Question

There were 100kg of berries in a shop two weeks ago . The moisture content of these berries was originally 99% but has fallen to 98% . What is the total weight of the berries now?

Answer 1

Answer:

50 Kg

Step-by-step explanation:

Weight of the berries with moisture = 100 kg

Moisture content = 99%

i.e. in 100 kg 99 kg is the weight of water and 1 kg is the weight of berries

Moisture content = Weight of water/Weight of berries with water %

When the moisture content is 98%, let us assume that the weight of water is X

Then

$98=\frac{X}{X+1}\%$

$\implies 98=\frac{X}{X+1}\times 100$

$\implies 0.98=\frac{X}{X+1}$

$\implies 0.98X+0.98=X$

$\implies 0.02X=0.98$

$\implies X=\frac{0.98}{0.02}$

$\implies X=49$ Kg

Therefore, the total weight of the basket of berries

$=49+1$

$=50$ Kg

Hope this answer is helpful.