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Question

Ratio of the incomes of A, B and C last year was 3 : 4 : 5 The ratio of their individuals incomes of the last year and this year are 4 : 5, 2 : 3 and 3 : 4 respectively If the sum of their present incomes is Rs 78800 then find the present individual income of A, B and C

A
Rs 10000, Rs 40000, Rs 28800
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B
RS 18000, Rs 28800, Rs 32000
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C
Rs 45000, Rs 12800, Rs 21000
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D
RS 20000, Rs 14600, Rs 44200
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Solution

The correct option is B RS 18000, Rs 28800, Rs 32000
Let the incomes of A,B and C last year be Rs 3x, Rs 4x and Rs 5x respectively. A's income last year: this year = 4:5 A's income this year =54×Rs3x=Rs15x4 B's income this year : this year =2:3
Bs income last year : this year = 3 : 4
Cs income this year =43×Rs5x=Rs20x3 Ratio of present incomes of A,B,C
==15x×124:6x×12:20x×123=45:72:80
Given, 45x+72x+80x=78800197x=78800x=78800197=400As present income 45×400=Rs18000Bs present income =72×400=Rs28800Cs present income =80×400=Rs32000

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