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E
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:
61% (03:00) correct
39%
(03:29)
wrong
based on 191
sessions
History
Date
Time
Result
Not Attempted Yet
Divide $1200 among John, James and Mizan so that their amount after 2, 3 and 4 years respectively, may be equal. The rate of interest of John, James and Mizan is 20%, 16.66% and 25% respectively at simple interest. Mizan is given by:
A. 420
B. 500
C. 400
D. 550
E. 300
A. 420
B. 500
C. 400
D. 550
E. 300
15 Nov 2023, 14:22
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The answer is (E).
Let the shares of John, James and Mizan = x, y and z respectively
Interest for John = x * 0.2 * 2 = 0.4x --> Amount = x + 0.4x = 1.4x
Interest for James = y * 0.167 * 3 = 0.5y --> Amount = y + 0.5y = 1.5y
Interest for Mizan = z * 0.25 * 4 = z --> Amount = z + z = 2z
--> 1.4x = 1.5y = 2z ; and x + y + z = $1,200
Make the entire equation in terms of z:
x = 2z/1.4 = 10z/7 ; y = 2z/1.5 = 4z/3
--> (10z/7) + (4z/3) + z = 1200
--> (30z + 28z + 21z)/21 = 1200
--> 79z/21 = 1200
--> z = 1200 * 21/79 = approx. $300
Let the shares of John, James and Mizan = x, y and z respectively
Interest for John = x * 0.2 * 2 = 0.4x --> Amount = x + 0.4x = 1.4x
Interest for James = y * 0.167 * 3 = 0.5y --> Amount = y + 0.5y = 1.5y
Interest for Mizan = z * 0.25 * 4 = z --> Amount = z + z = 2z
--> 1.4x = 1.5y = 2z ; and x + y + z = $1,200
Make the entire equation in terms of z:
x = 2z/1.4 = 10z/7 ; y = 2z/1.5 = 4z/3
--> (10z/7) + (4z/3) + z = 1200
--> (30z + 28z + 21z)/21 = 1200
--> 79z/21 = 1200
--> z = 1200 * 21/79 = approx. $300
07 Aug 2024, 11:29
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i do not understand why it is marked 85% difficulty, since mizan benefits from the highest rate and and time he cannot have more than 1/3 of the amount so 400$> then e is the only answer left , correct me if my reasoning is wrong pls.
