Question

at the rate per cent per annum will a sum of rs.7500 amount to RS.8427 in 2 year compounded annually​

Answer 1

Step-by-step explanation:

Present value, P = Rs.7500

Amount, A = Rs.8427

Time, n = 2 years

Now,

Amount (A) = P (1 + R/100)n

⇒ 8427 = 7500 (1 + R/100)2

⇒ (1 + R/100)2 = 8427/7500

⇒ (1 + R/100)2 = (53/50)2

⇒ (1 + R/100) = (53/50)

⇒ R/100 = 53/50 – 1

⇒ R/100 = (53 – 50)/50

⇒ R = 3/50 × 100

⇒ R = 6

Hope you understand

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Answer 2

Answer:

rate of intrest = 6%

Given:-

• principle = 7500
• amount = 8427
• year = 2
• rate = ?

To find :-

• rate of interest

Solution:-

$amount \: =p \times ( {1 + \frac{r}{100} })^{n} \\ \\ 8427 = 7500 \times ( {1 + \frac{r}{100} })^{2} \\ \\ \frac{8427}{7500} = ( {1 + \frac{r}{100} })^{2} \\ \\ \frac{8427}{7500} = ({ \frac{100 + r}{100} })^{2} \\ \\ \frac{8427 \times 100 \times 100}{7500} = ( {100 + r})^{2} \\ \\ 11236 = ( {100 + r})^{2} \\ \\ taking \: squre \: root \: out \\ \\ 106 = 100 + r \\ \\ r = 106 - 100 \\ \\ r = 6\%$

rate of intrest is 6%