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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.

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प्रश्न

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]

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उत्तर

A person deposit ₹ 2,000.

The employer also credited the same amount.

a = ₹ 2,000 + ₹ 2,000 = ₹ 4,000

A = `"a"/("i"/"k") [(1 + "i"/"k")^("nk") - 1]`

= `4000/((8//100)/12) [(1 + (8/100)/12)^240 - 1]`

A = `(4000 xx 12 xx 100)/8 [(1 + 0.067)^240 - 1]`

If (1.0067) = 4.966 ..............(Original value)

Then A = 600000 (4.966 – 1)

= 600000 (3.966)

= ₹ 23,79,600

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Financial Mathematics - Exercise 7.1 [पृष्ठ १६७]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 7 Financial Mathematics
Exercise 7.1 | Q 5 | पृष्ठ १६७
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