Math, asked by Monikashaw9163, 10 months ago

The marks of three students a, b and c of a class are in the ratio 17:14:18 the marks of students a, b and c are increased by 50%, 10% and 20% respectively. The total marks of students increased by

Answers

Answered by tanisha13485
7

Answer:

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Answered by slicergiza
0

The total marks of students increased by 27.55%

Step-by-step explanation:

Given,

The ratio of the marks of a, b and c = 17:14:18,

Let a's marks = 17x, b's marks = 14x and c's marks = 18x,

i.e. total marks = 17x + 14x + 18x = 49x

Where,

x is any positive real number,

After increasing marks of a, b and c by 50%, 10% and 20% respectively,

New marks of a = 150% of 17x = 1.5(17x) = 25.5x,

New marks of b = 110% of 14x = 1.1(14x) = 15.4x,

New marks of a = 120% of 18x = 1.2(18x) = 21.6x,

Total new marks = 25.5x + 15.4x + 21.6x = 62.5x

Hence, the total increment in marks = \frac{\text{New marks-original marks}}{\text{Original marks}}\times 100

=\frac{62.5x-49x}{49x}\times 100

=\frac{13.5}{49}\times 100

=\frac{1350}{49}

= 27.55%

#Learn more:

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