Exams › SSC CGL (Prelims) › General
A woman invests ₹20,000. She lends one part to A for 2 years at 8% per annum simple interest and the rest to B for 2 years at 12% per annum simple interest. If the total interest from both is ₹4,160, find the amount lent to A.
- ₹ 6,000
- ₹ 8,000
- ₹ 12,000
- ₹ 14,000
Correct answer: ₹ 8,000
Solution
Let the amount lent to A be $x$. Then interest from A is $x\times 8\times 2/100=0.16x$, and from B is $(20000-x)\times 12\times 2/100=0.24(20000-x)$. Adding and equating to ₹4,160 gives $0.16x+0.24(20000-x)=4160$, which solves to $x=8000$.
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