RRB RPF RPSF SI and CONS Model Papers 2 with solutions

Question : 30 of 120

Marks: +1, -0

The time in which ₹ 80,000 amounts to ₹ 92,610 at 10% p.a. at compound interest, interest being compounded semi annually is :

Solution:

(b) Time = t half year= R = 5% per half year
∴

A = P ( 1 + { R } /{ 100 } ) ^ { T }

⇒ { 92610 } /{ 80000 } = ( 1 + { 5 }/ { 100 } ) ^ { { T } }

⇒ { 9261 }/ { 8000 } = ( { 21 }/ { 20 } ) ^ { { T } }

⇒ { T } = 3

half years
⇒

( { 21 }/ { 20 } ) ^ { 3 } = ( { 21 }/ { 20 } ) ^ { { T } }

∴ { T } = 3

or 1

{ 1 }/ { 2 }

year

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