Question

It is desired to prepare 300g of 10% mass by mass percentage of sugar solution. How much sugar should be dissolved for preparing this solution? pls explain for class 9 exam ​

Answer 1

Required Answer:-

Firstly, Mass by mass % means:

$= \rm{ \dfrac{mass \: of \: solute}{mass \: of \: solution} \times 100}$

According to question,

• Mass of solution = 300 g
• Mass by mass % = 10 %

Putting the values in the formula,

-> 10 = Mass of sugar / 300 × 100

-> 10 = Mass of sugar / 3

-> Mass of sugar = 30 g

Therefore,

Amount of sugar that should be dissolved in water for preparing this solution is 30 g (ans).

Answer 2

Answer:

Given :-

• It is desired to prepare 300 g of 10% mass by mass percentage of sugar solution.

To Find :-

• How much sugar should be dissolved for preparing this solution.

Formula Used :-

$\clubsuit$ Mass Percentage Formula :

$\small \longrightarrow \sf\boxed{\bold{\pink{Mass\% =\: \bigg\lgroup \dfrac{Mass\: Of\: Solute}{Mass\: Of\: Solution} \times 100 \bigg\rgroup }}}$

Solution :-

Let,

$\leadsto \bf Mass_{(Sugar)} =\: x\: g$

Given :

• Mass% = 10%
• Mass Of Solution = 300 g

According to the question by using the formula we get,

$\small \dashrightarrow \bf Mass\% =\: \dfrac{Mass\: Of\: Sugar}{Mass\: Of\: Solution} \times 100$

$\dashrightarrow \sf 10 =\: \dfrac{x}{300} \times 100$

$\dashrightarrow \sf 10 =\: \dfrac{100x}{300}$

By doing cross multiplication we get,

$\dashrightarrow \sf 100x =\: 300(10)$

$\dashrightarrow \sf 100x =\: 300 \times 10$

$\dashrightarrow \sf 100x =\: 3000$

$\dashrightarrow \sf x =\: \dfrac{30\cancel{00}}{1\cancel{00}}$

$\dashrightarrow \sf x =\: \dfrac{30}{1}$

$\dashrightarrow \sf\bold{\red{x =\: 30\: g}}$

$\therefore$ 30 g of sugar should be dissolved for preparing this solution.

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