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Question

Rs 2010 are to be divided among A, B and C in such a way that if A gets Rs 5 then B must get Rs 12 and if B gets Rs 4 then C must get Rs 5.50. The share of C will exceed that of B by

A
Rs 620
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B
Rs 430
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C
Rs 360
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D
Rs 270
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Solution

The correct option is D Rs 270
Total money : Rs.2010
If A gets Rs. 5 then B must get Rs 12A:B=5:12
If B gets Rs. 4 then C must get Rs 5.50B:C=4:5.50=8:11
A:B=5:12×2
B:C=8:11×3
A:B=10:24
B:C=24:33
A:B:C=10:24:33
Sum of ratios =10+24+33=67
B's part 2467× Rs 2010=Rs 720
C's part 3367× Rs 2010=Rs 990
Difference between C and B money =Rs990 Rs 720
=Rs270


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