Two equal glasses are filled with alcohol and water respectively. First glass is filled with (2/5) of alcohol and second glass is filled with (1/4) of alcohol. Then, the glasses are filled up with water and the resultant mixture is put into a big Jug. Find the ratio of alcohol and water in the jug.

In a class, 60% speak Hindi and 70% speak English. If 28% of the students can’t speak any of the two languages, then what % of the students in the class can speak both the languages?

The average monthly savings of Shifa for the first 5 months is Rs. 2120, for the next 3 months is Rs. 4260 and for the remaining months of the year is Rs. 3140. Now, the average monthly expenditure for the complete year is Rs. 11000. Find the total income of the year

A shopkeeper gives discounts of 10% on the T.V. The marked price of T.V. is Rs. 8000. After allowing discount, a shopkeeper gain 20 %. Find the cost price of a T.V.

If a 50 liters mixture of milk and water is in the ratio of 3 : 2. After removal of 10 liters mixture, 12 liters milk and 12 liters water is added into the mixture. Find the final ratio of water and milk in the mixture.

What is the total compound interest on Rs.45000 for 3 years when the sum is divided into a ratio of 4 : 5 and rate of interest on a small sum is 10% and 20% on the large sum? (Compounded annually)

The cost of printing a book increased from Rs. 96 to Rs. 120 from the year 2013 to 2018, such that the total money spent on printing books by a printing press increased in the ratio 5 ∶ 6. If the printing press printed 200 books in the year 2013, how many books did they print in the year 2018?

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 31x + 240 = 0

II. 5y²+ 60y + 135 = 0