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17 Jun 2021, 04:00
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
63% (03:17) correct
37%
(03:03)
wrong
based on 219
sessions
History
Date
Time
Result
Not Attempted Yet
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?
(A) Rs. 20.25
(B) Rs. 23.50
(C) Rs. 23.75
(D) Rs. 24.25
(E) Rs. 24.75
(A) Rs. 20.25
(B) Rs. 23.50
(C) Rs. 23.75
(D) Rs. 24.25
(E) Rs. 24.75
29 Jun 2021, 09:54
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Bunuel
Given,
T+I+A+F=80.. eq 1
Also
T+3=(I+1/3I)=(80/100)A=F-4... eq 2
From 2, We can get T, I, A in terms of F, which is
T=F-7... eq 3
I=(3/4)F-3 ... eq 4
A=(5/4)F-5... eq 5
Substitute Eq 3,4,5 in eq 1, we get
F-7+(3/4)F-4+(5/4)F-5+F=80
4F=95
F=23.75
Hence Answer is C.
General Discussion
18 Nov 2025, 13:41
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Is there a shorter way for doing this question? I wasted so much time in solving the last equation which gets us the value of F.
Amit0701
