Q3.

A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 ∶ 4  ∶ 5. What is the sum (in Rs.) of the capitals invested by B and C?

Q4.

The volume of a solid hemisphere is 19,404 cm ³. Its total surface area (in cm ²) is:

(Take π =  \(\frac{{ {22} }}{7}\) )

Q5.

If 2x – y = 2 and xy =  \(\frac{3}{2}\) , then what is the value of x ³–  \(\frac{{{y^3}}}{8}\) ?