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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. A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?

  2. Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?

  3. What is 12% of 4% of 7% of 2 × 10 6 ?

  4. Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?

  5. If X is 12.25% more than Y. then Y is approximately_____ less than X.

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