For the following questions answer them individually
Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes. Working together, how many pages can they type in 32 minutes?
R lends some money to S on which S pays ₹17,000 more to R. S lends the same money to T, on which T pays 8.5% more to S. What should be the minimum amount (in ₹) that S must borrow so that he does not incur any loss in the process?
Work done by 8 men is completed in 10 days. The same work can be completed in 12 days when done by 10 women. How many days will it take to complete when 4 men and 4 women are employed to perform the same job?
If $$x^{2} - 7x + 1 = 0$$, and $$0 < x < 1$$, what is the value of $$x^{2} - \frac{1}{x^{2}}$$?
The marked price of a geyser is ₹9,400 and the shopkeeper allows a discount 4% on it. Find the selling price of the geyser.
In ₹150, B buys 10 pens for ₹8 each, 10 erasers for ₹5 each and some sharpeners for ₹4 each. What is the average price per item in ₹?
10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
If $$\triangle ABC \sim \triangle PQR$$, AB = 4 cm, PQ = 6 cm, QR= 9 cm and RP = 12 cm, then find the perimeter of $$\triangle ABC$$.
The salaries of a father, mother and daughter are in the ratio 2 : 3 : 5. What will be the ratio of their salaries if there was an increase of 15%, 10% and 20%, respectively?