1)Mean marks of Salim in 5 subjects is 78. He got 76, 78, 80 and 77 marks respectively in English, Maths , Science, Social science marks. How many marks did Salim get in Hindi?
1)75
2)79
3)82
4)84
Answers
Answer:
Mean is same as Average. So,
Sum of Numbers
Average = -----------------------------------
Total Numbers
Let x be the marks Salim got in Hindi
= 76 + 78 + 80 + 77 + x
--------------------------------- = 78
5
311 + x/5 = 78
(Transversing of 5 to RHS)
311 + x = 78 × 5
311 + x = 390
(Transversing of 311 to RHS)
x = 390 - 311
x = 79
So, Salim got 79 marks in Hindi
Checking
76 + 78 + 80 + 77 + 79/5
= 390/5
= 78
So, the answer is Correct
Salim got 79 marks in Hindi if Mean marks of Salim in 5 subjects is 78 and he got 76, 78, 80 and 77 marks respectively in English, Maths, Science, Social science marks
Given:
- Mean marks of Salim in 5 subjects is 78.
- Salim got 76, 78, 80 and 77 marks respectively in English, Maths , Science, Social science marks.
To Find:
- Salim marks in Hindi
Solution:
Step 1:
Calculate Total marks by multiplying mean marks with number of subjects.
Total Marks in 5 Subjects = 78 x 5
=> Total Marks in 5 Subjects = 390
Step 2:
Add Marks of English, Maths , Science, Social science subjects
Total Marks in 4 Subjects = 76 + 78 + 80 + 77
Total Marks in 4 Subjects = 311
Step 3:
Subtract Marks in 4 subjects ( except Hindi) from Marks in 5 subjects to get marks in Hindi
390 - 311
= 79
Hence, Salim got 79 marks in Hindi
Correct option is 2) 79