If a, b, c are in A.P., and a, b, (c+1) are in G.P., show c=(a-b)2
The numbers x, 8, y(x not equal to y) are in G.P. and the numbers x, y, -8 are in A.P. find x and y.
The sequence a, b, c is an A.P. whose sum is 18. If a and b are each increased by 4 and c is increased by 36, the new numnbers form a G.P. Find a, b, c.
A manufacturer reckons that the value of the machine costing him $18,750 depreciates each year by 20%. Find the estimated value at the end of 5 years.
Calculate the population in 1985 if the population in 1975 is 55 crores and is growing at a compound rate of 2% annually.
Find the value of the machine after a period of 10 years if at the time of purchase it was worth $10,000. the machine is depreciated at the rate of 8% for first three years and at the rate of 10% for the rest of the period. The reducing balance method of charging depreciation was followed for the entire period.
If the population of a town increases 25 per thousand per year and the percent population is 26,24,000, what will be the population in three years time? What was it a year ago?
A person proposes to give aims to begger 1 nP. On the first day, 2nP. On the second day, 4 nP, on the third day, 8nP, on the fourth day and so on. How much does he need to pay in the month of February, 1972?
Show that a given sum of money if accumulating at 20 per cent per annum more thasn doubles in 4 years at compound interest.