Question

राम और श्याम ने मिलकर 3364 रु.5% वार्षिक की दर से चक्रवृद्धि ब्याज पर दिया। तीन साल के बाद राम को उतनी ही राशि मिली जितनी की श्याम को पांच साल के बाद, मूलधन में राम का हिस्सा है।
full explain​

Answer 1

Answer:

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

Thus, the share of Ram in principal amount is Rs. 1764.

Answer 2

Answer:

Step-by-step explanation: