Average marks of a student obtained in Physics, Chemistry and Biology is 70. If student obtained 90,

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The average marks of a student obtained in Physics, Chemistry and Biology is $70.$ If the student obtained $90\, marks$ in Mathematics, then the new average is

A

$80$

B

$78$

C

$76$

D

$75$

Solution

Average age of $18$ persons $=32$ years $6$ months

Age of persons left $=65$ years $\times 2+50$ years $\times 1$

$\therefore$ The sum of ages of persons remaining

$=18 \times 32$ years 6 months $-2 \times 65-1 \times 50$

$=585-130-50=405$

$\therefore$ Average age of remaining persons $=\frac{405}{15}=27$ years

Standard 13

Quantitative Aptitude

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