Question

Ravi got 70% in English and 56% in Biology and the maximum marks of both papers is 100. What percent does he score in Maths, if he scores 60% marks in all the three subjects?. Maximum Marks of Maths paper is 200.

A. 30% B. 40% C. 45% D. 25% E. 57%


Ans : E. 57%​

Answer 1

Answer:

Ravi got 70% in English and 56% in Biology and the maximum marks of both papers is 100. What percent does he score in Maths, if he scores 60% marks in all the three subjects?. Maximum Marks of Maths paper is 200.

A. 30% B. 40% C. 45% D. 25% E. 57%

Ans : E. 57%

Answer 2

Ravi scores 57% in Maths

Given :

Ravi got 70% in English and 56% in Biology and the maximum marks of both papers is 100

Maximum Marks of Maths paper is 200.

Ravi scores 60% marks in all the three subjects

To find :

The percent Ravi scores in Maths

A. 30% B. 40% C. 45% D. 25% E. 57%

Solution :

Step 1 of 3 :

Calculate marks obtained in English and Biology

Here it is given that the maximum marks of English and Biology is 100

Now Ravi got 70% in English and 56% in Biology

∴ Marks obtained by Ravi in English

$\displaystyle \sf{ = 100 \times \frac{70}{100} }$

$= 70$

Now Marks obtained by Ravi in English

$\displaystyle \sf{ = 100 \times \frac{56}{100} }$

$\sf= 56$

Step 2 of 3 :

Form the equation to find Ravi scores in Maths

Let Ravi scores in Maths = x

Total marks obtained in three subjects

= (70 + 56 + x)

= (x + 126)

Maximum Marks of Maths paper is 200

Total maximum marks in three subjects

= 100 + 100 + 200

= 400

Since Ravi scores 60% marks in all the three subjects

∴ Marks obtained by Ravi in three subjects

$\displaystyle \sf{ = 400 \times \frac{60}{100} }$

$\sf = 240$

By the given condition

$\displaystyle \sf{ x + 126 = 240}$

Step 3 of 3 :

Calculate the percent Ravi scores in Maths

$\displaystyle \sf{ x + 126 = 240 }$

$\displaystyle \sf{ \implies x = 240 - 126}$

$\displaystyle \sf{ \implies x = 114}$

∴ The percent Ravi scores in Maths

$\displaystyle \sf{ = \frac{114}{200} \times 100\% }$

$\displaystyle \sf{ = \frac{114}{2} \% }$

$\displaystyle \sf{ = 57\% }$

Hence the correct option is E. 57%

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