Arithmetic Questions

A can finish one-third of a work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

Anju sold an article to her friend Rakesh at 14% loss. If Rakesh sold it for ₹2,537 and made a profit of 18%, then the original cost price (in ₹) of the article for Anju was:

A bought an item for ₹1,100 and sold it to B at a loss of 5%. B sold the item to C at a profit of k% for ₹1,254. Find the value of k.

A certain sum amounts to ₹12,456 in 3
2
1
​
years at 8.5% p.a. simple interest. What will be the simple interest on the same sum in 6
4
1
​
years at the same rate of interest?

The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?