Math, asked by kanishka176, 2 months ago

bittu spends 1/3 of the money with him on books , 1/4 of the remaining on food and 2/5 of the remaining on travel . Now , he is left with Rs 450 . How much money didi he have in the beginning ?​

Answers

Answered by raspreetkaurgurm
1

Answer:

2250

Step-by-step explanation:

let bittu have x ruppe

he spent 1/3 of. x than remained x-x/3=2x/3

than 1/4of 2x /3 = x/6

now remaining x/2

again spent 2/5of x/2=x/5

that is equal to 450

hence x = 2250

Answered by PharohX
53

Step-by-step explanation:

Let total money be x

on \:  \: books \:  \:  =  \frac{x}{3}  \\

Remaining

 = x -  \frac{x}{3}  \\  =  \frac{2x}{3}

on \:  \: food \:  =  \:  \frac{1}{4} (x -  \frac{x}{3} ) \\  \\  =  \frac{x}{6}

remaining \:  \:  =  \frac{2x}{3}  -  \frac{x}{6}  =  \frac{x}{2}  \\

travel \:  =  \frac{2}{5} ( \frac{x}{2} ) =  \frac{x}{5}  \\

remaining \:  \:  =  \frac{x}{2}  -  \frac{x}{5}  =  \frac{3x}{10}  \\

So this remaining money is ₹450

then

 \frac{3x}{10}  = 450  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\ x =  \frac{450 \times 10}{3}  = 1500

then he had ₹1500

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