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Previous Year Question (PYQs)
1
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil at $10%$ p.a. at simple interest.
Sitaram earned an annual interest income of Rs. $18000$.
In what ratio did Sitaram lent the money at $6%$ p.a. and $10%$ p.a. respectively?
Solution
Let amount lent at $6%$ be $x$.
Then amount lent at $10%$
$=200000-x$
Total interest:
$0.06x+0.10(200000-x)=18000$
$0.06x+20000-0.10x=18000$
$20000-0.04x=18000$
$0.04x=2000$
$x=50000$
So,
Amount at $6%$ = $50000$
Amount at $10%$ = $150000$
Ratio:
$50000:150000$
$=1:3$
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