A sum of ₹10000 is lent out in two parts, one at 7% simple Interest and the other at 12% simple interest. If the annual interest is ₹900, the sum lent at 12% is:
A sum of ₹10000 is lent out in two parts, one at 7% simple Interest and the other at 12% simple interest. If the annual interest is ₹900, the sum lent at 12% is:
₹10000 की राशि दो भागों मेंं उधार दी जाती है, एक 7% साधारण ब्याज पर और दूसरा 12% साधारण ब्याज पर। यदि वार्षिक ब्याज ₹900 है, तो 12% पर उधार दी गई राशि हैं:
Detailed Solution & Logic
₹4000
Solution
Let the sum lent at 12% be x.
Then the sum lent at 7% is $(10000-x)$.
Annual interest:
$0.12x+0.07(10000-x)=900$
$0.12x+700-0.07x=900$
$0.05x=200$
$x=\dfrac{200}{0.05}=4000$
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