Question

Q2) Income of a man is Rs. 6000 and his expenses
are Rs. 1800. Find the ratio of (i) amount of savings to
income (ii) expenses to savings (iii) income to
expenses.​

Answer 1

Answer :-

• The ratios are :-
• i) 7 : 10.
• ii) 3 : 7.
• iii) 10 : 3.

Given :-

• The income of a man is Rs 6000 and his expenses are Rs 1800.

To find :-

• The ratio of :-

• i) Amount of savings to income.
• ii) Expenses to savings.
• iii) Income to expenses.

Step-by-step explanation :-

Before finding out the ratios, we have to find his savings, because it has not been given to us.

Now,

The man's income = Rs 6000.

Expenses = Rs 1800.

We know that :-

$\underline{ \fbox{Savings = Income - Expenditure.}}$

Therefore,

His savings = Rs 6000 - Rs 1800 = Rs 4200.

Thus,

Income = Rs 6000.

Expenses = Rs 1800.

Savings = Rs 4200.

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Now, let's find the ratios, since we know his savings.

Ratio of :-

i) Amount of savings to income :-

$\tt \dfrac{42 \!\!\!\not0 \!\!\!\not0}{60 \!\!\!\not0 \!\!\!\not0}$

Cutting off the zeroes,

$\tt\dfrac{42}{60}$

Reducing the numbers,

$\tt \dfrac{7}{10} = 7 : 10.$

So, the ratio is 7 : 10.

ii) Expenses to savings :-

$\tt\dfrac{18 \!\!\!\not0 \!\!\!\not0}{42 \!\!\!\not0\!\!\! \not0}$

Cutting off the zeroes,

$\tt \dfrac{18}{42}$

Reducing the numbers,

$\tt \dfrac{3}{7} = 3 : 7.$

So, the ratio is 3 : 7.

iii) Income to expenses :-

$\tt \dfrac{60 \!\!\!\not0 \!\!\!\not0}{18 \!\!\!\not0 \!\!\!\not0}$

Cutting off the zeroes,

$\tt\dfrac{10}{3} = 10: 3.$

So, the ratio is 10 : 3.

$\underline{\fbox{Hence \: solved! }}$

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