General Aptitude › Ratio and Proportion › Question #4742
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QPervez, Sunny, and Ashu's income-to-expenditure ratios are 3: 7: 4, and their expenditure-to-income ratios are 4: 3: 5, respectively. Find Ashu's savings if Pervez saves Rs 300 out of 2400.

ID: #4742 Ratio and Proportion 273 views
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#4742Q ID
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Ratio and ProportionTopic
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  • A 570 ✔ ✖
  • B 560 ✔ ✖
  • C 565 ✔ ✖
  • D 575 ✔ ✖
Correct Answer

Explanation


Let the income of Pervez: Sunny: Ashu = 3x, 7x, 4x
The income of Pervez = 3x = 2400 (given in the question)
That means x = 2400/3 = 800
Now, the income of Sunny = 7x = 7*800 = 5600
Similarly the income of Ashu = 4x = 4*800 = 3200

Now,
Their expenditure is in the ratio of 4: 3: 5
So, let their expenditure is 4y, 3y, 5y
The expenditure of Pervez = income of Pervez - saving of Pervez
Or, expenditure of Pervez = 4y = 2400-300 = 2100
Or, y = 2100/4 = 525
Here 4y comes from expenditure's ratio
Similarly, the expenditure of Sunny = 3y = 3* 525 = 1575
The expenditure of Ashu = 5y = 5*525 = 2625

Saving's of Ashu = Income of Ashu - Expenditure of Ashu
Saving's of Ashu = 3200- 2625 = 575

That's correct! The income ratio of Pervez, Sunny, and Ashu is 3:7:4 and their expenditure ratio is 4:3:5. You correctly calculated that Pervez has an income of 2400 and expenditure of 2100, Sunny has an income of 5600 and expenditure of 1575, and Ashu has an income of 3200 and expenditure of 2625. That means Ashu has a saving of 575. Great work!
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