A book distributor sends out standardized packages weighing $1, 1.5$ or $2$ kilograms. If during one week $40$ per cent of the packages weigh $1$ kg, $50$ per cent weigh $1.5$ kg and $10$ per cent weigh $2$ kg, what is the average weight in kilograms of the parcels that week?

1.1

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1.25

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1.35

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Solution

The correct option is D 1.35
$40 %$ of the package weight $1$ kg, $50 %$ weigh $1.5$ kg and $10 %$ weight is $2$ kg.
$∴$ Average weight $=$ $\frac{40 \times 1 + 50 \times 1.5 + 10 \times 2}{100}$
$= \frac{40 + 75 + 20}{100}$
$= \frac{135}{100}$
$= 1.35$

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A book distributor sends out standardized packages weighing 1,1.5 or 2 kilograms. If during one week 40 per cent of the packages weigh 1 kg, 50 per cent weigh 1.5 kg and 10 per cent weigh 2 kg, what is the average weight in kilograms of the parcels that week?

The correct option is D 1.3540% of the package weight 1 kg, 50% weigh 1.5 kg and 10% weight is 2 kg.∴ Average weight = 40×1+50×1.5+10×2100=40+75+20100=135100=1.35

A book distributor sends out standardized packages weighing $1, 1.5$ or $2$ kilograms. If during one week $40$ per cent of the packages weigh $1$ kg, $50$ per cent weigh $1.5$ kg and $10$ per cent weigh $2$ kg, what is the average weight in kilograms of the parcels that week?

The correct option is D 1.35
$40 %$ of the package weight $1$ kg, $50 %$ weigh $1.5$ kg and $10 %$ weight is $2$ kg.
$∴$ Average weight $=$ $\frac{40 \times 1 + 50 \times 1.5 + 10 \times 2}{100}$
$= \frac{40 + 75 + 20}{100}$
$= \frac{135}{100}$
$= 1.35$