A man earns x%on the first rs 2000 and y% on the rest of his income. If he earns rs 700 from income of rs 4000 and rs 900 from if his income is rs 5000 find x%. Please Answer it as soon as possible.
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3
When total income is Rs.4000, a man earns x% on first Rs.2000 and y% on Rs.2000.
100
2000x
+
100
2000y
=700
=20x+20y=700
=2x+2y=70 (i)
When total income is Rs. 5000, a man earns x% on first Rs.2000 andy% on Rs.3000.
100
2000x
+
100
3000y
=900
=20x+30y=900
=2x+3y=90 (ii)
Subtracting (ii) from (i) we get,
2x+3y=90
2x+2y=70
- - -
y=20
Putting the value of y in equation (i) we get,
=>2x+2y=70
=>2x+2.20=70
=>2x=70−40
=>x=
2
30
=>x=15
A man earns 15percent.
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