The HCF and the LCM of two numbers are 5 and 120, respectively. If the sum of the two numbers is 55, then the sum of the reciprocals of these two numbers is equal to:

A smaller circle touches a bigger circle internally and also passes through the center 'O' of the bigger circle. If the area of the smaller circle is 192 $${cm^2}$$, the area of the bigger circle (in $${cm^2}$$) is:

A sum of money becomes two times of itself in 8 years at simple interest, and it becomes four times of itself in 2 years at compound interest, when interest is compounded annually. Find the ratio of the rate of simple interest to the rate of compound interest offered per year.

Kirti invested a sum of money at a certain rate of simple interest per annum for 3 years in "Bachat scheme". Had she invested the same sum in "Shiksha scheme" for 3 years which has a 2% higher simple interest rate per annum, the investment would have fetched ₹540 more. How much did Kirti invest?

A container contains a mixture of two liquids, A and B, in the proportion 7 : 5. If 9 liters of the mixture is replaced by 9 liters of liquid B, then the ratio of the two liquids becomes 7 : 9. How much of liquid A was there in the container initially?

A person spends 40% of his monthly income. The monthly income of the person is increased by 15% and his expenditure is decreased by 22%. What is the approximate percentage increase in his savings?

An article is sold at a loss of 40%. The nominal amount of loss is approximately what percentage of the selling price of the article?

S1 can do a piece of work alone in 9 days, S2 can do the same work alone in 18 days, while S3 can do it alone in 27 days. They work together and complete the work, and receive a total of ₹ 726 as payment for doing the work. What is the combined share of S2 and S3, taken together from the above amount?