A person has left an amount of ₹ 1,20,000 to | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$57600$

Vedclass · Answer

(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

Similar Questions

The simple interest on a sum is $\frac{1}{16}$ of the principal and the number of years is equal to the rate per cent per annum. The rate per cent per annum is (in $.5$)

What is the present worth (in ₹) of ₹ $132$ due in $2$ years at $5\%$ simple interest per annum?

The simple interest on a sum for $8$ years is ₹ $47500$. The rate of interest is $10 \%$ per annum for the first $5$ years and $15 \%$ per annum for the next $3$ years. What is the value (in ₹) of the sum?

What time (in years) is taken by a sum of $Rs. 7000$ to become $Rs. 10500$ at the rate of $5 \%$ per annum simple interest?

$A$ sum fetched a total simple interest of $Rs. 4016.25$ at the rate of $9 \%$ $p.a.$ in $5$ years. What is the sum (in $Rs.$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module