Multiple choice

The ratio of the incomes of $A, B$ and $C$ is $3 : 7 : 4$ and the ratio of their expenditure is $4 : 3 : 5$. If in the income of $Rs. 2400$, A saves $Rs. 300$ then the savings of $B$ and $C$ is respectively are

  1. $Rs. 4025$ and $Rs. 575$
  2. $Rs. 1575$ and $2625$
  3. $Rs. 2750$ and $Rs. 1025$
  4. $Rs. 3725$ and $Rs. 1525$
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C Correct answer
AI explanation

Using the given ratios of income and expenditure, we find the actual income of A by solving (3x / 2400) = 300 to get 3x = 3600. This makes B's income 7x = 8400 and C's income 4x = 4800. The expenditure ratio yields the expenditure multiplier as 4y = 4800, meaning y = 1200; therefore, B's expenditure is 3y = 3600 and C's expenditure is 5y = 6000. Subtracting expenditures from incomes gives savings of 8400 - 3600 = 2750 for B, and 4800 - 6000 = 1025 for C. The correct answer is Rs. 2750 and Rs. 1025.

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