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There is increment in prices of expenditures, an increase of 10% on food items and 12% on travel. If ratio of Raj's expenditure on food items and travel be 3 : 7, by how much percent his salary should be increased to maintain same expenditure consumption as his present salary is Rs. 20000?

There is increment in prices of expenditures, an increase of 10% on food items and 12% on travel. If ratio of Raj's expenditure on food items and travel be 3 : 7, by how much percent his salary should be increased to maintain same expenditure consumption as his present salary is Rs. 20000? Correct Answer 11.4%

Given,

Raj’s present salary = Rs. 20000

The ratio of expenditure on food items and travels = 3 : 7.

Let expenditure on food items and travel be Rs. 3a and Rs. 7a respectively.

⇒ 3a + 7a = 20000

⇒ 10a = 20000

⇒ a = 2000

Expenditure on food item = 3 × 2000 = 6000

Expenditure on travel = 7 2000 = 14000

Given,

There is increased in expenditure on food items by 10% and food by 12%.

New expenditure on food items = 6000 + 6000 × (10/100) = 6600

New expenditure on travel = 14000 + 14000 × (12/100) = 15680

New salary = 6600 + 15680 = 22280

Increased percentage in salary

= × 100

= 11.4

∴ His salary should be increased by 11.4%.

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