Question

Rohan spent 1/2 of his pocket money on lunch, 1/3 on conveyance and gave the remaining money to his sister,sweety. If sweety got 5 rupees, how much pocket money did rohan get? How much did he spend on lunch?

Answer 1

Find the fraction of his money given to his sister:

1 - 1/2 - 1/3 = 1/6

Find the amount of pocket money:

1/6 of his pocket money = Rs 5

6/6 of his pocket money = 5 x 6 = Rs 30

Find the amount he spent on lunch:

1/2 x 30 = Rs 15

Answer: (a) Rohan had Rs 30 (b) He spent Rs 15 on lunch.

Answer 2

I'll give the answer in a different way

let the pocket money of rohan be x

1/2x + 1/3x + 5 = x

5/6x + 5 = x

x - 5/6x = 5

1/6x = 5

x = 30

Rohan's pocket money is 30rupees

1/2 of 30 = 15

so,he spent 15rupees on lunch