A manufacturing company sells a machine to a trader A for $$200,000.$ Trader A sells it to a trader B at a point of $$20,000$ and trader B sells it to a consumer at a profit of $$40,000.$ If the rate of sales tax $($under VAT$)$ is $15\%,$Find:$(1)$ the amount of tax received by the Government.$(2)$ the amount paid by the consumer for the T$.$V$.$