A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:
An article costsβΉ1,000 for a salesman. He fixes its marked price asβΉ1,500. He sells it to a customer at a discount of 20%. He gives a further discount of 10% for each cash payment. Find the percentage of loss or gain that the salesman makes on sale.
The monthly incomes of A, B and C are in the ratio 2 : 9 : 3 and their expenses are in the ratio 3 : 9 : 5. If Aβs saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
A tank is filled in 45 minutes by two pipes, A and B. Pipe B fills the tank twice as fast as A. How much time (in minutes) will pipe A alone take to fill the tank?
In a circular race of 1600 m in length, Bhaskar and Vinay start with speeds of 27 km/h and 45 km/h starting at the same time from the same point. When will they meet for the first time on the track when running in the opposite directions and the same direction, respectively?
The table shows the expenditure of a company (in lakh rupees) per annum over the years.
The total expenditure on all these categories in 2006 is what % (rounded off to 2 places of decimal) of the total expenditure in 2009?
Year Salary Fuel & Transport Bonus Loan Interest Taxes
2005 212 78 4 24.6 88
2006 225 98 4.25 29.7 110
2007 236 105 4.75 36.8 125
2008 247 125 5.55 42.3 103
2009 295 145 6.25 49.6 118
2010 325 155 6.85 58.4 135
