Question

The marks obtained by a student in English, Maths, Science and Hindi in standard X are as follows
(Maximum marks per subject = 100);
The marks obtained in Maths are 1.5 times the marks obtained in English.
He got a total of 64% in these four subjects.
He got the maximum and minimum marks in Science and Hindi respectively, with a dif-
ference of 48 marks between them,
iv. An addition of 50% of the marks obtained in English to the final score gives an overall
percentage of 70%.
What would be his percentage if only Maths and Science Marks are counted?
1) 80
2) 82
3) 84
4) 86
​

Answer 1

Answer:

omg its so difficult I am sorry but I can't ans this

Answer 2

Answer:

82

Step-by-step explanation:

The marks obtained in Maths are 1.5 times the marks obtained in English.

He obtained a 64% marks overall.

He got maximum and minimum marks in Science and Hindi respectively with a difference of 48 marks.

If we add 50% of the current English marks to final score then overall percentage becomes 70%.

Let marks obtained in different subjects be M ( Maths ), S ( Science ), H ( Hindi ), E ( English ).

According to the question, $( M + S + H + E ) 100 / 400$

                                          $= ( M + S + H + E ) / 4 = 64$

                                 ⇒    $( M + S + H + E ) = 64 . 4= 256 ..............(1)$

Also, $M = 1.5 E ................(2)$

$S - H = 48 ....................(3)$

$( M + S + H + 1.5 E ) /4 = 70$ ⇒  $( M + S + H + 1.5 E ) = 280 ................ (4)$

Subtracting (4) - (1) we have,

$0.5 E = 280 - 256 = 24$

⇒ $E = 24 / 0.5 = 48 ................ (5)$

From (2) , we have $M = 1.5 E = ( 1.5 ) 48 = 72 ..............(6)$

From (1), (5), and (6) we have,

$( M + S + H + E ) = 256$ ⇒ $( 72 + S + H + 48 ) = 256$

⇒ $S + H = 256 - 72- 48 = 136 ...............(7)$

Adding (3) and (7) we get,

$2S = 184$ ⇒ $S = 184 / 2 = 92$

If only Maths and Science marks are counted then percentage is given by ( total marks obtained ) × 100 / ( total marks ) = $( 92 + 72) 100 / 200 = 164 / 2 = 82.$

∴Option 2) is correct.