Lottery Prize Calculation
The problem states that $96.5\%$ of lottery participants did not win any prize. We are also given that 700 participants won a prize.
Calculating Winning Percentage
To find the total number of participants, we first determine the percentage of participants who won a prize.
- Percentage of winners = $100\% - (\text{Percentage of non-winners})$
- Percentage of winners = $100\% - 96.5\%$
- Percentage of winners = $3.5\%$
Finding Total Participants
Let 'T' represent the total number of participants. We know that $3.5\%$ of the total participants equals the 700 winners.
This can be written as an equation:
$0.035 \times T = 700$
Solving the Equation
To find 'T', we divide the number of winners by the winning percentage (expressed as a decimal):
$T = \frac{700}{0.035}$
$T = \frac{700}{\frac{35}{1000}}$
$T = \frac{700 \times 1000}{35}$
$T = \frac{700000}{35}$
$T = 20000$
Therefore, the total number of participants is 20000.
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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;
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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:
