If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

Some men can do a piece of work in 60 days. If there are 8 more men, the work can be completed in 10 days less. What was the number of men in the beginning?

A man gets a discount of 30% and then 20% on his food bill of Rs.1500. What is the total discount he got in rupees?

An article seller allows a discount of 10% on the marked price. He gets 30% commission from the publisher. What will be his profit percentage?

State Electricity Board gives a discount of 15% if the electricity bill is paid before the due date. If a person gets a discount of Rs 54, then what was the original bill amount?

The total of the ages of Kiran, Shantanu and Saransh is 93 years. Ten years ago, the respective ratio of their ages was 2 : 3 : 4 . What is the present age of Saransh?

The average weight of 5 men is increased by 4 kg. If one of them who weigh 121 kg is replaced by another man, then what is the weight of the new man? 

The average age of 32 boys of a class is equal to 15 years. When the age of the class teacher is included the average becomes 16 years. Find the age of the class teacher.