The ratio of the incomes of P and Q is `5:4.` The ratio of their expenditure is `4:3` The savings of P more then that of Q by `16(2)/(3)%.` What percentage of his income does P spend ?A. `52(2)/(3)%`B. `53(1)/(3)%`C. `54(1)/(3)%`D. `51(2)/(3)%`

The ratio of the incomes of P and Q is `5:4.` The ratio of their expen

1.	The ratio of the incomes of P and Q is `5:4.` The ratio of their expenditure is `4:3` The savings of P more then that of Q by `16(2)/(3)%.` What percentage of his income does P spend ?A. `52(2)/(3)%`B. `53(1)/(3)%`C. `54(1)/(3)%`D. `51(2)/(3)%`
Answer» Correct Answer - B Let the incomes of P and Q be Rs 5x and Rs 4x respectively . Let the expenditure of P and Q be Rs 4y and Rs 3y respectively Saving of P =Rs(5x-4y) Savings of Q =Rs(4x-3y) `therefore 5x-4y=(4x-3y)(1+(16(2)/(3))/(100))` `implies 5x-4y =(4x-3y)((7)/(6))` `implies 30x-24y=28x-21y` `implies 2x=3y` Required percentage `=(4y)/(5x)(100)` `=(4)/(3)((2)/(3))(100)=53(1)/(3)%`

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The ratio of the incomes of P and Q is `5:4.` The ratio of their expenditure is `4:3` The savings of P more then that of Q by `16(2)/(3)%.` What percentage of his income does P spend ?A. `52(2)/(3)%`B. `53(1)/(3)%`C. `54(1)/(3)%`D. `51(2)/(3)%`

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