SATHEE: Quantitative Aptitude Ques 217

Quantitative Aptitude Ques 217

Question: The incomes of A, B and C are in the ratio 7: 9: 12 and their spendings are in the ratio 8: 9: 15. If A saves $ \frac{1}{4}th $ of his income, then the savings of A, B and C are in the ratio of

Options:

A) 69: 56: 48

B) 47: 74: 99

C) 37: 72: 49

D) 56: 99: 69

Show Answer

Answer:

Correct Answer: D

Solution:

Let incomes of A, B and C are Rs. 7x, Rs. 9x and Rs. 12x and their expenses are Rs. 8y, Rs. 9y and Rs. 15y.

$ \therefore $ $ 7x-8y=\frac{7x}{4},\Rightarrow ,7x\times \frac{3}{4}=8y $

$ \Rightarrow $ $ x=\frac{8\times 4}{7\times 3}y=\frac{32}{21}y,\Rightarrow ,y=\frac{21x}{32} $

$ \therefore $ Saving of $ B=9x-9y=9x-9\times \frac{21}{32}x=\frac{99}{32}x $ and saving of $ C=12x-15y $ $ =12x-15\times \frac{21}{32}x=Rs.\frac{69}{32}x $ Hence, required ratio $ =\frac{7}{4}x:\frac{99}{32}x:\frac{69}{32}x $ $ =56:99:69 $

Quantitative Aptitude Ques 216

Quantitative Aptitude Ques 218

Quantitative Aptitude Ques 217

Question: The incomes of A, B and C are in the ratio 7: 9: 12 and their spendings are in the ratio 8: 9: 15. If A saves $ \frac{1}{4}th $ of his income, then the savings of A, B and C are in the ratio of

Options:

Answer:

Solution:

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