divide 1940 among A B C such that A's share is 7/4 tines B's share and C's share is 5/7 times of B's share
Answers
Step-by-step explanation:
Given :-
Amount Rs. 1940
To find :-
Divide Rs. 1940 among A,B,C such that A's share is 7/4 tines B's share and C's share is 5/7 times of B's share ?
Solution :-
Given that
The amount = Rs. 1940
Let the share of B be Rs. X
Then, The share of A = 7/4 of B's sahre
=> (7/4) of X
=> Rs. 7X/4
Share of C = 5/7 times the share of B
=> (5/7) of X
=> Rs. 5X/7
Total shares of A,B and C
=> (7X/4)+(X)+(5X/7)
LCM of 4 and 7 = 28
=> [(7X×7)+(28×X)+(5X×4)]/28
=> (49X+28X+20X)/28
=> 97X/28
According to the given problem
Total amount is to be divided = Rs. 1940
=> 97X/28 = 1940
=> 97X = 1940×28
=> X = (1940×28)/97
=> X = 20×28
=> X = 560
B's Share = Rs. 560
A's Share = 7X/4
=>(7×560)/4
=> 7×140
=> Rs. 980
C's Share = (5X/7)
=> (5×560)/7
=> 5×80
=> Rs. 400
Answer:-
A's Share = Rs. 980
B's Share = Rs. 560
C's Share = Rs. 400
Check :-
Total amount 980+560+400 = 1940
Verified the given relation in the given problem