The total students in the three sections of a class are in the ratio 2:3:5. If the strength of each section is increased by 20, the ratio changes to 4:5:7.
What was the total strength of the class before the admission of new students?

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100

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Solution

The correct option is D
100

Let $2 x, 3 x, 5 x$ be the total number of students in the class before new admissions.

Given that $\frac{2 x + 20}{3 x + 20} = \frac{4}{5}$

So, $x = 10$

$∴$ total no. of students before new admissions $= 10 x = 100$

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The total students in the three sections of a class are in the ratio 2:3:5. If the strength of each section is increased by 20, the ratio changes to 4:5:7. What was the total strength of the class before the admission of new students?

The correct option is D 100 Let 2x, 3x, 5x be the total number of students in the class before new admissions. Given that 2x+203x+20 = 45 So, x = 10 ∴ total no. of students before new admissions = 10x = 100

The total students in the three sections of a class are in the ratio 2:3:5. If the strength of each section is increased by 20, the ratio changes to 4:5:7.
What was the total strength of the class before the admission of new students?

The correct option is D
100

Let $2 x, 3 x, 5 x$ be the total number of students in the class before new admissions.

Given that $\frac{2 x + 20}{3 x + 20} = \frac{4}{5}$

So, $x = 10$

$∴$ total no. of students before new admissions $= 10 x = 100$