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07 Dec 2025, 18:51
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D
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Difficulty:
85%
(hard)
Question Stats:
53% (02:24) correct
47%
(02:41)
wrong
based on 182
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History
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Anita started working in January 2014 and used to save 20% of her monthly salary. Her salary increased by 100% in January 2015 and by 200% in January 2016, and her expenses doubled over the two years. What was the percentage increase in her monthly savings between February 2014 and February 2016?
A. 320%
B. 500%
C. 600%
D. 2100%
E. 2200%
A. 320%
B. 500%
C. 600%
D. 2100%
E. 2200%
ankushsambare
Joined: 13 Jun 2022
Last visit: 02 Sep 2026
Posts: 311
Given Kudos: 227
Location: India
Schools: ISB '27 Wharton '26 INSEAD Aug '26
GPA: 2.4
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08 Dec 2025, 00:55
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Let initial monthly salary = S.
February 2014: savings = 20% of S = 0.2S.
January 2015: salary increases 100% → new salary = 2S.
January 2016: salary increases 200% → new salary = 3×(2S) = 6S (so February 2016 salary = 6S).
Initial expenses = S − 0.2S = 0.8S. Expenses doubled over the two years → final expenses = 2 × 0.8S = 1.6S.
February 2016 savings = final salary − final expenses = 6S − 1.6S = 4.4S.
Increase in savings = 4.4S − 0.2S = 4.2S.
Percent increase
=> (4.2S / 0.2S) × 100%
=> 21 × 100%
=> 2100%.
Answer: D.
February 2014: savings = 20% of S = 0.2S.
January 2015: salary increases 100% → new salary = 2S.
January 2016: salary increases 200% → new salary = 3×(2S) = 6S (so February 2016 salary = 6S).
Initial expenses = S − 0.2S = 0.8S. Expenses doubled over the two years → final expenses = 2 × 0.8S = 1.6S.
February 2016 savings = final salary − final expenses = 6S − 1.6S = 4.4S.
Increase in savings = 4.4S − 0.2S = 4.2S.
Percent increase
=> (4.2S / 0.2S) × 100%
=> 21 × 100%
=> 2100%.
Answer: D.
08 Dec 2025, 01:07
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Hello
Lets the initial salary be X
expenses will be 0.8x
salary in 2015 will be 2x
salary in 2016 will be 6x
expenses in 2016 is 1.6x
saving in 2016=6x-1.6x=4.4x
saving in 2014 is 0.2x
% increase is =(4.4x-0.2x)*100/0.2x=2100%
Hence option D is correct
Lets the initial salary be X
expenses will be 0.8x
salary in 2015 will be 2x
salary in 2016 will be 6x
expenses in 2016 is 1.6x
saving in 2016=6x-1.6x=4.4x
saving in 2014 is 0.2x
% increase is =(4.4x-0.2x)*100/0.2x=2100%
Hence option D is correct
