SSC CGL Tier II 12 Apr 2015 Paper

Question : 95 of 100

Marks: +1, -0

On a certain principal the compound interest compounded annually for the second year at 10% per annum is ₹ 132. The principal is

Solution:

(3) Let principal be Rs. P.
Interest in 1 year

={PRT}/100

= { {P} × 10}/{100}= {\Rs} . { {P}}/{10}

According to question,

∴{P} [ (1+ { {R}}/{100} )^{2}-1 ]- { {P}}/{10}

=132

⇒{P} [\ (1+ {10}/{100} )^{2}-1 ]- {P}/{10}

=132

⇒{P} [\ ( {11}/{100} )^{2}-1 ]- {P}/{10}

=132

⇒{P} [\ {121}/{100} -1 ]- {P}/{10}

=132

⇒{21 {P}}/{100}- { {P}}/{10}=132

⇒{21 {P}-10 {P}}/{100}=132

⇒{11 {P}}/{100}=132

⇒{P}= {132 × 100}/{11}= {Rs} 1200

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