Question

A man spends (1/7) of his salary on food and (1/2) of the remaining on clothing and (1/3) of the remaining on entertainment. he is still left with rs6000. find his salary?

Answer 1

Let x be his salary. Now deduct mentioned amounts from x
x-1/7x-1/2x-1/3x=6000
on solving x=252000

Answer 2

Answer:

Money spend on entertainment is Rs.300.

Step-by-step explanation:

Given : A man spends (1/7) of his salary on food and (1/2) of the remaining on clothing and (1/3) of the remaining on entertainment. He is still left with Rs 6000.

To find : His salary?

Solution :

Let man's salary be Rs. x

Money spend on food is $\frac{x}{7}$

Money spends on clothing is

$(x-\frac{x}{7})\times\frac{1}{2}=\frac{6x}{7}\times\frac{1}{2}=\frac{3x}{7}$

Money spend on entertainment is

$\frac{(x-\frac{x}{7}-\frac{3x}{7}}{3}=\frac{7x-4x}{7\times3}=\frac{x}{7}$

Now, money left =600

i.e. $x-\frac{x}{7}-\frac{3x}{7}=600$

$\frac{7x-5x}{7}=600$

$\frac{2x}{7}=600$

$x=\frac{600\times 7}{2}$

$x=2100$

Money spend on entertainment is

$=\frac{2100}{7}=300$

Therefore, Money spend on entertainment is Rs.300.