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25 Nov 2025, 22:04
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:38) correct
31%
(03:08)
wrong
based on 166
sessions
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Renee invested 1/2 of her savings on 4% simple interest, 1/3rd of her savings on 6% simple interest, and the remaining part of her savings on 8% simple interest. After two years, what is the ratio of total interest earned by her and the total principal invested?
A. 8 : 75
B. 75 : 8
C. 8 : 83
D. 83 : 8
E. 4 : 75
A. 8 : 75
B. 75 : 8
C. 8 : 83
D. 83 : 8
E. 4 : 75
26 Nov 2025, 01:58
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ExpertsGlobal5
Since the investment made by Renee are in the fractional form.
Let’s consider the amount invested as the LCM of the denominator values.
1/2 of her savings on 4% simple interest, 1/3rd of her savings on 6% simple interest, and the remaining part of her savings on 8% simple interest.
Remaining = 1 - [(1/2) + (1/3) ]
= 1 - (5/6)
= (1/6)
LCM of (2,3,6) = 6
lets take the amount invested by Renee as a multiple of 6 = 6000
1/2 the amount is invested at 4% simple interest for 2 years.
= (1/2)*6000*(4%)*2
= 3000* (4 %) * 2
= 240
1/3 of the amount is invested at 6% simple interest for 2 years.
= (1/3)*6000*(6%)*2
= 2000*6%*2
= 240
1/6 of the amount is invested at 8% simple interest for 2 years.
= (1/6)*6000*8%*2
= 80*2
= 160
Total Interest Earned = 240+240+160 = 640
Total Interest Earned : Total Principal Invested
= 640 : 6000
= 64 : 600
= 8 : 75
Option A
26 Nov 2025, 08:18
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assuming savings as S,
S/2 S/3 S/6 (1-1/2-1/3)
@4% @6% @8%
total interest for 2 years => 2(4S/200 + 6S/300 + 8S/600) => 64S/600 => 8S/75
Ratio of total interest on savings/ ratio of total principal invested => S cancel's out => 8/75
S/2 S/3 S/6 (1-1/2-1/3)
@4% @6% @8%
total interest for 2 years => 2(4S/200 + 6S/300 + 8S/600) => 64S/600 => 8S/75
Ratio of total interest on savings/ ratio of total principal invested => S cancel's out => 8/75
