400)} \\\\ = 3364 \times \dfrac{441}{841} = 4 \times 441 = \text{ Rs. 1764} \end{aligned}$$

So Sham's share is = 3364-1764 = 1600

Answer: Option A

Explanation:

Let the amount Rs 100 for 1 year when compounded half yearly, n = 2, Rate = 6/2 = 3%

$$\begin{aligned} Amount = 100(1+\frac{3}{100})^2 = 106.09 \end{aligned}$$

Effective rate = (106.09 - 100)% = 6.09%

Answer: Option A

Explanation:

$$\begin{aligned} (25000 \times (1 + \frac{12}{100})^3) \\ => 25000\times\frac{28}{25}\times\frac{28}{25}\times\frac{28}{25} \\ => 35123.20 \\ \end{aligned}$$

So Compound interest will be 35123.20 - 25000
= Rs 10123.20

Answer: Option C

Explanation:

$$\begin{aligned} S.I. = \frac{P*R*T}{100} \\ P = \frac{50*100}{5*2} = 500\\ Amount = 500(1+\frac{5}{100})^2 \\ 500(\frac{21}{20} * \frac{21}{20}) \\ = 551.25 \\ C.I. = 551.25 - 500 = 51.25 \end{aligned}$$