Question

ATIO AND PROPORTION :
2. The ratio of marks obtained by Ramesh, Suresh and Naresh in an examination is 12:8:15. Find
the marks obtained by Suresh and Naresh , if Ramesh scored 15
marks less than that of Naresh​

Answer 1

Answer:

Marks obtained by Suresh = 40

Marks obtained by Naresh = 75

Step-by-step explanation:

Given,

Ratio of marks obtained by Ramesh, Suresh and Naresh in an examination is 12:8:15.

Let,

Marks obtained by Ramesh be 12a

Marks obtained by Suresh be 8a

Marks obtained by Naresh be 15a

According to this question :

= > Ramesh scored 15 marks less than that of Naresh

= > marks of Ramesh = marks of Naresh - 15

= > 12a = 15a - 15

= > 15 = 15a - 12a

= > 15 = 3a

= > 15 / 3 = a

= > 5 = a

Marks obtained by Ramesh = 12a = 12( 5 ) = 60

Marks obtained by Suresh = 8a = 8( 5 ) = 40

Marks obtained by Naresh = 15a = 15( 5 ) = 75

Answer 2

Answer:

Suresh marks =40

Naresh marks =75

Step-by-step explanation:

Let the common multiple of marks be x

The ratio of marks obtained by Ramesh, Suresh and Naresh in an examination is 12:8:15

Ramesh marks=12x

Suresh marks=8x

Naresh marks=15x

From given condition,

Ramesh scored 15

marks less than that of Naresh

Therefore,

Ramesh marks= Naresh marks -15

12x = 15x-15

15 = 15x-12x

15 = 3x

15/3 = x

5 = x

Therefore, x = 5

Ramesh marks = 12x= 12×5= 60

Suresh marks = 8x= 8×5= 40

Naresh marks = 15x= 15×5= 75