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22 Mar 2022, 03:50
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
82% (02:44) correct
18%
(03:00)
wrong
based on 125
sessions
History
Date
Time
Result
Not Attempted Yet
Pavel's monthly income is $5250. The ratio of his monthly expenditure to savings is 8:7. From next month, he wants to increase his savings by $550 while his monthly income will remain unchanged . What will be the new ratio of his monthly savings to expenditure ?
A) 3:2
B)2:1
C)8:7
D)4:3
E)3:7
A) 3:2
B)2:1
C)8:7
D)4:3
E)3:7
22 Mar 2022, 04:03
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Explanation:
Monthly income 5250
Savings = 7/15 x 5250
= 2450
Additional savings = 550
Total monthly savings = 550+2450 =3000
Expenditure = 5250 - 3000 = 2250
Saving to expenditure = 3000/2250 = 12/9
= 4/3
IMO-D
Hope my explanation helps to understand. If any doubt do ping me.
Posted from my mobile device
Monthly income 5250
Savings = 7/15 x 5250
= 2450
Additional savings = 550
Total monthly savings = 550+2450 =3000
Expenditure = 5250 - 3000 = 2250
Saving to expenditure = 3000/2250 = 12/9
= 4/3
IMO-D
Hope my explanation helps to understand. If any doubt do ping me.
Posted from my mobile device
22 Mar 2022, 08:25
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SelimAIUB
Hello, everyone. I approached the question slightly differently from the poster above. This problem involves a part-to-whole ratio. That is, $5250 represents a whole amount, while the number of parts is 8 + 7, or 15. Each part will be worth the quotient
\(\frac{5250}{15} = 350\)
Thus, the current amount that Pavel saves is
\(350 * 7 = 2450\)
Next month, if he wants to save an additional $550, we can simply add this amount to our answer from before to get $3000. Finally, be careful not to mix up the ratio, which asks us to find the opposite of the earlier ratio, in which expenditures came first.
\(5250 - 3000 = 2250\)
\(\frac{3000}{2250} = \frac{300}{225} = \frac{4}{3}\)
The answer must be (D). A harder question might have placed the trap answer 3:4 among the options, and perhaps another option that reverted to the earlier E:S ratio. Take this answer set as a gift.
Good luck with your studies.
- Andrew
