Question 58

The ratio of incomes of Anil and Vikas is 8 : 5. If Vikas gets Rs. 3000 less than Anil, then what is the total income of Anil and Vikas?

Let the incomes of Anil and Vikas be proportional to the numbers in the given ratio 8 : 5.

Therefore, take Anil’s income = $$8x$$ and Vikas’s income = $$5x$$, where $$x$$ is a common multiplying factor.

According to the question, Vikas gets Rs. 3000 less than Anil:

$$8x - 5x = 3000$$

Simplifying, we get:

$$3x = 3000 \quad \Rightarrow \quad x = \frac{3000}{3} = 1000$$

Now compute the individual incomes:
Anil’s income = $$8x = 8 \times 1000 = 8000$$ rupees.
Vikas’s income = $$5x = 5 \times 1000 = 5000$$ rupees.

Total income of Anil and Vikas = $$8000 + 5000 = 13000$$ rupees.

Hence, the required total income is Rs. 13000.

Option B which is: Rs. 13000

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