Directions : The pie graph indicates the break-up of the cost of construction of a house. Assuming that the total cost of construction is Rs 6,00,000, answer the following questions. 

The amount spent on timber is : 

Two friends P and Q started a business by investing in the ratio of 6 : 7. R joined them after six months by investing an amount equal to that of Q’s. At the end of the year, profit earned was Rs. 66,000. What was the share of R ?

If a + b = 1 and a³ + b³ + 3ab = k, then the value of k is

A certain number of students from school X appeared in an examination and 30% students failed. 150% more students than those from school X, appeared in the same examination from school Y. If 80% of the total number of students who appeared from X and Y passed, then what is the percentage of students who failed from Y?

Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:

A shopkeeper purchases 20000 units of a product at ₹1 each, 15000 units at ₹1.15 each and 5000 units at ₹2 each. What is the weighted average price of one unit? Correct to two decimal places)

Which of the following quadratic equations has real roots?

In a circle with centre O, BC is a chord. Points D and A are on the circle, on the opposite side of BC, such that ∠DBC = 28° and BD = DC. What is the measure of ∠BOC?