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(B) Let the younger son's share be $₹ x$. Then the elder son's share is $₹ (120000 - x)$.The younger son is $12$ years old,so he will receive the amou

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$57600$

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(B) Let the younger son's share be $₹ x$. Then the elder son's share is $₹ (120000 - x)$.The younger son is $12$ years old,so he will receive the amount after $18 - 12 = 6$ years.The elder son is $14$ years old,so he will receive the amount after $18 - 14 = 4$ years.Since the amounts become equal at the age of $18$ with $5 \%$ simple interest per annum:Amount for younger son $= x + \frac{x 	imes 5 	imes 6}{100} = x(1 + 0.3) = 1.3x$Amount for elder son $= (120000 - x) + \frac{(120000 - x) 	imes 5 	imes 4}{100} = (120000 - x)(1 + 0.2) = 1.2(120000 - x)$Equating both amounts:$1.3x = 1.2(120000 - x)$$1.3x = 144000 - 1.2x$$2.5x = 144000$$x = \frac{144000}{2.5} = 57600$Therefore,the younger son's share is $₹ 57600$.

$A$ person has left an amount of ₹ $1,20,000$ to be divided between his two sons aged $14$ years and $12$ years such that they get equal amounts when each attains $18$ years of age. If the amount gets a simple interest of $5 \%$ per annum,the younger son's share at present (in ₹) is

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