The monthly income of Komal and Asha are in the ratio of 4: 3. Their monthly expenses are in the ratio of 3: 2. However, both save Rs. 600 per month. What is their total monthly income?
- ARs. 8,400
- BRs. 5,600
- CRs. 4,200Correct
- DRs. 2,800
Explanation
Let the monthly income of Komal and Asha be 4x and 3x respectively. Their savings are equal at Rs. 600 each.
Since Income minus Savings equals Expenditure, we can represent their expenses as 4x minus 600 and 3x minus 600. The problem states the ratio of their expenses is 3 to 2.
Setting up the equation: 4x minus 600 divided by 3x minus 600 equals 3 divided by 2.
By cross-multiplying: 2 times (4x minus 600) equals 3 times (3x minus 600) 8x minus 1200 equals 9x minus 1800 Subtracting 8x from 9x and adding 1800 to minus 1200 gives x equals 600.
Komal's income is 4 times 600, which is 2400. Asha's income is 3 times 600, which is 1800. Total monthly income is 2400 plus 1800, which equals 4200.
Therefore, Option C is correct.
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