Latest CAT Aptitude Question SOLUTION: The income of P, Q and R are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If P saves 1/4 th of the income then what is the ratio of the savings of P, Q a

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(#M40080243) CAT Category question d Keep an EYE

The income of P, Q and R are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If P saves 1/4 th of the income then what is the ratio of the savings of P, Q and R ?

Asked In CAT MohanRaj (9 years ago)

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Devendra Marghade  (9 years ago)

56: 99: 69

For P, Q & R ,if Income are 7x: 9x: 12x and spendings are 8y: 9y: 15y
For P, given 7x -8y= 7x/4, 21x=32y , y=(21/32)*x
Savings of P=Income- Spending= 7x- 8*(21/32)*x=(224-168)x/32=56x/32, Similarly
Savings of Q= 9x- 9*(21/32)x=(288-189)x/32=99x/32
Savings of R =12x- 15*(21/32)x=(384-315)x/32=69x/32
So Ratio of savings of P,Q & R = 56x/32 : 99x/32 : 69x/32 =56:99:69

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jyotsna kumari  (9 years ago)

7x-8y=x/4
28x-32y=x
27x=32y
y=27x/32
now, x/4:9x-9y:12x-15y
put the value of y=27x/32

8:45:21

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