SSC CGL Tier II 21 Sep 2014 Paper

Question : 67 of 100

Marks: +1, -0

Prakash lends a part of 20,000 at 8% simple interest and remaining at

4/ 3 %

simple interest. His total income after a year was ₹ 800. Find the sum lent at 8%.

Solution:

(1) Amount lent at 8% rate of interest = Rs. x
∴ Amount lent at

4/3

% rate of interest = Rs. (20,000 – x)

∴{S} . {I}= { { \Principal } × { \Rate }× { \Time }}/{100}

∴{x × 8 × 1}/{100}+ {(20,000-x) ×{4}/{3} × 1}{100}

= 800

⇒{2 x}/{25}+ {20,000-x}/{75}=800

⇒{6 x+20,000-x}/{75}=800

⇒ 5 x+20,000=75 × 800

= 60,000

⇒5 x=60,000-20,000=40,000

⇒x= {40,000}/{5}=

Rs. 8000

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