Question

    Kiran lent ₹4,000 to two persons such that one part of

    it at the rate of 8% per annum and the remaining part at the rate of 10% per annum. He got an annual simple interest of ₹352. Then the sum lent at 10% is: 
    A ₹1,800 Correct Answer Incorrect Answer
    B ₹2,200 Correct Answer Incorrect Answer
    C ₹2,400 Correct Answer Incorrect Answer
    D ₹1,600 Correct Answer Incorrect Answer

    Solution

    Let ₹x be the amount lent at 8%.
    Then, ₹(4000 - x) is lent at 10%.

    Simple interest for 1 year: 8x/100 + 10(4000 - x)/100 = 352

    8 x  +  40000  −  10 x  =  35200 

    ⇒  − 2 x  =  −  4800

    ⇒ x  =  2400

    Amount lent at 10% = 4000 - 2400 = ₹1600.

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