The ratio of HCF and LCM of two numbers a and b is 1:30 and the difference between the HCF and LCM is 493. Find the possible number of pairs of a and b.

Ram spends 40 % of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are ₹ 1500, then his salary per month (in ₹) is:

A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 19 days, C finishes it in 7 days. In how many days B could finish the whole work? 

Direction : What should come in place of the question (?) in the following question.

140% of 450 + 24% of 650 =?

Three positive numbers are in the ratio of 11 : 12 : 15. If the sum of the squares of those numbers is 1960, then the sum of the numbers is

If a vendor sells apples at Rs 170 per kg he suffers 15 % loss. If he sells at Rs 230 per kg, then what is his profit percentage? 

The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increments of 30% and 60% in his salary. If his saving increases by 250% of his initial saving, then the new cost of living expenditure is what percentage (rounded off to the nearest integer) of the increased salary?

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. The speed of the boat in still water is.