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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?
Question

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?

A.

Rs. 14000

B.

Rs. 13000

C.

Rs. 8000

D.

Rs. 5000

Correct option is B

Given:
Ratio of incomes of Anil and Vikas = 8 : 5
Vikas gets Rs. 3000 less than Anil.
Solution:
Let the incomes of Anil and Vikas be 8x and 5x, respectively.
According to the Question, the difference in their incomes is Rs. 3000, so:
8x − 5x = 3000
3x = 3000
x = 30003\frac{3000}{3}​ = 1000
Now,
Anil's income = 8x = 8 × 1000 = 8000
Vikas's income = 5x = 5 × 1000 = 5000
Total income = 8000 + 5000 = 13000
Thus, the total income of Anil and Vikas is Rs. 13,000.

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