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Question

The salary of a person is increased by 10%, 20% and 25% successively in three

consecutive years. Find the overall percentage increase in the salary at the end of the

third year.

The correct answer is

65%

Take the starting salary as 100 and apply the three successive rises as multiplying factors 1.10, 1.20 and 1.25.

After the first year: 100 × 1.10 = 110.

After the second year: 110 × 1.20 = 132.

After the third year: 132 × 1.25 = 165.

The salary has grown from 100 to 165, an overall increase of 165 − 100 = 65 on 100, i.e. 65%.

Hence, the answer is 65%.

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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:

  5. The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:

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