Free Practice Question
PS · Problem Solving
705-805
percent
Tina, Ishan, Abhishek and Fatima jointly started a business and invested a total of Rs. 80. If Tina’s share increases by Rs. 3, Ishan’s share increases by one-third of his share, Abhishek’s share decreases by 20% and Fatima’s share decreases by Rs. 4, all of them would have equal amounts of money. What is Fatima’s original share?
Answer Choices
Correct answer marked belowA
Rs. 20.25
B
Rs. 23.50
Rs. 23.75
Correct
D
Rs. 24.25
E
Rs. 24.75
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Explanation
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Official Explanation
Official
Given: ... eq (1)
Also: ... eq (2)
From (2), we can express T, I, A in terms of F:
... eq (3)
... eq (4)…
Also: ... eq (2)
From (2), we can express T, I, A in terms of F:
... eq (3)
... eq (4)…
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What it tests
Your ability to apply GMAT math concepts to solve a multi-step problem quickly and accurately. At the 705-805 level, accuracy and speed both matter.
Common trap
Overcomplicating the setup — most GMAT problems reward a direct, organized approach over brute calculation.
Related GMAT Topic Guides
Quant
TopicGMAT Quantitative Reasoning
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Difficulty
705-805
Type
PS
Category