Arun spent 60% of his monthly salary on accommodation, 15% of remaining salary on entertainment and remaining salary he saved. If the difference of amount spent on accommodation and his saving is Rs 3510, then find his monthly salary?
Question
Arun spent 60% of his monthly salary on accommodation, 15% of remaining salary on entertainment and remaining salary he saved. If the difference of amount spent on accommodation and his saving is Rs 3510, then find his monthly salary?
Solution
Let's assume Arun's monthly salary is x.
Step 1: Calculate the amount spent on accommodation: Arun spent 60% of his monthly salary on accommodation, which is 0.6x.
Step 2: Calculate the remaining salary after accommodation: The remaining salary after accommodation is (1 - 0.6) x = 0.4x.
Step 3: Calculate the amount spent on entertainment: Arun spent 15% of the remaining salary on entertainment, which is 0.15 * 0.4x = 0.06x.
Step 4: Calculate the amount saved: The remaining salary after entertainment is 0.4x - 0.06x = 0.34x.
Step 5: Calculate the difference between the amount spent on accommodation and the amount saved: The difference is 0.6x - 0.34x = 0.26x.
Given that the difference is Rs 3510, we can set up the equation: 0.26x = 3510.
Step 6: Solve for x: Dividing both sides of the equation by 0.26, we get: x = 3510 / 0.26.
Calculating this, we find that Arun's monthly salary is approximately Rs 13,500.
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