The ratio of incomes of P and Q is 3:4 and th | vedclass

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

Question

(C) Let the income of $P$ and $Q$ be $3x$ and $4x$ respectively.Let the expenditure of $P$ and $Q$ be $2y$ and $3y$ respectively.We know that $	ext{I

Vedclass · Accepted Answer

$18000$

Vedclass · Answer

(C) Let the income of $P$ and $Q$ be $3x$ and $4x$ respectively.Let the expenditure of $P$ and $Q$ be $2y$ and $3y$ respectively.We know that $	ext{Income} - 	ext{Expenditure} = 	ext{Savings}$.For $P$: $3x - 2y = 6000$ (Equation $1$)For $Q$: $4x - 3y = 6000$ (Equation $2$)From Equation $1$,$2y = 3x - 6000$,so $y = 1.5x - 3000$.Substitute $y$ into Equation $2$: $4x - 3(1.5x - 3000) = 6000$.$4x - 4.5x + 9000 = 6000$.$-0.5x = -3000$.$x = 6000$.The income of $P$ is $3x = 3 	imes 6000 = 18000$ $Rs.$

The ratio of incomes of $P$ and $Q$ is $3:4$ and the ratio of their expenditures is $2:3$. If both of them save $Rs. 6000$,the total income of $P$ is (in $Rs.$):

Similar Questions

The number of students in three classes are in the ratio $2:3:4$. If $12$ students are increased in each class,this ratio changes to $8:11:14$. The total number of students in the three classes in the beginning was:

The ratio of the numbers of boys and girls of a school with $504$ students is $13: 11$. What will be the new ratio if $12$ more girls are admitted?

The ratio of the number of boys and girls in a school is $8: 12$. If $50 \%$ of boys and $25 \%$ of girls are getting scholarships for their studies,what is the percentage of school students who are not getting any scholarships (in $\%$)?

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

The present ages of $A$ and $B$ are in the ratio $5:6$ respectively. After seven years,this ratio becomes $6:7$. Then the present age of $A$ in years is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module