SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 49 of 100

Marks: +1, -0

A man borrowed some money and agreed to pay-off by paying Rs. 3150 at the end of the 1st year and Rs. 4410 at the end of the 2nd year. If the rate of compound interest is 5% per annum, then the sum is

Rs. 5000
Rs. 6500
Rs. 7000
Rs. 9200

Validate

Solution:

(3)

P = { x _ { 1 } }/ { 1 + { R } /{ 100 } } + { x _ { 2 } }/ { ( 1 + { R } /{ 100 } ) ^ { 2 } }

= Rs. ( { 3150 }/ { 1 + { 5 }/ { 100 } } + { 4410 }/ { ( 1 + { 5 }/ { 100 } ) ^ { 2 } } )

= Rs.( {3150 } /{ 1 + { 1 } /{ 20 } } + { 4410 }/ { ( 1 + { 1 } /{ 20 } ) ^ { 2 } } )

= Rs.( {3150 }/ { { 21 } /{ 20 } } + \ { 4410 } /{ ( { 21 } /{ 20 } ) ^ { 2 } } )

= Rs.( { 3150× 20 } /{ 21 } + { 4410× 400 }/ { 441 } )

= Rs. (3000 + 4000)
= Rs. 7000

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