For the following questions answer them individually
A dealer buys an old car listed at ₹85,000 and gets successive discounts of 20% and 10%. He spends ₹3,800 on its repairs and sells it at a profit of 20%. Find the selling price of the car.
Compound interest is charged on a certain sum for 2 years at 10% rate per annum, compounding annually. If the amount becomes ₹605, then the principal (in ₹) is:
In a city, there are 12000 voters. Out of them, 30% voted for A, 25% voted for B and 40% voted for C. Determine the number of voters that did not vote for any of these three participants.
After allowing a discount of 10% on its marked price, the value of a washing machine is Rs.28,800. If no discount is allowed, then the shopkeeper gains 25%. The cost price of the washing machine is:
An equilateral triangle with side a units is cut on the vertices to make it a regular hexagon. What is the area of the hexagon?
Two trains start at the same time from two stations and proceed toward each other at the speed of 40 km/h and 45 km/h, respectively. When they meet, it is found that one train has travelled 20 km more than the other. Find the distance between the two stations.
A, B and C invested ₹10,000, ₹15,000 and ₹20,000 respectively. After one year each of A and B invested ₹5,000 more, while C withdrew ₹10,000. What will be the ratio of profit of A, B and C after three years from starting?
A train starts from station P, runs through stations Q, R, S, T and reaches station U. It stops at stations Q, R, S and T for 2 minutes, 4 minutes, 6 minutes, and 8 minutes, respectively. The distance between P and U is 50 km. What is the average speed of the train between stations P and U (in km/h), if it runs for 70 minutes between the stations, with uniform speed?
The compound interest on ₹10,00,000 at 3% per annum, compounding annually is ₹92,727. The number of years required for this is: