SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 50 of 100

Marks: +1, -0

Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 4 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram’s share is

Rs. 125000
Rs. 135200
Rs. 152000
Rs. 108200

Validate

Solution:

(2) Let Ram’s share be Rs. x.
∴ Shyam’s share = Rs. (260200 – x)

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

⇒x ( 1 + \ { R }/ { 100 } ) ^ { 4 }

= ( 260200 - x ) ( 1 + { { R } } /{ 100 } ) ^ { 6 }

⇒ x = ( 260200 - x ) ( 1 + { 4 } /{ 100 } ) ^ { 2 }

⇒ x = ( 260200 - x ) ( 1 + { 1 }/ { 25 } ) ^ { 2 }

⇒ x = ( 260200 - x ) ( { 26 }/ { 25 } ) ^ { 2 }

⇒x = ( 260200 - x ) \ { 676 }/ { 625 }

⇒ { 625 x }/ { 676 } + x = 260200

⇒ { 625 x + 676 x } /{ 676 } = 260200

⇒ { 1301 x }/ { 676 } = 260200

⇒ x = { 260200 × 676 }/ { 1301 }

=

Rs. 135200

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