Question

nicky gets 40% of the total marks and 20 marks more than the passing marks sam who takes the same test gets 35% of maximum marks and fails by 15 marks what is passing marks of the rest?

Answer 1

Answer:

Passing marks of the rest = 260

Step-by-step explanation:

Let T be the total marks

It is given that,

1). nicky gets 40% of the total marks and 20 marks more than the passing marks

The passing mark = $\frac{40T}{100}$ - 20

2). sam who takes the same test gets 35% of maximum marks and fails by 15 marks

The passing mark = $\frac{35T}{100}$ +15

Let T be the total marks

To find the total marks.

$\frac{40T}{100}$ - 20 = $\frac{35T}{100}$ +15

$\frac{5T}{100}$ = 35

Therefore, T = 700

To find the passing marks

The passing mark = $\frac{40T}{100}$ - 20

                = $\frac{40X700}{100}$ - 20 = 280-20 = 260

Therefore, passing marks of the rest = 260

Answer 2

Answer:

260 marks

Step-by-step explanation:

Define x:

Let x be the total marks

Nicky gets 40% of the total marks:

Nicky = 0.4x

Nick scored 20 marks more than the passing marks:

Passing Marks = 0.4x - 20

Sam scored 35% of the total marks:

Sam = 0.35x

Sam failed by 15 marks

Sam = 0.4x - 20 - 15 = 0.4x - 35

Solve x:

Sam =  0.35x

Sam = 0.4x - 35

0.35x = 0.4x -35

0.05x = 35

x = 5 ÷ 0.05 = 700

Find the passing marks:

Passing marks = 0.4x - 20

Passing marks = 0.4(700) - 20 = 260 marks

Answer: The passing marks is 260