Question

A man spends 20% of his salary on food items,25% of the remaining on house rent.33.33% of the remaining on entertainment and 10% of the remaining on children's education.after this he pays Rs 900 as income tax and still have Rs 2340.how many Rs he spends on entertainment?

1 -Rs 9000
2 -Rs 2800
3- Rs 1800
4 -Data inadequate
5 -none of these

Answer 1

Answer:

5 -none of these

Step-by-step explanation:

For easing the calculation,

First we need to know the below conversion,

20% = $\frac{1}{5}$

25% = $\frac{1}{4}$

33.333.. % = $\frac{1}{3}$,

10% = $\frac{1}{10}$

Now, let the salary of the man is x rupees,

After spending 20% on food,

Remaining salary = $x-\frac{x}{5}$ = $\frac{4x}{5}$

After spending 25% on house rent,

Remaining salary = $\frac{4x}{5}-\frac{1}{4}*\frac{4x}{5}=\frac{4x}{5}-\frac{x}{5}=\frac{3x}{5}$

After spending 33.33 % on entertainment,

Remaining salary = $\frac{3x}{5}-\frac{1}{3}\times \frac{3x}{5}=\frac{3x}{5}-\frac{x}{5}=\frac{2x}{5}$

Again after spending 10% on children's education,

Remaining salary = $\frac{2x}{5}-\frac{1}{10}\times \frac{2x}{5}=\frac{2x}{5}-\frac{x}{25}=\frac{9x}{25}$

According to the question,

$\frac{9x}{25}-900=2340$

$\frac{9x}{25}=3240$

$9x = 81000$

$x=9000$

Hence, the amount he spend on entertainment = $\frac{1}{3}\times 9000$

= 3000 rupees.

Answer 2

Answer:

Answer is 1800.

Explanation:

Suppose man has 100 rupees. He spend 20 rupees on food items. He is left with 80 rupees. He spend 25%(1/4 part) of 80 rupees that means 20 rupees on house rent. Salary left = 60. He spend 33.33%(1/3 part) on entertainment that means 20 rupees. Amount left = 40. He spend 10% of 20 on children's education that means 4 rupees. Remaining Amount = 36.

Salary left according to given problem statement= 900+2340 = 3240

That means 36 represents 3240.

1 will represent = 3240/36 = 90

100 ( which we considered total salary ) = 90*100 = 9000

Hence, Salary = 9000.

1800 rupees from salary is spend on food items. Remaining salary= 7200.

25% of remaining that means 1800 is spend on house rent.

Left amount = 5400.

1/3% of left amount that means 1800 is spend on entertainment. ( Answer )