A shopkeeper earns a profit of 16% if he allows a discount of 20% on the marked price of an article. What will be the profit percent earned by the shopkeeper if he sold the article at its marked price?

U need the concept of n/d and n/d+n for this Assume cost price as 100 hence selling price becomes 120 now the discount is 1/5 from marked price that's how we got the selling price To make this selling price into marked price again increase it by 1/6 i.e multiply by 7/6 u get 135.33 hence 35.33 percent profit.hope this helps

A can do work in 12 days and B can do in 15 days the together work complete in how many days

The best way to solve time and work questions is buy considering LCM of the two numbers here u can take 60 as it is divisible by both 12 and 15 If a takes 12 days to complete 60 work it's power is 5 similarly for b 60/15 means it's power is 4 Now when they are working together their total power is 9 and the work to be down is 60 hence the time becomes 60/9

What is the remainder when 47¹⁰⁰ is divided by 100

47^2 = 2209, so 2209^50 /100 = 9^50/100, by Euler totient theorem, totient for 100 is 40 so 9^10/100 = (10-1)^10/100 = -10+1/100 = -9/100. Therefore remainder will be 91