Question

Find the compound interest and the total amount after an hour if the interest is compounded every ten minutes. principal =₹512 rate of interest =5% per minute total amount = ₹ compound interest ₹

Answer 1

Step-by-step explanation:

Given Find the compound interest and the total amount after an hour if the interest is compounded every ten minutes. principal =₹512 rate of interest =5% per minute total amount = ₹ compound interest ₹

• We need to find the total amount and the compound interest.
• So given Principal P = 512
• Rate of interest R = 5% per minute
•                                 = 5 x 10 (interest for every 10 min)
•                                = 50
•  Now n = 60 / 10 = 6
• So we have Amount A = P(1 + R / 100)^n
•                                          = 512 (1 + 50/100)^6
•                                          = 512 (3/2)^6
•                                        = 5.2 (1.5)^6
•                                         = Rs 5832
• Now Compound Interest = A – P
•                                            = 5832 – 512
•                                          = Rs 5320  

Reference link will be

https://brainly.in/question/6793190

Answer 2

$\huge\sf\pink{Answer}$

☞ Your Answer is Rs 5320

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ Time = 1 hour

✭ Interest is added every 10 m

✭ Principal (p) = ₹512

✭ Interest = 5% per minute = 5×10 = 50

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ Compound Interest?

$\rule{110}1$

$\huge\sf\purple{Steps}$

$\bullet{\underline{\textsf{ As Per The Question}}}$

➳ $\sf n = \dfrac{60}{10} = 6$

So we know that,

$\underline{\boxed{\sf A = \bigg\lgroup\dfrac{P(1 + R)}{100}\bigg\rgroup^n}}$

➝ 512 (1 + 50/100)⁶

➝ 512 (3/2)⁶

➝ 5.2 (1.5)⁶

➝ $\sf\red{Rs \ 5832}$

Compound Interest = A – P

➢ 5832 - 512

➢ $\sf\orange{Rs \ 5320}$

$\rule{170}3$