Question

a men spends 1/3 of the money with him on clothes , 1/5 of the remaining on food and 1/4 of remaining on travel. now , he have left with ₹2600. how much did he had at starting ?

I know answer but there is no explanation pls give answer with explanation
I will mark you as brainliest​

Answer 1

let the amount of money be x

cloths 1/3 X x=rs.x/3

balance = x- x/3 = 2x/3

food = 1/5 X 2x/3 = 2x/15

balance = 2x/3 - 2x/15= 8x/15

travel = 1/4 X 8x/15 = 2x/15

now he has 100 rupees

2x/5 = 100

2x= 500

x = 500/2

x = 250

Answer 2

$\huge\fbox\red{❥Solution:}$

Let the amount of money be x.

$\underline\green{ᴄʟᴏᴛʜᴇŞ }\: = \: \frac{1}{3} \times x = ʀŞ. \frac{ x}{3}$

$\underline\green{ʙᴀʟᴀɴᴄᴇ }\: = \: x - \frac{x}{3} = \frac{2x}{3}$

$\underline\green{ғᴏᴏᴅ} = \frac{1}{5} \times \frac{2x}{3} = \frac{2x}{15}$

$\underline\green{ʙᴀʟᴀɴᴄᴇ} = \frac{2x}{3} - \frac{2x}{15} = \frac{8 \times }{15}$

$\underline\green{ᴛʀᴀᴠᴇʟ} = \frac{1}{4} \times \frac{8x}{15} = \frac{2x}{15}$

Now he has 100 rupees.

$\frac{2 x }{5} = 100$

$2x = 500$

$x = \frac{500}{2}$

$\fbox\pink{x = 250}$