Question

Express the first quantity as a percentage of the second :
i)20g of 4kg

Answer 1

The quantities given have different units. First we will make the units same.

4 Kg = 4 × 1000 g

= 4000 g

Now,

Percentage of 20 g in 4000g : -

= (20/ 4000) × 100 %

= 0.005 × 100 %

= 0.5 %

Therefore, 20 g is 0.5 % of 4 kg.

Answer 2

20 g is 0.5% of 4 kg

Given :

The quantities 20 g and 4 kg

To find :

Express the first quantity as a percentage of the second

Process :

Percentage

In study mathematics the term percentage is used. It is denoted by the symbol %

The percentage is a number or ratio which is expressed as a fraction of 100.

In order to calculate percentage we divide the number by whole and multiply by 100

Solution :

Step 1 of 3 :

Write down the given quantities

The given quantities are 20 g and 4 kg

Step 2 of 3 :

Express both quantities with same unit

1 kg = 1000 g

So we have

4 kg = 4000 g

Step 3 of 3 :

Find the percentage

We know that in order to calculate percentage we divide the number by whole and multiply by 100

Hence the required percentage

$\displaystyle \sf{ = \frac{20}{4000} \times 100\% }$

$\displaystyle \sf{ = \frac{1}{200} \times 100\% }$

$\displaystyle \sf{ = \frac{1}{2} \% }$

$\displaystyle \sf{ = 0.5 \: \% }$

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