If $$ {3\sqrt{{1-a}\over{a}}}+9={19-3\sqrt{{a}\over{1-a}}}$$, then what is the value of a?

The value of sec⁴ A (1 – sin⁴A) – 2tan²A is: 

When an article is sold for Rs 366, there is a loss of 39%. To gain 41% it should be sold for Rs? 

A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m². 

If the average of 11, 23 and x is 40, then what is the value of x?

A, B and C enter into a partner ship with capitals in the ratio 5 : 6 :8. At the end of business term, they received the profits in the ratio 5 : 3 :12. Find the ratio of time for which they contributed their capitals?

3x² = 36 then what is the value of x?

A shopkeeper gains 20 percent by giving a discount of 10 percent of the marked price of a toy. If he had given a discount of 20 percent, then what would be his profit percentage?