Given that y is directly proportional to x and y = 2 when x = 8. Find the value of x when y = 8.

The pie graph given here shows the break-up of the cost of construction of a house.

Assuming that the total cost of construction is ₹ 6,00,000, answer the questions.

Break-up of the cost of construction of a house 

The amount spent on labour exceeds the amount spent on steel by 

What will be the area of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

The average age of six members of a family is 40 years. If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest?

24% of 680 + 16 % of 525 – 22% of 450 =?

The marked price of a watch is ₹ 1000. A retailer buys it at ₹ 810 after getting two successive discounts of 10% and another rate which is illegible. What is the second discount rate? 

Find the value of sec θ − tan θ, if sec θ + tan θ = $$ \sqrt { 5} $$

A mixture of milk and water contains 75% milk. If 8 liters of the mixture is taken out and 7 liters of milk is added, the ratio of milk to water becomes 7 : 2. Find the volume of the initial mixture.