When 30 percent of one number is subtracted f | vedclass

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

Question

(D) Let the first number be $x$ and the second number be $y$.According to the problem,when $30$ percent of the first number is subtracted from the sec

Vedclass · Accepted Answer

$2: 3$

Vedclass · Answer

(D) Let the first number be $x$ and the second number be $y$.According to the problem,when $30$ percent of the first number is subtracted from the second number,the result is four-fifth of the second number.This can be written as: $y - 0.3x = \frac{4}{5}y$.Rearranging the terms to group $y$ on one side: $y - \frac{4}{5}y = 0.3x$.Simplifying the left side: $\frac{1}{5}y = 0.3x$.Converting $0.3$ to a fraction: $\frac{1}{5}y = \frac{3}{10}x$.Multiplying both sides by $10$: $2y = 3x$.Therefore,the ratio of the first number $(x)$ to the second number $(y)$ is $\frac{x}{y} = \frac{2}{3}$,which is $2:3$.

When $30$ percent of one number is subtracted from another number,the second number reduces to its four-fifth. What is the ratio between the first and the second number respectively?

Similar Questions

The least whole number which,when subtracted from both the terms of the ratio $4:5$,gives a ratio equal to $3:4$ is:

The price of a diamond is directly proportional to the square of its weight. $A$ man accidentally broke the diamond into three pieces in the ratio of $3:5:7$ and thus lost ₹ $42600$. What was the original price (in ₹) of the diamond?

The sum of two numbers is equal to $25$ and their difference is $20$. The ratio of the two numbers is

If $A: B = 7: 5$ and $B: C = 9: 11,$ then $A: B: C$ is equal to

$A$ box contains $210$ coins of denominations $Rs. 1$ and $50$ paise. The ratio of their respective values is $13: 11$. The number of $Rs. 1$ coins is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module