₹ 864 is divided among A, B and C such that 8 | vedclass

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

Question

(B) Let the shares of $A, B$,and $C$ be $A, B$,and $C$ respectively.Given that $8A = 12B = 6C$.To find the ratio $A:B:C$,divide the entire equation by

Vedclass · Accepted Answer

$192$

Vedclass · Answer

(B) Let the shares of $A, B$,and $C$ be $A, B$,and $C$ respectively.Given that $8A = 12B = 6C$.To find the ratio $A:B:C$,divide the entire equation by the least common multiple of $8, 12$,and $6$,which is $24$.$\frac{8A}{24} = \frac{12B}{24} = \frac{6C}{24}$$\frac{A}{3} = \frac{B}{2} = \frac{C}{4}$Therefore,the ratio $A:B:C = 3:2:4$.The total sum is $₹ 864$.The sum of the ratio parts is $3 + 2 + 4 = 9$.$B$'s share $= \frac{2}{9} 	imes 864 = 2 	imes 96 = ₹ 192$.

₹ $864$ is divided among $A, B$ and $C$ such that $8$ times $A$'s share is equal to $12$ times $B$'s share and also equal to $6$ times $C$'s share. How much (in ₹) did $B$ get?

Similar Questions

The present ages of three persons are in the ratio $4: 7: 9$. Eight years ago,the sum of their ages was $56$. Find their present ages (in $years$).

What should be subtracted from $15, 28, 20,$ and $38$ so that the remaining numbers are in proportion?

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 $Rs.$):

Annual incomes of Amit and Varun are in the ratio $3:2,$ while the ratio of their expenditures is $5:3.$ If at the end of the year each saves $Rs. 1000,$ the annual income of Amit is (in $Rs.$):

If $A: B = 2: 3$,$B: C = 4: 5$,and $C: D = 6: 7$,then $A: B: C: D$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module