A certain amount was to be distributed among | vedclass

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

Question

(A) Let the total amount be $x$.In the first case,the ratio is $2:3:4$. The sum of the ratio parts is $2 + 3 + 4 = 9$. Thus,$B$'s share is $\frac{3}{9

Vedclass · Accepted Answer

$210$

Vedclass · Answer

(A) Let the total amount be $x$.In the first case,the ratio is $2:3:4$. The sum of the ratio parts is $2 + 3 + 4 = 9$. Thus,$B$'s share is $\frac{3}{9}x = \frac{1}{3}x$.In the second case,the ratio is $7:2:5$. The sum of the ratio parts is $7 + 2 + 5 = 14$. Thus,$B$'s share is $\frac{2}{14}x = \frac{1}{7}x$.According to the problem,$B$ received ₹ $40$ less in the second case,so:$\frac{1}{3}x - \frac{1}{7}x = 40$$\frac{7x - 3x}{21} = 40$$\frac{4x}{21} = 40$$x = \frac{40 	imes 21}{4} = 10 	imes 21 = 210$.Therefore,the actual amount is ₹ $210$.

$A$ certain amount was to be distributed among $A$,$B$,and $C$ in the ratio $2:3:4$,but was erroneously distributed in the ratio $7:2:5$. As a result of this,$B$ received ₹ $40$ less. What is the actual amount (in ₹)?

Similar Questions

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

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 salaries of $A, B, C$ are in the ratio $2: 3: 5$. If increments of $15\%, 10\%,$ and $20\%$ are allowed respectively in their salaries,then what will be the new ratio of their salaries?

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

The ratio of the ages of a man and his wife is $4:3$. After $4$ years,this ratio will be $9:7$. If at the time of marriage,the ratio was $5:3$,then how many years ago were they married?

Vedclass Test Series

Exam Paper Generator

Online Exam Module