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22 Feb 2022, 09:03
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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:
65%
(hard)
Question Stats:
65% (03:00) correct
35%
(03:03)
wrong
based on 198
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A person buys some apples and mangoes from the market at a rate such that a mango is twice as costly as an apple and he sells them such that a mango is thrice the price of an apple. By selling an apple at twice of its cost price, he makes 150% profit on the whole. What is the ratio of mangoes to apples ?
A. 1:2
B. 3:5
C. 3:4
D. 4:5
E. 5:6
A. 1:2
B. 3:5
C. 3:4
D. 4:5
E. 5:6
02 Mar 2022, 23:33
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Bunuel
Let the C.P. of apple be \(x\) also let there be \(a\) no. of apples hence Total C.P. of apples \(ax\)
Let the C.P. of mango be \(2x\) also let there be \(m\) no. of mangoes hence Total C.P. of mangoes \(m(2x)\)
S.P of apple \(a(2x)\) and S.P. of mangoes \(m(6x)\)
Total C.P. \(= ax + m(2x)\)
Total S.P. \(= a(2x) + m(6x)\)
Profit = Total S.P. - Total C.P.
Hence profit \(= a(2x) + m(6x) - ax - m(2x) = ax + 4mx\)
Given \(= \frac{ax + 4mx }{ax + m(2x) } = 1.5\)
\(ax + 4mx = 1.5 ax + 3mx\)
\( mx= .5ax \)
\(\frac{m}{a} = \frac{.5}{1} = \frac{5}{10} =\frac{1}{2}\)
Ans A
Hope the post helped !
General Discussion
27 May 2024, 05:36
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Apple Mango
No of units a m
Cost/unit ($) 1 2
Selling Pr/unit 2 6
Profit% (2-1)/1*100 (6-2)/2*100
=100% =200% Total Profit =150% Since profit is a function of Profit percent
150% cost and number of units, use alligation concept
50% 50% => Mango/apple=No of units*cost/unit of Mango/No of units*cost/unit of apple
1 : 1 = 1/1 => 2*m/1*a=1/1=> m/a =1/2 m:a=1:2 Ans A
No of units a m
Cost/unit ($) 1 2
Selling Pr/unit 2 6
Profit% (2-1)/1*100 (6-2)/2*100
=100% =200% Total Profit =150% Since profit is a function of Profit percent
150% cost and number of units, use alligation concept
50% 50% => Mango/apple=No of units*cost/unit of Mango/No of units*cost/unit of apple
1 : 1 = 1/1 => 2*m/1*a=1/1=> m/a =1/2 m:a=1:2 Ans A
