Question

the sum of money which amounts to rupees 580 in 2 years at 10% per annum simple interest is​

Answer 1

Answer:

Amount = Rs. 580

Amount = Principal Amount + Simple Interest.

Principal Amount = ?

Let Principal Amount = Rs. x

⇒ Amount = Rs. x + ( x × 10 × 2 ) / 100

⇒ Rs. 580 = Rs. x + ( 20x / 100 )

⇒ Rs. 580 = Rs. x + ( x / 5 )

Taking LCM we get,

⇒ Rs. 580 = Rs. ( 5x + x ) / 5

Cross Multiplying the denominator we get,

⇒ Rs. 580 × 5 = Rs. 6x

⇒ Rs. 2900 = Rs. 6x

⇒ x =  Rs. 483.34

Hence the Principal Amount is Rs. 483.34 and Simple Interest is Rs. 96.66

Answer 2

Step-by-step explanation:

Hey mate

We can 1st find principal amount by using the formula that is

Amount= principal amount +simple interest

Let principal amount be 'a'

Amount= principal amount +simple interest

[

$580 = rs \: a \ + :( \frac{a \times 10 \times 2}{100} ) \\ 580 = rs \: a + \frac{(20a)}{100} \\ 580 = rs \: a + \frac{a}{5} \\ 580 = \frac{5a + a}{5} </p><p> \\ 580 \times 5 = 6a \\ \frac{580 \times 5}{6} = a \\ \\ a = 483.34 \\ \\ hence \: simple \: intrest \: will \: be \: 96.66</p><p>$