SSC CGL Tier II 21 Sep 2014 Paper

Question : 95 of 100

Marks: +1, -0

If the compound interest on a sum for 2 years at

12 1/ 2

p.a is ₹ 510, the simple interest on the same sum at the same rate for the same period of time is

Solution:

(4) Principal = Rs. P (let)
∴ C.I.

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

⇒ 510= {P} [ (1+ {25}/{200} )^{2}-1 ]

⇒ 510= {P} [ (1+ {1}/{8} )^{2}-1 ]

⇒ 510= {P} [ ( {9}/{8} )^{2}-1 ]

⇒ 510= {P} ( {81}/{64}-1 )

⇒ 510= {P} ( {81-64}/{64} )

⇒ 510= {17 {P}}/{64}

⇒{P}= {510 × 64}/{17}= {Rs} .1920

∴ S.I.

={ \Principal× \Time ×\Rate }/100

= {1920 × 2× 25}/{100 × 2}=

Rs. 480

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