For the following questions answer them individually
If $$\frac{3 \times 7 + 12}{12 \times 7 + 3 \times 4 - 2} =\frac{1}{K}$$, then what is the value of K?
A thief escapes custody at 10 a.m. He runs at a speed of 40 km/h. The policeman starts chasing the thief at 11:30 a.m., starting from the point from where the thief escaped custody. The speed of the policeman is 60 km/h. At what time will he catch the thief?
David purchased an item and marked his price up by 10%. He sold the same item by giving a discount of 5% and he made a profit ₹12.87. What is the actual cost price of the item?
Pipe A can fill an empty cistern in 6 hours and pipe B can fill the same empty cistern in 8 hours. Both the pipes are opened simultaneously but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern?
Two numbers are, respectively, 20% and 10% more than a third number. The ratio of the first number to the second number, is:
The sum of the simple interest and the compound interest on ₹5,600 at the same rate of interest per annum for two years is ₹2,061.36, when in the case of compound interest, it is compounded annually. What is the rate of interest per annum?
Anil buys a motorcycle for ₹84,000 and sells it at a loss of 12%. What is the selling price of the motorcycle?
In what ratio, should rice at ₹60 per kg be mixed with rice at ₹42 per kg such that by selling the mixture at ₹56 per kg there is a gain of 12%?
The present average age of Rachel and Ross is 34 years. Find the average age of Ross and Rachel after 6 years.