A man gave 50 % of his savings of ₹ 84,100 to | vedclass

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

Question

(A) Total savings $= ₹ 84,100$.Share given to wife $= 50 \% 	ext{ of } 84,100 = ₹ 42,050$.Remaining amount to be divided between sons $A$ and $B = ₹

Vedclass · Accepted Answer

$20000$

Vedclass · Answer

(A) Total savings $= ₹ 84,100$.Share given to wife $= 50 \% 	ext{ of } 84,100 = ₹ 42,050$.Remaining amount to be divided between sons $A$ and $B = ₹ 42,050$.Let the share of son $B$ be $x$. Then the share of son $A = 42,050 - x$.Son $A$ is $15$ years old,so he will attain $18$ years in $3$ years $(n_A = 3)$.Son $B$ is $13$ years old,so he will attain $18$ years in $5$ years $(n_B = 5)$.Rate of interest $r = 5 \%$.According to the problem,the amounts received by both at age $18$ are equal:$(42,050 - x) 	imes (1 + \frac{5}{100})^3 = x 	imes (1 + \frac{5}{100})^5$$(42,050 - x) = x 	imes (1 + \frac{5}{100})^2$$(42,050 - x) = x 	imes (1.05)^2$$42,050 - x = x 	imes 1.1025$$42,050 = 2.1025x$$x = \frac{42,050}{2.1025} = 20,000$.Thus,the share of $B$ is ₹ $20,000$.

Similar Questions

What would be the $C.I.$ obtained on an amount of $12500$ at the rate of $12 \, p.c.p.a.$ after $2$ years (in $Rs.$)?

The $C.I.$ on $Rs. 10000$ at $20 \%$ per annum at the end of $1$ year $6$ months,if the interest is calculated half-yearly,will be:

$A$ certain sum of money (in $Rs.$) gives $Rs. 500$ as Simple Interest $(S.I.)$ at $5 \%$ per annum for $1$ year. What is the Compound Interest $(C.I.)$ on the same sum at the same rate at the end of $2$ years?

The difference between simple interest and compound interest compounded annually on a certain sum of money for $2$ years at $4 \%$ per annum is ₹ $1$. The sum (in ₹) is

Vedclass Test Series

Exam Paper Generator

Online Exam Module