Advertisements
Advertisements
प्रश्न
Machine A costs ₹ 15,000 and machine B costs ₹ 20,000. The annual income from A and B are ₹ 4,000 and ₹ 7,000 respectively. Machine A has a life of 4 years and B has a life of 7 years. Find which machine may be purchased. (Assume discount rate 8% p.a) [(1.08)–4 = 0.7350, (1.08)–7 = 0.5835]
Advertisements
उत्तर
For Machine A:
Present value of outflow = ₹ 15,000
a = ₹ 4000, i = 8% = 0.08, n = 4
P = `"a"/"i" [1 - (1 + "i")^"n"]`
= `4000/0.08 [1 - (1 + 0.08)^4]`
= `4000/0.08 [1 - (1.08)^4]`
= `4000/0.08 [1 - 0.7350]`
= 50,000 (0.265)
= ₹ 13,250
For Machine B:
Present value of outflow = ₹ 20,000
a = ₹ 7000, i = 8% = 0.08, n = 7
P = `"a"/"i" [1 - (1 + "i")^"n"]`
= `7000/0.08 [1 - (1 + 0.08)^7]`
= `7000/0.08 [1 - (1.08)^7]`
= `7000/0.08 [1 - 0.5835]`
= 87,500 (0.4165)
= ₹ 36443.75
Machine B is more than Machine A, Machine B may be purchased.
APPEARS IN
संबंधित प्रश्न
Find the amount of an ordinary annuity of ₹ 3,200 per annum for 12 years at the rate of interest of 10% per year. [(1.1)12 = 3.1384]
If the payment of ₹ 2,000 is made at the end of every quarter for 10 years at the rate of 8% per year, then find the amount of annuity. [(1.02)40 = 2.2080]
A person deposits ₹ 2,000 at the end of every month from his salary towards his contributory pension scheme. The same amount is credited by his employer also. If 8% rate of compound interest is paid, then find the maturity amount at end of 20 years of service. [(1.0067)240 = 4.9661]
Find the present value of ₹ 2,000 per annum for 14 years at the rate of interest of 10% per annum. If the payments are made at the end of each payment period. [(1.1)–14 = 0.2632]
Find the present value of an annuity of ₹ 900 payable at the end of 6th month for 6 years. The money compounded at 8% per annum. [(1.04)–12 = 0.6252]
What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? What is the present value of an annuity due of ₹ 1,500 for 16 years at 8% per annum? [(1.08)16 = 3.172]
What is the amount of perpetual annuity of ₹ 50 at 5% compound interest per year?
₹ 5000 is paid as perpetual annuity every year and the rate of C.I. 10%. Then present value P of immediate annuity is __________.
Find the amount of an ordinary annuity of ₹ 500 payable at the end of each year for 7 years at 7% per year compounded annually. [(1.07)7 = 1.6058]
Find the amount of an annuity of ₹ 2000 payable at the end of every month for 5 years if money is worth 6% per annum compounded monthly. [(1.005)60 = 1.3489]
