Question

solve the 5
question​

Answer 1

Given - Electricity bill and Telephone bill are in the ratio 6 : 16

Let the Common Ratio be : R

$:\implies$  Electricity bill of the Family = 6R

$:\implies$  Telephone bill of the Family = 16R

Given : ₹ 800 more was paid for Telephone than for Electricity

$:\implies$  16R - 800 = 6R

$:\implies$  16R - 6R = 800

$:\implies$  10R = 800

$:\implies$  R = 80

$:\implies$  Electricity bill of the Family = (6 × 80) = 480 ₹

$:\implies$  Telephone bill of the Family = (16 × 80) = 1280 ₹

Answer 2

Ratio of Electricity Bill to Telephone Bill=6:16

Let Electricity Bill=₹6x

Let Telephone Bill=₹16x

Then Total Bill=6x+16x=₹22x

In Question Given.

Telephone bill(16x) is 800 more than Electricity Bill(6x)

Means Telephone Bill=6x+800

Total Cost=(6x+800)+6x

=12x +800.

Both The Total Cost is Same.

A/Q

22x=12x+800

22x-12x=800

10x=800

x=$\frac{800}{10}$

x=80

Electricity bill=6x=6×80=₹480

Telephone Bill=16x=16×80=₹1280

In Question Telephone Bill is 800 more than Electricity Bill.

Check

1280-480

=800

Hence it is Right.

$\boxed{\mathbf{Electricity\:Bill=Rs.480}}$

$\boxed{\mathbf{Telephone\:Bill=Rs.1280}}$