Three brothers divided ₹ 1620 among themselve | vedclass

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

Question

(B) Let the shares of the three brothers be $A$,$B$,and $C$ respectively.According to the problem,the total amount is $A + B + C = 1620$.We are given

Vedclass · Accepted Answer

$450$

Vedclass · Answer

(B) Let the shares of the three brothers be $A$,$B$,and $C$ respectively.According to the problem,the total amount is $A + B + C = 1620$.We are given that the share of the second brother $B$ is $\frac{5}{13}$ of the sum of the shares of the other two,i.e.,$B = \frac{5}{13}(A + C)$.Substituting $(A + C)$ from the total sum equation: $(A + C) = 1620 - B$.Now,substitute this into the given condition:$B = \frac{5}{13}(1620 - B)$$13B = 5(1620 - B)$$13B = 8100 - 5B$$13B + 5B = 8100$$18B = 8100$$B = \frac{8100}{18} = 450$.Therefore,the share of the second brother is ₹ $450$.

Three brothers divided ₹ $1620$ among themselves in such a way that the share of the second brother is equal to $\frac{5}{13}$ of the share of the other two combined. What is the share of the second brother?

Similar Questions

If two-third of $A$ is four-fifth of $B ,$ then $A : B =?$

An amount of $Rs. 735$ was divided between $A, B$ and $C$. If each of them had received $Rs. 25$ less,their shares would have been in the ratio of $1:3:2$. The money received by $C$ was

If $B: A = 2: 3$ and $A: C = 5: 7$,then what is $(A + B) : (B + C)$?

The total of the ages of Jayant,Prem and Saransh is $93$ years. Ten years ago,the ratio of their ages was $2: 3: 4$. What is the present age (in years) of Saransh?

If $\left(x+\frac{1}{x}\right):\left(x-\frac{1}{x}\right)=5:5$,then the value$(s)$ of $x$ is/are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module