Quantitative Aptitude - Arithmetic Ability Questions

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

A trader buys 800 kgs of tomatoes for Rs 7200. 10% tomatoes are damaged in transportaion. At what rate (Rs/Kg) should he sell the rest to earn 30% profit?

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 429, then what is the difference between the first and the third number?

25% discount is offered on an item. By applying a promo code the customer wins 22% cash back. What is the effective discount?

If Sec θ = 5/3, then what is the value of Cosec θ?

On decreasing the price of a fan by 40%, its sales increases by 50%. What will be the percentage increase or decrease in its revenue?

If tan A = 1/2 and tan B = 1/3, then what is the value of tan (2A + B)?

If (x+1/x) = 5, then the value of 5xx2+5x+1?