SOLUTION: a man spends 1/4 of his income on food,1/5 on rent and the rest Rs.231 on their items. calculate his total income.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a man spends 1/4 of his income on food,1/5 on rent and the rest Rs.231 on their items. calculate his total income.      Log On


   

Question 881016: a man spends 1/4 of his income on food,1/5 on rent and the rest Rs.231 on their items. calculate his total income.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = his total income
given:
+x+=+%281%2F4%29%2Ax+%2B+%281%2F5%29%2Ax+%2B+231+
+x+-+%281%2F4%29%2Ax+-+%281%2F5%29%2Ax+=+231+
Multiply both sides by +20%2Fx+
+20+-+5+-+4+=+4620%2Fx+
+11+=+4620%2Fx+
+x+=+4620%2F11+
+x+=+420+
Rs. 420
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check:
+x+=+%281%2F4%29%2Ax+%2B+%281%2F5%29%2Ax+%2B+231+
+420+=+%281%2F4%29%2A420+%2B+%281%2F5%29%2A420+%2B+231+
+420+=+105+%2B+84+%2B+231+
+420+=+420+
OK