The quota reforms will increase the voting rights of emerging economies like India in the 188-member International Monetary Fund.
India has voting rights of 2.64 per cent at the IMF. In terms of quota, India has a share of 2.76 per cent.
China's voting rights and quota are, 6.09 per cent and 6.41 per cent, respectively.
Others in the top 10 largest members of the IMF are the US, Japan, France, Germany, Italy and the UK.
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"We reaffirm our commitment to conclude the IMF's 15th General Review of Quotas, including a new quota formula, by the 2019 Spring Meetings and no later than the 2019 Annual Meetings," said the declaration.
The five leaders also said they will continue to promote the implementation of the World Bank Group Shareholding Review.
In July, the G20 nations had also emphasised the need to complete the quota reforms at the Washington-headquartered lending agency by 2019.
The block also agreed to promote the development of BRICS Local Currency Bond Markets and jointly establish a BRICS Local Currency Bond Fund, "as a means of contribution to the capital sustainability of financing in BRICS countries, boosting the development of BRICS domestic and regional bond markets".
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