A, B and C started a business with investments Rs.2500, Rs. 1800 and Rs.2000
respectively. After 4 months A withdraw an amount of Rs.700 from his investment
B and C added Rs.400 and Rs. 300 to their investments. The profit at the end of the
year is Rs.945. Find the share of each.
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Description for Correct answer:
Ratio of the equivalent capitals of A, B and C for 1 month
= (1600 x 6 + 1800 x 6) : (C2000 x 8) + (2000 + 4x)4) : (1800 x 8 + (1800 + x) x 4)
= (9600 + 10800) : (16000 + 8000 + 16x) : (14400 + 7200 + 4x)
= 20400 : 24000 + 16x : 21600 + 4x = 5100 : 6000 + 4x : 5400 + x
= 5100 + 6000 + 4x + 5400 + x
= 16500 + 5x
5100/16500 + 5x x 3780 = 1080
=> 1700 x 378/16500 + 5x = 36
=> 340 x 378/3300 + x = 36
=> 3300 + x = 3570
=> x = 3570 - 3300 = Rs.270
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