Rs.60500 is divided among a,b and c such that a receives 2/9 as much as b and c together and b receives 3/7 of as much as a and c together . what is the share of c (in rs) ?
Answers
share of c = Rs 31350 if Rs.60500 is divided among a,b and c such that a receives 2/9 as much as b and c together and b receives 3/7 of as much as a and c together
Step-by-step explanation:
Let Say a , b & c receives
a , b & c respectively
Then a + b + c = 60500
a = (2/9)(b + c)
=> 9a = 2b + 2c Eq1
b = (3/7)(a + c)
=> 7b = 3a + 3c Eq2
3 * eq1 - 2 * eq2
=> 27a - 14b = 6b - 6a + 6c - 6c
=> 33a = 20b
=> a = 20b/33
9a = 2b + 2c
9(20b/33) = 2b + 2c
=> 30b/11 = b + c
=> 30b = 11b + 11c
=> 19b = 11c
=> c = 19b/11
a + b + c = 60500
=> 20b/33 + b + 19b/11 = 60500
=> 20b + 33b + 57b = 33 * 60500
=> 110b = 33 * 60500
=> b = 33 * 550 =
c = 19b/11 = 19 * 33 * 550/11
= 57 * 550
= 31350 Rs
share of c = Rs 31350
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Answer:
Step-by-step explanation: