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32.Ram and Shyam together gave 33364 at a rate of 5% per annum, at a compoundinterest. After 3 years, Ram got the same amount as Shyam got after 5 yearssthen how much was Ram's share in the principle ? |
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Answer» Answer: Step-by-step explanation: 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: mark my answer brainlist |
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