DRDO Multi tasking staff Model paper 7

Let assume initially he had Rs. x
He spent 1/4th of the money on clothes = x/4
∴ Remaining money = 3x/4
He spent 2/5th of the remaining on food = 2/5 × 3x/4 = 6x/20 = 3x/10
Remaining money = 3x/4 - 3x/10 = (15x - 6x)/20 = 9x/20
Again, he spent 1/3rd of the remaining on travel = 1/3 × 9x/20 = 3x/20
Remaining money = 9x/20 - 3x/20 = 6x/20
Also given that he finally left with Rs. 500
Also given that he finally left with Rs. 500
⇒ 6x = 10,000
⇒ x = 10000/6 = Rs. 1666.66