A and B entered a partnership investing ₹ 16000 and ₹ 12000, respectively. After 3 months A takes out ₹ 5000, while B puts in ₹ 5000 more. After 3 months more. C joins the business with a capital of ₹ 21000. After a year, they earned a profit of ₹ 13200. By what value does the share of B exceeds the share of C?

₹ 1600
₹ 1800
₹ 2100
₹ 2300

Correct Answer: ₹ 1800

Explanation:

A's share : B's share : C's share
= [16000 x 3 + (16000 - 5000) x 9] : [12000 x 3 + (12000 + 5000) x 9] : (21000 x 6)
= (16 x 3 + 11 x 9) : (12 x 3 + 17 x 9) : (21 x 6)
= 147 : 189 : 126
= 7 : 9 : 6
Hence, B's share exceeds C's share by = {13200/(7 + 9 + 6)} x (9 - 6)
= (13200 x 3)/22
= ₹ 1800

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