# A, B and C started a business in which A contributed Rs 30,000. Out of the total profit of Rs 7200, A got Rs 1920 and C got Rs 2880, find the capital invested by B?

$capital\;invested\;by\;A=30000\\*Total\;profit=7200\\* profit\;of\;A=1920\\*profit\;of\;C=2880\\*so,\;profit\;of\;B=7200-1920-2880=2400\\*\%shares\;of\;A=\frac{1920}{7200}\times 100=26.67\%\\* Now,\;the\;amount\;invested \;by\;A=26.67\% of\;the\;total\;amount\;invested\;by\;all\;three\\* Let\;total\;amount\;be\;x\\* 30000=\frac{26.67\times x}{100}\Rightarrow x=112485.94\\* \% \; shares \;of\;B=\frac{2400}{7200}\times 100=33.33\%\\* amount\;invested \;by\;B=33.33\% \;of\;112485.94\\* amount\;invested \;by\;B=\frac{33.33}{100}\times 112485.94\\* amount\;invested \;by\;B=37491.56$

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