Question

Ela spends 1/3 of her income on clothes, 1/5 of the remaining on food, 1/4 of the remaining on travelling and is left with rs 2400/-. How much money does she have in the beginning? Select one:

a. Rs. 6250

b. Rs. 6750

c. Rs. 6000

d. Rs. 6050

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$

$<b><i><font face= Copper black size=4 color=blue>$
Here is your answer.
Let the total income is Rs x
Ela spend on clothes= x/3

Now Remaining income =
$= x - \frac{x}{3} \\ = \frac{3x - x}{3} \\ = \frac{2x}{3}$
Ela spend on food=
$= \frac{1}{5} \times \frac{2x}{3} \\ = \frac{2x}{15}$
Now Remaining income is
$= \frac{2x}{3} - \frac{2x}{15} \\ = \frac{10x - 2x}{15} \\ = \frac{8x}{15}$
Ela spend on traveling is
$= \frac{1}{4} \times \frac{8x}{15} \\ = \frac{2x}{15}$
ATQ
$x = \frac{x}{3} + \frac{2x}{15} + \frac{2x}{15} + 2400 \\ x - \frac{x}{3} - \frac{2x}{15} - \frac{2x}{15} = 2400 \\ \frac{15x - 5x - 2x - 2x}{15} = 2400 \\ \frac{6x}{15} = 2400 \\ x = \frac{2400 \times 15}{6} \\ x = 6000$
Hence Ela total income is Rs 6000

Option (C) Rs 6000 is your answer
$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:it\: helps\: you}}}}}}}}}}}}}}}$