Question

The electrical bill and the telephone bill of a family for the month of June were in the ratio 6:16. If 800 rupees more was to be paid for the telephone than for the electricity, how much was paid for each?​

Answer 1

Question The electrical bill and the telephone bill of a family for the month of June were in the ratio 6:16. If 800 rupees more was to be paid for the telephone than for the electricity, how much was paid for each?

Solution

let X be electric bill.

If 800 more was paid .

then,

telephone bill = (X+800)

The Ratio of electric bill and phone bill = 6:16

$\frac{electric \: bill \: }{telephone \: bill} = \frac{6}{16} = \frac{3}{8 } \\ putting \: values : \\ \frac{x}{x + 20} = \frac{3}{8} \\ solving \: by \: cross \: multiplication : \\ 8x = 3(x + 800) \\ 8x = 3x + 2400 \\ 8x - 3x = 2400 \\ 5x = 2400 \\ x = \frac{2400}{5} \\ x = 480$

x = Electric bill = 480

Electric bill = ₹480

Telephone bill = ( X + 800)

telephone bill = (480+800)

Telephone bill = ₹1280

Thanks