price of the turban
Algebra
Level
1
The servant gets Rs.90 and a turban for his annual work.If he had worked for 9 months he would have got Rs.65 and a turban. Then Find The Value Price of That Turban.
The answer is 10.
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In a year, he would get 90 and a turban. In 9 months (3/4 year), he would get 65 and a turban. So, we conclude that 3/4 value of a year salary is 9 months salary.
Write it in mathematical form (write turban as x):
4 3 ( 9 0 + x ) = 65 + x
So:
3 ( 9 0 + x ) = 4 ( 6 5 + x )
2 7 0 + 3 x = 2 6 0 + 4 x
2 7 0 − 2 6 0 = 4 x − 3 x
1 0 = x