Question

Susan got 72 marks in English out of 120 and 70 marks in Hindi out of 150. The maximum marks in the mathematics paper was 180. If she got 60% marks out of the total marks of the three papers, how many marks did she get in mathematics ?

Answer 1

Step-by-step explanation:

Maximum marks in English = 120

Marks scored by Susan = 72

Maximum marks in Hindi = 150

Marks scored by her = 70

Maximum marks in Mathematics = 150

Let the marks scored by Susan in Mathematics be " x "

Total marks of three papers = 120 + 150 + 180 = 450

Marks scored by Susan = 72 + 70 + x = 142 + x

Given, she got 60% out of the total marks

$\rm\dashrightarrow \dfrac{142 + x}{450} = 60\%$

$\rm \dashrightarrow \dfrac{142 + x}{450} = \dfrac{60}{100}$

$\rm\dashrightarrow 142 + x = \dfrac{60}{100} \times 450$

$\rm \dashrightarrow 142 + x = 270$

$\rm \dashrightarrow x = 270 - 142$

$\rm \dashrightarrow x = 128$

∴ Marked scored by her in Mathematics = 128