Question-177560

Question Number 177560 by aurpeyz last updated on 07/Oct/22

Commented by aurpeyz last updated on 07/Oct/22

T h a n k y o u S i r

Answered by Rasheed.Sindhi last updated on 07/Oct/22

L e t t h e b i g l i s t c o n t s i n s x d a t a i t e m s

A c o n t a i n s \frac{x}{2} i t e m s

∵ A v e r a g e o f A i s 12

∴ T h e t o t a l o f A i s 12 \times \frac{x}{2} = 6 x

B c o n t a i n s \frac{x}{5} i t e m s

∵ A v e r a g e o f B i s 15

∴ T h e t o t a l o f B i s 15 \times \frac{x}{5} = 3 x

C c o n t a i n s x - (\frac{x}{2} + \frac{x}{5}) = \frac{10 x - 5 x - 2 x}{10} = \frac{3 x}{10}

∵ A v e r a g e o f C i s 6

∴ T h e t o t a l o f C i s 6 \times \frac{3 x}{10} = \frac{9 x}{5}

T h e t o t a l o f b i g l i s t i s

6 x + 3 x + \frac{9 x}{5} = \frac{30 x + 15 x + 9 x}{5} = \frac{54 x}{5}

T h e a v e r a g e o f b i g l i s t = \frac{(54 x) / 5}{x}

= 10.8

Commented by aurpeyz last updated on 07/Oct/22

t h a n k s

Answered by Rasheed.Sindhi last updated on 07/Oct/22

L e t g r a n d l i s t c o n t a i n s 10 d a t a i t e m s

(A n u m b e r d i v i s i b l e b y 2 & 5)

A c o n t a i n s 5 i t e m s (H a l f o f 10)

T o t a l o f A = a v e r a g e \times n u m b e r o f i t e m s

= 12 \times 5 = 60

B c o n t a i n s 2 i t e m s (O n e - f i f t h o f 10)

T o t a l o f B = 15 \times 2 = 30

C c o n t a i n s 10 - (5 + 2) = 3 i t e m s

T o t a l o f C = 6 \times 3 = 18 i t e m s

T o t a l o f g r a n d l i s t = 60 + 30 + 18 = 108

A v e r a g e o f g r a n d l i s t = \frac{108}{10} = 10.8

Commented by aurpeyz last updated on 07/Oct/22

t h a n k s

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