The most remarkable indication of the state of trade in Birmingham during the past year, is to be derived from the savings of the working classes. These are shown in various ways. The accounts of the savings’-bank for the year 1851, although not yet published, are made up, and it appears that during the last twelve months, there has been an increase of 1,025 depositors, and of upwards of £20,000 in deposits. The aggregate amount of deposits, as will be shown by the report when it appears, is close upon £400,000. But this is not all. There are numerous Freehold Land and Building Societies in Birmingham, and not less than £70,000 has been paid by the artizans of Birmingham into their various treasuries. SCOTCH PRISONS.--The Twelfth Report of the Commissioners of the Prisons of Scotland, shows that the average number of persons in custody in the prisons of that kingdom, in 1850, was 2990 against 3143 in 1849. The total expenditure on prison account for the last year was $220,000. CHARITIES IN LONDON.--Taking the whole of London, and not exempting from the account such as may be correctly classed as metropolitan institutions, as Greenwich Hospital, &c., there are no less than 491 charitable institutions, exclusive of mere local endowments and trusts, parochial and local schools, &c. These charities comprise--12 general medical hospitals; 50 medical charities for special purposes; 35 general dispensaries; 12 societies and institutions for the preservation of life and public morals; 18 societies for reclaiming the fallen and staying the progress of crime; 14 societies for the relief of general destitution and distress; 12 societies for relief of specific descriptions of want; 14 societies for aiding the resources of the industrious (exclusive of loan funds and savings-banks); 11 societies for the deaf and dumb, and the blind; 103 colleges, hospitals, and institutions of almshouses for the aged; 16 charitable pension societies; 74 charitable and provident societies, chiefly for specified classes; 31 asylums for orphan and other necessitous children; 10 educational foundations; 4 charitable modern ditto; 40 school societies, religious books, church-aiding, and Christian visiting societies; 35 Bible and missionary societies; showing a total of 491 (which includes parent societies only, and is quite exclusive of the numerous “auxiliaries,” &c.). These charities annually disburse, in aid of their respective objects, the extraordinary amount of £1,764,736, of which upwards of £1,000,000 is raised annually by voluntary contributions; the remainder from funded property, sale of publications, &c.