Question:

Out of the total income, $X$ spends 20% on house rent and 70% of the remaining on household expenditure. If $X$ saves Rs.\ 1800, the total income is

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Chain spends? Multiply sequentially (remaining factor here is $0.8$ then $0.7$).
Updated On: Aug 11, 2025
  • Rs.\ 8000
  • Rs.\ 9500
  • Rs.\ 7500
  • Rs.\ 8500
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The Correct Option is C

Solution and Explanation

If income is $I$, rent $=0.2I$, remaining $=0.8I$. Expenditure on household $=0.7\times0.8I=0.56I$.
Savings $=I-(0.2I+0.56I)=0.24I=1800\Rightarrow I=1800/0.24=7500$.
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