Rajat, Pooja and Abha participate in the election. If the total votes polled are 40,000 and 10% of votes are invalid. Rajat got 36% of valid votes and Pooja got 40% of valid votes, then find the number of votes Abha got.
A transverse common tangent is drawn to two circles of radius 8.5 cm and 5.5 cm. The centres of the two circles are 18 cm apart. What is the length (in cm) of the segment?
If ā¹2,000 is invested at a simple interest rate of 5% per annum and the interest is added to principal after 10 years, then in how many years will it amount to ā¹4,000 at the same rate of interest?
The marked price of a shirt is ā¹2,000. It is sold at a discount of 15%. The shopkeeper has allowed a further discount of 5% due to off season. Find the selling price of the shirt.
A 10-litre solution of milk and water contains 8 litres of milk. 2 litres of solution is replaced by pure milk and mixed. The process is repeated two more times. How much milk (in litres) is present in the mixture so obtained?
