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The marked price of an article is ₹3500 and rate of GST is 12 percent. A shopkeeper allows a discount of 20 percent and still makes a profit of 10 percent. Find the original cost price of the article and the selling price including GST.

Answer Marked price = rs. 3500 GST % =12 % so, SP = 3500 + 12% of 3500 or, SP = 3500 + 0.12 ×3500 = rs. 3920 After discount the new SP   = 3920 - 20% of 3920 = 3920 - 0.20×3920 = rs. 3136 (1)                                               profit% = 10 % ; SP = rs. 3136   Let CP = X so, SP = CP + 10% of CP   or, 3136 = X + 0.10 X or, 3136 = 1.10 X or, X = 3136/1.10   original CP = 2850.909.                            { you can also  use a formula, Cp=(SP*100) / 100+profit%}

. Find area of an equilateral triangle of side 8cm.

Ans. Area of an equilateral triangle=√3/4*a^2.    =√3/4*8*8    =16√3cm^2.       (note:-^=power and*=multiple)