Question

A person spents one third of the money with him on cloths, one fifth of the
remaining on food and one fourth of the remaining on travel. Now he is left with
Rs. 100, then the money with him at the beginning is
(A) Rs.250
(B)Rs.200
(C)Rs.300
(D)Rs.350
​

Answer 1

Just do like this and thanks for a nice que

Answer 2

Solution :

Let, the money he had at the beginning be x.

It is Given that,

He spent 1/3 for clothes = 1/3 × x

So,

Remaining money = 2/3 × x

It is Given that,

He spent 1/5 of remaining money for food,

So,

1/5 × 2x/3 = 2x/15

Now,

Remaining money = 2x/3 - 2x/15 = 10x - 3x/15 = 8x/15.

It is Given that,

Again, he spent 1/4 of remaining money for travel,

So, 1/4 × 8x/15 = 8x/60

= 4x/30

= 2x/15

Now,

Remaining Money = 8x/15 - 2x/15

= 6x/15

But after spending for travel ge is left with Rs. 100

So,

➮ 6x/15 = 100

➮ 6x = 15 × 100

➮ 6x = 1500

➮ x = 1500/6

➮ x = 250.

Therefore, Rs. 250 he have at the beginning.

Hence,

Option a). Rs. 250 is the correct option.