When a number is divided by 12,the quotient i | vedclass

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

Question

(B) Let the first number be $x$ and the second number be $y$.According to the problem,when $x$ is divided by $12$,the result is $\frac{1}{4}$ of $y$.S

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(B) Let the first number be $x$ and the second number be $y$.According to the problem,when $x$ is divided by $12$,the result is $\frac{1}{4}$ of $y$.So,$\frac{x}{12} = \frac{1}{4}y$.Multiplying both sides by $12$,we get $x = \frac{12}{4}y = 3y$.This implies $\frac{x}{y} = \frac{3}{1}$,so $x = 3y$.The percentage by which the first number $(x)$ is greater than the second number $(y)$ is given by the formula:$	ext{Percentage increase} = \frac{x - y}{y} 	imes 100 \%$.Substituting $x = 3y$:$	ext{Percentage increase} = \frac{3y - y}{y} 	imes 100 \% = \frac{2y}{y} 	imes 100 \% = 2 	imes 100 \% = 200 \%$.

When a number is divided by $12$,the quotient is $\frac{1}{4}$ of another number. By what percentage is the first number greater than the second number?

Similar Questions

$125 \%$ of $320 + x \%$ of $125 = 440$. Find the value of $x$.

$A$ batsman scored $110$ runs which included $3$ boundaries and $8$ sixes. What per cent of his total score did he make by running between the wickets?

Mrs. Jain invests $14 \%$ of her monthly salary,i.e.,$Rs. 7014$ in Insurance Policies. Later she invests $21 \%$ of her monthly salary on Family Mediclaim Policies; also she invests another $6.5 \%$ of her salary on Mutual Funds. What is the total annual amount invested by Mrs. Jain?

Two-fifths of one-third of three-seventh of a number is $15$. What is $40$ per cent of that number?

If a number $x$ is $10 \%$ less than another number $y$ and $y$ is $10 \%$ more than $125,$ then $x$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module