SSC CGL 23 Aug 2021 Shift 1 Paper

Question : 68 of 100

Marks: +1, -0

A sum of ₹ 25600 is invested on simple interest partly at

7 \%

per annum and the remaining at

9 \%

per annum. The total interest at the end of

3 {yr}

₹ 5832

. How much money (in ₹) was invested at

9 \%

per annum?

Solution:

Let Money invested at

7 \%=x

Money invested at

9 \%=(25600-x)

We know,

{SI}=\;{P × R × T}/{100}

5832=\;{x × 7 × 3}/{100}+\;{(25600-x) × 9 × 3}/{100}

⇒ \;\; 5832=\;{21 x}/{100}+256 × 27-\;{27 x}/{100}

⇒ \;\; \;{6 x}/{100}=6912-5832=1080

⇒ \;\; 6 x=1080 × 100=108000

⇒ \;\; x=\;{108000}/{6}=18000

Money invested at

9 \%

=(25600-18000)=₹ 7600

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