Correct Option: C
Let the rate percent per annum be r.
Given that , P = ₹ 2304 , A = ₹ 2500 , n = 2 years
Using the given formula ,
| A = P | 1 + | r | n | ||
| 100 |
| 2500 = 2304 | 1 + | r | 2 | ||
| 100 |
| ⇒ | 1 + | r | 2 | = | 2500 | = | 50 | 2 | ||||
| 100 | 2304 | 48 |
| ⇒ 1 + | r | = | 50 | = | 25 |
| 100 | 48 | 24 |
| ⇒ | r | = | 25 | − 1 = | 1 |
| 100 | 24 | 24 |
| ⇒ r = | 100 | = | 25 | = 4 | 1 | % |
| 24 | 6 | 6 |
Principal = Rs. 2304,
Amount = Rs. 2500
Time = 2 years,
Let Rate % = R %
By using formula,
\( \Large 2500=2304 \left(1+\frac{R}{100}\right)^{2}\)
\( \Large \frac{2500}{2304}= \left(1+\frac{R}{100}\right)^{2}\)
\( \Large \frac{625}{576}= \left(1+\frac{R}{100}\right)^{2}\)
\( \Large\left(\frac{25}{24}\right)^{2} = \left(1+\frac{R}{100}\right)^{2}\)
By taking square root of both sides,
\( \Large \frac{25}{24}= 1+\frac{R}{100} \)
\( \Large \frac{R}{100}=\frac{25}{24}-1 \)
\( \Large R=\frac{100}{24}=\frac{25}{6} \% \)
Rate = \( \Large 4\frac{1}{6} \) %
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At what rate per cent per annu...
Updated On: 27-06-2022
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Text Solution
`4(1)/(2)%``4(1)/(5)%``4(1)/(6)%``4(1)/(3)%`
Answer : C
Answer
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