Question:Prices register an increase of `10%` on food grains and `15%` on other items of expenditure. If the ratio of an employee's expenditure on food grains and other items be `2 : 5`, by how much should his salary be increased in order that he may maintain the same level of consumption as before, his present salary being `Rs. 2590 ?`
+ ExplanationLet expenditure on food grains and other items be Rs. 2x and Rs. 5x.
`2x + 5x = 2590`
`or x = 370.`
`:. F = 2 xx 370`
`= 740, 0 = 5 xx 370`
`= 1850.`
New expenditure
`= 110% of 740 + 115% of 1850.`
`= (110/100 xx 740 + 115/100 xx 1850)`
`= Rs. (814 + 2127.50)`
`= Rs. 2941.50.`