Question

Alka spends 80% of the money she receives every month and saves

Rs 10,000. How much money does she get monthly?​

Answer 1

Given :

• Alka spends 80% of the money she receives every month and saves Rs 10,000

To Find:

• How much money does she get monthly?

${ \large{ \sf{ \underbrace{ \underline{Understanding \: the \: concept \: }}}}}$

★ Now, as we have given the percentage she has spent and the amount of money she saved. Let's firstly find the percentage she saved and then as we have the money she saved so, with these clues we can find her monthly income.

Solution:

❒ Let her total income be represented as x

~ Now, let's firstly the perimeter of money she saves every month

★We know,

• Total Percentage of her income = 100
• Percentage she spends = 80

★ So,

• Percentage she saves = Percentage of Total Income - the percentage she spends

★ Substituting,

$\longmapsto \rm \: \: percentage \: she \: saves = 100\% - 80\% \\ \\ \longmapsto \rm \: \: percentage \: she \: saves ={ \boxed{ \pmb{20\%}}} \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Henceforth, she saves 20%

★ According to the question,

• The amount of money she saves = 1,0000

★ Hence,

${ : \implies} \sf \: 20\% \: of \: x = 10000 \\ \\ \\ { : \implies} \sf \frac{20}{100} \times x = 10000 \: \: \: \\ \\ \\ { : \implies} \sf \frac{2}{10} \times x = 10000 \: \: \: \: \\ \\ \\ { : \implies} \sf \frac{2x}{10} = 10000 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf 2x = 10000 \times 10 \: \: \: \: \: \\ \\ \\ { : \implies} \sf 2x = 100000 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf x = \cancel \frac{100000}{2} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf { \purple{ \underline{ \boxed{ \pmb{ \frak{x = 50000}}}} \bigstar}} \: \: \: \: \: \: \: \: \: \:$

• Henceforth her monthly income is Rs.50000

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Answer 2

Answer:

Let her total income be represented as x

~ Now, let's firstly the perimeter of money she saves every month

★We know,

Total Percentage of her income = 100

Percentage she spends = 80

★ So,

Percentage she saves = Percentage of Total Income - the percentage she spends

Henceforth her monthly income is Rs.50000

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