SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 47 of 100

Marks: +1, -0

The sum for 2 years gives a compound interest of Rs. 3225 at the rate of 15% per annum. The sum is

Solution:

(1) C.I.

= { P } [ ( 1 + { { R } } /{ 100 } ) ^ { { T } } - 1 ]

⇒3225 = { P } [ ( 1 + { 15 } /{ 100 } ) ^ { 2 } - 1 ]

⇒ 3225 = { P} [ ( 1 + { 3 }/ { 20 } ) ^ { 2 } - 1 ]

⇒ 3225 = { P } [ ( { 23 }/ { 20 } ) ^ { 2 } - 1 ]

⇒ 3225 = { P } ( { 529 }/ { 400 } - 1 )

\⇒3225 = { P } ( { 529 - 400 } /{ 400 } )

⇒ 3225 = { P }× { 129 }/ { 400 }

⇒ { P } = { 3225 ×400 }/ { 129 }

= Rs. 10000

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