The price of a table which is sold for Rs. 4000 is made up as follows: cost of material, 30%; cost of manufacture, 50%, profit, 20%. If the cost of material falls $\frac{}{}$ $\frac{25}{6}\mathrm{\%}$ and the cost of manufacture rises 20%. Find the new profit if the table is still sold for Rs. 4000?

<p> (a):Cost of material = 30% of 4000 = 1200</p><p>New cost of material =&nbsp;<math><mrow><mrow><mrow><mfrac><mrow><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow><mrow></mrow></mfrac></mrow></mrow></mrow></math> <span class="mathml" contenteditable="false"> <math> <mrow> <mn>1</mn> <mn>2</mn> <mn>0</mn> <mn>0</mn> <mrow> <mo> (</mo> <mrow> <mn>1</mn> <mo>? </mo> <mfrac> <mrow> <mfrac> <mrow> <mn>2</mn> <mn>6</mn> </mrow> <mrow> <mn>6</mn> </mrow> </mfrac> </mrow> <mrow> <mn>1</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span>= 1150</p><p>Cost of manufacturing = <span class="mathml" contenteditable="false"> <math> <mrow> <mn>2</mn> <mn>0</mn> <mn>0</mn> <mn>0</mn> <mrow> <mo> (</mo> <mrow> <mn>1</mn> <mo>+</mo> <mfrac> <mrow> <mn>2</mn> <mn>0</mn> </mrow> <mrow> <mn>1</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span><math><mrow><mrow><mrow><mfrac><mrow></mrow><mrow></mrow></mfrac></mrow></mrow></mrow></math>&nbsp;= 2400</p><p>So, new profit = 4000 – (2400 + 1150) = 450</p>

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