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If the sum of 15% of a number and 20% of the same number is 70, find the number.
200
250
300
150
200
Combine percentages directly: (15 + 20)% of x = 35% of x = 70, so x = 70 / 0.35 = 200 in seconds.
Sum of 15% of a number and 20% of the same number equals 70
0.15x+0.20x=70
Combine percentages directly: (15 + 20)% of x = 35% of x = 70, so x = 70 / 0.35 = 200 in seconds.
Multiplying the percentages instead of adding them or misinterpreting the sum as a percentage of the final result.
Formulate the Equation
Let the unknown number be x. According to the problem, the sum of 15% of x and 20% of x is 70.
0.15x+0.20x=70
Simplify and Combine
Add the coefficients of x together to combine the percentage terms.
0.35x=70
Calculate the Value
Isolate x by dividing 70 by 0.35 to find the final number.
x=0.3570тАЛ=200
A is correct because the calculated number is 200.
Percentage calculation shortcuts are essential for quickly solving data interpretation and profit-loss questions in competitive exams.
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