If X: Y = 4: 3 and Y: Z = 5: 3. If X+Y+Z = 1584. Find X?

A trader marked his goods at 20 % above the cost price. He sold half the stock at the marked price. one quarter at a discount of 20 % on the marked price and the rest at a discount of 40 % on the marked price. His total gain is 

Two friends Pinki and Rinki entered into a partnership by investing an amount of Rs 6000 and Rs 9000 respectively and ratio of their period of investment is 2: 3. Find the profit share of Pinki if profit share of Rinki is Rs 45,000.

The number 5769116 is divisible by which of the following numbers?

If the work done by (x-1) men in (x+1) days and the work done by (x+2) men in (x-1) days is in the ratio of 9 : 10, then x is equal to

Out of total capital required to start a business A invested 30 %, B invested $$2\over 5$$ and C invested the remaining capital. At the end of one-year sum of Rs. 4000 is earned as a profit which is 20% of the capital given by B, then find how much C invested in the business? 

The average age of a class of 40 students and a teacher reduces by 0.5 years, if we exclude the teacher. If the initial average age is 18 years, then what is the age of the teacher?