A man invests ₹ 3965 in the names of his thre | vedclass

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(A) Let the amounts invested for Neeta,Sita,and Gita be $P_1, P_2,$ and $P_3$ respectively.Given that the total amount $P_1 + P_2 + P_3 = 3965$.Since

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$1380, 1320, 1265$

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(A) Let the amounts invested for Neeta,Sita,and Gita be $P_1, P_2,$ and $P_3$ respectively.Given that the total amount $P_1 + P_2 + P_3 = 3965$.Since the final amount received is the same for all,we use the formula $A = P(1 + \frac{RT}{100})$.$P_1(1 + \frac{5 	imes 2}{100}) = P_2(1 + \frac{5 	imes 3}{100}) = P_3(1 + \frac{5 	imes 4}{100})$$P_1(1.10) = P_2(1.15) = P_3(1.20)$$P_1 : P_2 : P_3 = \frac{1}{1.10} : \frac{1}{1.15} : \frac{1}{1.20} = \frac{1}{110} : \frac{1}{115} : \frac{1}{120}$Multiplying by the $LCM$ of $110, 115, 120$ (which is $27600$):$P_1 : P_2 : P_3 = 276 : 264 : 253$Sum of ratios $= 276 + 264 + 253 = 793$.Neeta's share $= \frac{276}{793} 	imes 3965 = 276 	imes 5 = ₹ 1380$.Sita's share $= \frac{264}{793} 	imes 3965 = 264 	imes 5 = ₹ 1320$.Gita's share $= \frac{253}{793} 	imes 3965 = 253 	imes 5 = ₹ 1265$.

$A$ man invests ₹ $3965$ in the names of his three daughters,Neeta,Sita,and Gita,in such a way that they would receive the same amount after $2, 3,$ and $4$ years. If the rate of interest is $5 \%$ p.a.,then the amount (in ₹) invested for Neeta,Sita,and Gita is:

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