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
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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 =
= 27.55%
#Learn more:
The marks of 3 students A, B and C are in the ratio 10:12:15. If the maximum marks of the paper are 100, then the marks of B?
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