A boy spends 3/4 of his pocket money and then 4/5 of the remainder is given to his sister. If he has rupees 40 left, what did he have at first.
Answers
Step-by-step explanation:
A boy spends 3/4 of his pocket money , that means 1/4 is left
4/5 of the remainder is given to sister
he has Rs40 left
total money as remainder=5/5
money left from remainder after giving to sister=5/5-4/5=1/5
1/5=Rs 40
then , 5/5=40 x 5 =Rs 200
therefore total money as remainder before givinf to sister = Rs 200
3/4 of pocket money spent , then left is 1/4
as we know remainder money was Rs 200 so 1/4 =Rs200
Hope it's helps you
then 3/4 = 200 x 3 =Rs600
total money at the begining or total pocket money before spending=money spent + money left
Rs600+Rs200= Rs 800
therefore the boy had Rs 800 at first
Answer
800
Step-by-step explanation:
Let pocket money be = x
x-3/4x is amount remaining with him after spending money
x-3/4x=x/4(on solving)
now he gave 4/5 of remaining about to his sister
= x/4 - 4/5 of x/4
=x/4 - x/5
=x/20
amount remaining with him is = 40
x/20 = 40
x = 800
poket money = 800