SSC CHSL 6 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

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Question : 71 of 100

Marks: +1, -0

The average weight of 3 persons

A

,

B

and

C

is

60 {kg}

. When

D

joins the group, the average weight becomes

65 {kg}

. When another person

E

whose weight is

3 {kg}

less than that of

D

replaces

A

, the average weight of

B, C, D

and

E

becomes

67 {kg}

. What is the weight of

A

?

$60 {kg}$
$69 {kg}$
$72 {kg}$
$65 {kg}$

Solution:

Total weight of

A, B

and

C

=

Average

\times

Number of persons

=60 × 3=180 {kg}

Total weight of

A, B, C

and

D

=65 × 4=260 {kg}

∴

Weight of

\;\; D=260-180=80 {kg}

and weight of

E=80-3=77 {kg}

∵

Total weight of

B, C, D

and

E=67 × 4=268 {kg}

∴

Total weight of

B

and

C

=268-80-77=111 {kg}

∴

Weight of

A=180-111=69 {kg}

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