Question

A Tourist has Rs.10000 with him. He calculated that he could spend Rs.x everyday on his holidays. He spent Rs.(x-50) everyday and extended his holidays by 10 days. a) calculate x b) whic value is depicted by the tourist ?

Answer 1

Hi ,

Amount Tourist has = Rs 10000

If he spend Rs x each day

Let the number of days he spent

Rs 10000 = y

Now ,
xy = 10000 -------( 1 )

If he spends Rs ( x - 50 ) , the numberof days he spends the same

amount = ( y + 10 )

( x - 50 ) ( y + 10 ) = 10000
xy + 10x - 50y - 500 = 10000

10000 + 10x - 50y - 500 = 10000

10x - 50y - 500 = 0

Divide each term with 10 we get

x - 5y - 50 =0

x = 5y + 50 ----( 2 )

Put x value in ( 1 )

( 5y + 50 ) y = 10000

5 y^2 + 50y = 10000

Divide each term with 5

y^2 + 10y - 2000 = 0

y^2 - 40y +50y -2000 =0

y ( y - 40 ) + 50 ( y - 40 ) = 0

( y - 40 ) ( y + 50 ) = 0

y - 40 = 0 or y + 50 = 0

y = 40 or y = -50

y should not be negative

y = 40

Put y value in ( 1 )

x × 40 = 10000

x = 10000/ 40

x = 1000/4

x = 250

I hope this helps you.

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