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Question

The value of a machine depreciates 10% in the first year, 20% in the second year, and 30% in the third year. If the initial value was Rs. 10,000, what is its value at the end of 3 years?

This question was previously asked in
SSC CGL 2025 Tier 1 Question Paper (25-Sep-2025) (Shift 3)
The correct answer is
Rs. 5040

To find the machine's value after 3 years, we calculate the depreciation year by year based on the value at the start of each year.

Calculating Machine Depreciation Value

Year 1 Calculation

  • Initial Value: Rs. 10,000
  • Depreciation Rate: 10%
  • Depreciation Amount: $10,000 \times 10\% = 10,000 \times \frac{10}{100} = \text{Rs. } 1,000$
  • Value at End of Year 1: $10,000 - 1,000 = \text{Rs. } 9,000$

Year 2 Calculation

  • Value at Start of Year 2: Rs. 9,000
  • Depreciation Rate: 20%
  • Depreciation Amount: $9,000 \times 20\% = 9,000 \times \frac{20}{100} = \text{Rs. } 1,800$
  • Value at End of Year 2: $9,000 - 1,800 = \text{Rs. } 7,200$

Year 3 Calculation

  • Value at Start of Year 3: Rs. 7,200
  • Depreciation Rate: 30%
  • Depreciation Amount: $7,200 \times 30\% = 7,200 \times \frac{30}{100} = \text{Rs. } 2,160$
  • Value at End of Year 3: $7,200 - 2,160 = \text{Rs. } 5,040$

The value of the machine at the end of 3 years is Rs. 5,040.

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Important Questions from Percentage

  1. Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;

  2. The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:

  3. The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.

  4. The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:

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