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The monthly income of Ranjith is Rs. 28000 and his savings is Rs.Y. When his monthly income is increased by 20% and expenditure is decreased by 10%, then his savings become Rs. 19200. What is the value of Y?Marks : 2Negative Marks : 0Answer hereRs.8000Rs.10000Rs.12000Rs.14000

Question

The monthly income of Ranjith is Rs. 28000 and his savings is Rs.Y. When his monthly income is increased by 20% and expenditure is decreased by 10%, then his savings become Rs. 19200. What is the value of Y?Marks : 2Negative Marks : 0Answer hereRs.8000Rs.10000Rs.12000Rs.14000

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Solution

Let's solve this step by step:

  1. Ranjith's monthly income is Rs. 28000 and his savings is Rs. Y. So, his expenditure is Rs. (28000 - Y).

  2. When his monthly income is increased by 20%, it becomes Rs. (28000 + 20% of 28000) = Rs. 33600.

  3. When his expenditure is decreased by 10%, it becomes Rs. (28000 - Y - 10% of (28000 - Y)).

  4. Now, his savings become Rs. 19200. So, his expenditure is Rs. (33600 - 19200) = Rs. 14400.

  5. Therefore, we can set up the equation: 28000 - Y - 10% of (28000 - Y) = 14400.

  6. Solving this equation will give us the value of Y.

  7. 28000 - Y - (2800 - 0.1Y) = 14400.

  8. Simplifying, we get: 25200 - 0.9Y = 14400.

  9. Rearranging, we get: 0.9Y = 25200 - 14400 = 10800.

  10. Solving for Y, we get: Y = 10800 / 0.9 = Rs. 12000.

So, the value of Y is Rs. 12000.

This problem has been solved

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