The bank’s lending reached £5.4bn in the second quarter after it lent just £3.7bn in the first quarter. In the first half of 2015 as a whole it lent £9.1bn.
RBS also turned its profits around despite making an overall loss of £153m in the six months to June. It lost £446m in the first quarter and it returned to profit in the second quarter by making £293m.
It attributed losses in H1 2015 to £1.5bn in restructuring costs, and £1.3bn for lawsuits and customer recompense.
Philip Hampton, chairman of RBS, said: “These conduct and litigation costs have greatly exceeded the expectations of banks and their investors.
“Judging the ultimate scale of conduct costs remains extremely challenging.”
RBS's balances now stand at £105.4bn after increasing by £3.6bn year-on-year.
Its market share reached 9.7% for new mortgages in the second quarter, up from 8.3% of its current stock share.