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Question

20% of a number is more than 20% of 530 by 170. The number is:

The correct answer is

1380

Let the number be \(x\).

According to the problem, 20% of \(x\) is more than 20% of 530 by 170. We can write this as an equation:

\(0.20x = 0.20(530) + 170\)

Now, we solve for \(x\):

\(0.20x = 106 + 170\)

\(0.20x = 276\)

\(x = \frac{276}{0.20}\)

\(x = \frac{276}{\frac{1}{5}}\)

\(x = 276 \times 5\)

\(x = 1380\)

Therefore, the number is 1380.

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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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