Question

32.
Ram and Shyam together gave 33364 at a rate of 5% per annum, at a compound
interest. After 3 years, Ram got the same amount as Shyam got after 5 yearss
then how much was Ram's share in the principle ?​

Answer 1

Answer:

Step-by-step explanation:

Required Formula:

Amount, A = P [1+R/100]ⁿ

The principal amount lent by Ram and Shyam together = Rs. 3364

So, let the share of Ram in principal amount be Rs. “P”, then the share of Shyam in principal amount would be Rs. “[3364 - P]” .

Rate of interest for both, R = 5% p.a.

Time period for Ram = 3 year

Time period for Shyam = 5 year

Now, according to the question and based on the above formula we can write the eq. as,

P * [1 + \frac{5}{100}

100

5

³ = [3364 - P] * [1 + \frac{5}{100}

100

5

⁵

cancelling the similar terms

⇒ P = [3364 - P] * [1 + \frac{5}{100}

100

5

²

⇒ P = [3364 - P] * [1 + \frac{1}{20}

20

1

²

⇒ P = [3364 - P] * [\frac{21}{20}

20

21

²

⇒ P = [3364 - P] * [\frac{441}{400}

400

441

⇒ 400P = 1483524 – 441P

⇒ 400P + 441P = 1483524

⇒ 841P = 1483524

⇒ P = \frac{1483524}{841}

841

1483524

⇒ P = Rs. 1764

Step-by-step explanation:

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