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    Question

    Investment

    Amount:  Anika and Bhavya invested the same amount, Rs. (P), in two different schemes, C and D, respectively, for 2 years. Scheme C offers a 15% simple rate of interest, while Scheme D offers a 15% annual compound rate of interest. The difference between their interest amounts is Rs. 4050. Out of the total interest received by Anika, she spent (Q)% on travel, 30% on electronics, 20% on home decor, and the remaining Rs. 8000 she saved. From the total amount Anika spent on electronics, she spent Rs. (R) on a new laptop. With the remaining amount, she bought a smartphone at a 25% discount, which was marked Rs. 4000.
    A P = 100,000 Correct Answer Incorrect Answer
    B P = 150,000 Correct Answer Incorrect Answer
    C P = 200,000 Correct Answer Incorrect Answer
    D P = 180,000 Correct Answer Incorrect Answer
    E P = 130,000 Correct Answer Incorrect Answer

    Solution

    The difference between simple and compound interest after 2 years at the same rate is given by the formula: P(R/100)² = 4050, where P is the principal amount and R is the interest rate. P * (15/100)² = 4050, P = Rs. 180,000.

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