After spending 2/5 of an amount, the rest is increased by 25% and becomes 300. Find the amount.
400
Let the original amount be \(x\).
After spending \(\frac{2}{5}\) of it, the remaining amount is \(x - \frac{2}{5}x = \frac{3}{5}x\).
This remaining amount is increased by 25%, giving \(\frac{3}{5}x \times 1.25 = \frac{3}{4}x\).
This equals 300, so \(\frac{3}{4}x = 300\).
Solving gives \(x = 300 \times \frac{4}{3} = 400\).
Hence, the original amount is 400.
Similar Questions
A quantity is increased by 12.5% and then decreased by 8.4%. Find the net percentage change.
Find the approximate value of 77% of 9.09.
In an election between two candidates, 12% of the total votes were declared invalid. One candidate received 65% of the valid votes. If 10000 votes were cast in total, how many valid votes did the other candidate receive?
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
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:
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.
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:
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:
