CBSE Class 10 Answered

(2)

let the number of days=x

so daily expenses=360/x

if number of days is increased by 4, then num of days=x+4

so

per day exp=360/(x+4)

he needs to then cut down his exp. by Rs.3

 so

360/x-[360/(x+4)]=3

360[x+4-x]=3[x][x+4]

120 x 4=x(x+4)

(x+24)(x-20)=0

so

 x=20

so num of days=20

chk

per day exp=18 Rs.

 if days become 20+4=24 then per day exp=360/24=15

 which is Rs. 3 less than Rs. 18.

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