Question

The expenses on food, rent and electricity of a family are in the ratio 5 : 15 : 3. The expenditure on food, rent and electricity is increased by 20%, 10% and 30% respectively. The total expenses of family thus increased by how much percent.​

Answer 1

Answer:

THE PERIMETER OF A SQUARE FIELD IS 64 M.

4L = 64 m

L = 16 m

LENGTH WITH RUNNING PATH 16 m + 3.5 m + 3.5 m = 23 m.

AREA OF SQUARE FIELD WITH THE PATH

L × L = 23 m × 23 m

= 529 m2

AREA OF THE SQUARE FIELD

L × L = 16 m × 16 m

256 m2

SO THE AREA OF RUNNING PATH IS

529 m2 - 256 m2

= 273 m2

Answer 2

Answer:

Percentage increase in the total expenses of the family = 14.78%

Step-by-step explanation:

Given,

The ratio of expenses of food, rent and electricity of a family = 5:15:3

The percentage of increase in food, rent and electricity = 20%, 10% and 30%

To find,

Percent increase in the total expenses

Recall the formula

Increase in percentage = $\frac{increase }{Original \ value } X100$

Solution:

The ratio of expenses of food, rent and electricity of a family = 5:15:3,

Food expenses = 5x

Rent expenses = 15x

electricity expenses = 3x

Percentage increase in food expenses =  20%,

Increase in food expenses = $\frac{20}{100} X 5x$ = x

Percentage increase in rent expenses =  10%,

Increase in rent expenses =  $\frac{10}{100} X 15x$ = 1.5x

Percentage increase in rent expenses =  30%

Increase in electricity expenses = $\frac{30}{100} X 3x$ = 0.9x

Total increase in expenses = x+1.5x+0.9x

= 3.4x

Original expenses = 5x+15x+3x = 23x

Percentage increase in total expenses = $\frac{3.4x}{23x} X100$ = 0.1478 ×100 = 14.78%

∴Percentage increase in the total expenses of the family = 14.78%

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