The ratio of the incomes of A and B is 5:4 an | vedclass

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

Question

(C) Let the incomes of $A$ and $B$ be $5x$ and $4x$ respectively.Let the expenditures of $A$ and $B$ be $3y$ and $2y$ respectively.We know that $	ext

Vedclass · Accepted Answer

$4000$

Vedclass · Answer

(C) Let the incomes of $A$ and $B$ be $5x$ and $4x$ respectively.Let the expenditures of $A$ and $B$ be $3y$ and $2y$ respectively.We know that $	ext{Income} - 	ext{Expenditure} = 	ext{Saving}$.For $A$: $5x - 3y = 1600$  ---$(1)$For $B$: $4x - 2y = 1600$  ---$(2)$To solve these equations,multiply equation $(1)$ by $2$ and equation $(2)$ by $3$:$10x - 6y = 3200$  ---$(3)$$12x - 6y = 4800$  ---$(4)$Subtracting equation $(3)$ from $(4)$:$(12x - 10x) = 4800 - 3200$$2x = 1600$$x = 800$Therefore,the income of $A = 5x = 5 	imes 800 = 4000$ $Rs.$

The ratio of the incomes of $A$ and $B$ is $5:4$ and the ratio of their expenditures is $3:2$. If at the end of the year,each saves $Rs. 1600$,then the income of $A$ is (in $Rs.$):

Similar Questions

Two numbers are in the ratio $3:5$. If $9$ is subtracted from each,they are in the ratio $12:23$. Find the smaller number.

The incomes of $A, B$ and $C$ are in the ratio $7: 9: 12$ and their expenditures are in the ratio $8: 9: 15$. If $A$ saves one-fourth of his income,then the ratio of the savings of $A, B$ and $C$ is:

The third proportional of $12$ and $18$ is

The ratio of $4^{3.5} : 2^{5}$ is the same as:

₹ $120$ is divided among $6$ men, $8$ women and $6$ boys so that a man gets as much as $2$ boys and $2$ women get as much as $3$ boys. Find the share of a boy (in ₹).

Vedclass Test Series

Exam Paper Generator

Online Exam Module