Amit got thrice as many marks in Maths as in English. The proportion of his marks in Maths and History is 4:3. If his total marks in Maths, English and History are 250, what are his marks in English?Choices:- 120 90 40 80
Question
Amit got thrice as many marks in Maths as in English. The proportion of his marks in Maths and History is 4:3. If his total marks in Maths, English and History are 250, what are his marks in English?Choices:- 120 90 40 80
Solution
Let's denote the marks in English as E, in Maths as M, and in History as H.
From the problem, we know that:
-
M = 3E (Amit got thrice as many marks in Maths as in English)
-
M/H = 4/3 (The proportion of his marks in Maths and History is 4:3)
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M + E + H = 250 (His total marks in Maths, English and History are 250)
We can use these equations to solve for E.
First, let's express M and H in terms of E using the first and second equations:
M = 3E
H = 3M/4 = 3*(3E)/4 = 9E/4
Now, we can substitute M and H in terms of E into the third equation:
3E + E + 9E/4 = 250
Multiply all terms by 4 to get rid of the fraction:
12E + 4E + 9E = 1000
25E = 1000
E = 1000 / 25 = 40
So, Amit got 40 marks in English. The correct answer is 40.
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