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Question

Rs.2430 are distributed among three persons so that their shares be diminished by Rs.5,Rs.10 and Rs.15 respectively, the remainder shall be in the ratio 3:4:5. The share of C is

A
Rs.1015
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B
Rs.605
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C
Rs.810
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D
Rs.1415
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Solution

The correct option is A Rs.1015
Let Rs.2430 be divided among three persons with their shares as x,y and z respectively so that x+y+z=2430
Given, x5:y10:z15=3:4:5
x5=3k,y10=4k and z15=5k
x=3k+5,y=4k+10 and z=5k+15
3k+5+4k+10+5k+15=2430
12k+30=243012k=2400k=200
C's share =z=5k+15=5×200+15=Rs.1015

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