the ratio of income a to that b is 5 4..., Ratio & Proportion, General Mathematics

Question:The ratio of income of `A` to that of `B` is `5 : 4` and the expenditure of `A` to that of `B` is `3 : 2`. If at the end of the year,  each saves Rs. `800`, the income of `A` is :

A Rs. `1600` 
B Rs. `1800` 
C Rs. `2000` 
D Rs. `2200`

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+ AnswerC

+ ExplanationLet the income of `A` and `B` be ` 5x & 4x` and the expenditures of 

`A`and`B` be`3y` and `2y`. Then,

`5x - 3y = 800` and 

`4x - 2y = 800`.

On solving we get `: x = 400`.

`:. A's` income `= 5x`

`= Rs. 2000`.

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