Question

Mr x spend 20% of his monthly income on household expenditure, out of the remaining 25% he spends on childrens education, 15% on transport, 15% on medicine and 10% on entertainment. he is left with rs. 9800 after incurring all these expenditure. what is his monthly income

Answer 1

Solution :-

Let Mr X monthly income be Rs. 100

Then, money spent on household expenditure =100×20/100 = Rs. 20 

∴ Remaining amount
= 100 – 20 = Rs. 80 

Money spent on children’s education 

=80×25/100 = Rs. 20 

Money spent on transport 

=80×15/100 = Rs. 12 

Money spent on medicine 

=80×15/100 = Rs. 12 

Money spent on entertainment 

=80×10/100 = Rs. 8 

∴ Last remaining amount 

= 100 – (20 + 20 + 12 + 12 + 8) 

= 100 – 72 = Rs. 28 

Now, Rs. 28 is left, when total income is Rs. 100 

Rs. 1 is left, when total income =100/28

∴ Rs. 9800 is left, when total income 

=100/28×9800 

= 35000Rs. Ans

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Answer 2

The "monthly income" of x is Rs. 35000

Given:

20% on "household expenditure" is spend out of the total income.

Out of the remaining amount, he spent

25% on "children education",

15% on "transport",

15% on "medicine",

10% on "entertainment".

To find:

The monthly income of x

Solution:

Let Mr. X's monthly income be Rs. 100

X spent money on household expenditure $= 100 \times \frac {20}{100} = Rs. 20$

∴ Remaining amount

= 100 - 20 = Rs. 80

X spent money on children education $= 80 \times \frac {25}{100} = Rs. 20$

X spent money on transport $= 80 \times \frac {15}{100} = Rs. 12$

X spent money on medicine $= 80 \times \frac {15}{100} = Rs. 12$

X spent money on entertainment $= 80 \times \frac {10}{100} = Rs. 8$

\therefore Last remaining money

= 80 - ( 20 + 12 + 12 + 8)

= 80 - 52 = Rs. 28

Rs. 28 is left, when the total income is Rs. 100

Rs. 1 is left, when the total income $= \frac {100}{28}$

$\therefore$ Rs. 9800 is left, when the total income will be $= \frac {100}{28} \times 9800$

= Rs. 35000