Quantitative Aptitude - Arithmetic Ability Questions

A fraction is greater than twice its reciprocal by 7/15. What is the fraction?

A trader sells wire and gains 60% on the cost price. What will be the profit % on selling price?

Ravi is 12 years younger than Surya. Ravi's age is 40% of the sum of his and Surya's age. What will be Surya's age 9 years hence?

A sum of money was invested at the rate of 7.5% S.I. per annum for 4 years. If the investment was for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?

A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?

If a number is decreased by 10%, it becomes 54. To make it 72, it should be increased by

If Sin θ = 20/29, then what is the value of Cos θ?

If 27x + 27[x–(1/3)] = 972, then what is the value of x?