Divide rs28500 among A,B,C so that B get 3 times of A and 4 times of C .Find the share of each person .
Answers
HEY MATE,LET ME HELP YOU WITH IT.....
IN THE GIVEN QUERY,WE HAVE,
₹28,500 TO BE DIVIDED AMONG A,B &C,IN SUCH A WAY THAT,
B GETS 3 TIMES OF A,AND 4 TIMES OF C.
LET B BE THE COMPARISON VARIABLE HERE.
LET US TRY TO WRITE THE VALUES IN TERMS OF B...
- B GETS HIS OWN SHARE.
- A GETS B\3 RUPEES.
- C GETS B\4 RUPEES.
ALSO,WE KNOW THAT THE SUM TOTAL OF EVERYONE'S SHARE IS 28,500.
∴B+B/3+B\4=28500
=>THE LCM OF DENOMINATORS OF ALL THE FRACTIONS ON LHS IS 12,
∴MULTIPLYING THE WHOLE EXPRESSION BY 12,WE GWT,
=>12B+4B+3B=28500 X 12.
(MULTIPLIED BY 12 TO ELIMINATE DENOMINATORS)
19B=342000
∴B=342000\19=18000
∴SHARE OF B IN RUPEES=₹18000
NOW,AS WRITTEN BEFORE,WE HAVE,
A's SHARE=B/3=18000/3=₹6000.
B's SHARE=B/4=18000/4=₹4500
LET'S VERIFY OUR SOLUTIONS...
A's SHARE+B's SHARE+C's SHARE MUST BE EQUAL TO 28500.
=>6000+18000+4500=25800
=>28500=28500
∴LHS=RHS
=>HENCE VERIFIED.
∴WE HAVE OUR SOLUTION,
A's SHARE=₹6000.
B's SHARE=₹18000.
C's SHARE=₹4500.
HOPE YOU ARE REALLY HELPED MATE...PLEASE CONSIDER MARKING MY ANSWER AS BRAINLIEST....