Question

a man had a certain amount with him. he spent 20%of that to buy an article and 5% of the remaining on transport. then he gifted rs 120. if he is left with rs 1400 the amount he spent on transport is

Answer 1

Answer:

Rs.80

Step-by-step explanation:

let total amount be x

according to question

x×80/100×95/100 =(120+1400)

x×4/5×19/20=1520

x=1520×100/76=2000

total amount=2000

amount spent on transport

=2000×80/100×5/100=Rs.80

Answer 2

The amount of money that the man spend on transport is Rs. 80.

• Let the amount of money that the man had with him be x.

• Now he spend 20% of the amount to buy an article and later 5% of the remaining on the transport.

20% of the amount is 0.2x and 5% of the remaining amount will be 0.05×0.8x = 0.04x.

• Total money spent on the article and on transport is 0.2x + 0.8×0.05x .

• Now later he gifted Rs. 120 . Now the amount remaining with him is Rs. 1400.

• The given equation becomes:

0.2x + 0.04x + 120 + 1400 = x

0.24x + 1520 = x

0.76x = 1520

x =Rs. 2000

• The total amount that the man had is Rs. 2000.

• Now the amount of money that he spend on the transport is 0.04x = 0.04×2000 = Rs. 80.