Question

In an examination a candidate scores the following percentage of marks English--$44$; Hindi--58; Maths--$74$; Physics--$61$; Chemistry--$62$ If weights $2,4,4,5,3$ respectively allotted to these subjects then the candidate's weighted mean percentage is

• A. $61$
• B. $61.5$
• C. $62$
• D. $62.5$

Answer 1

The correct option is B $61.5$

The percentage of marks English is $44$ and weight is $2$

Then total marks $=44\times 2=88$

The percentage of marks Hindi is $58$ and weight is $4$

Then total marks $=58\times 4=232$

The percentage of marks Maths is $74$ and weight is $4$

Then total marks $=74\times 4=296$

The percentage of marks physics is $61$ and weight is $5$

Then total marks $=61\times 5=305$

The percentage of marks chemistry is $62$ and weight is $3$

Then total marks $=62\times 3=186$

Then total markes $=88+232+296+305+186=1107$

And total weight $=2+4+4+5+3=18$

The weighted mean percentage$=\frac{1107}{18}=61.5$