Question

    In the financial records of individuals A and R, the

    proportion of their salaries in the year 2022 was 5:4. Subsequently, the ratio of A's salaries in 2023 to those in 2022 is 3:5, while the ratio of R's salaries in 2023 to those in 2022 is 3:2. Given that the total of A and R's salaries in 2023 is Rs. 10,242, determine the salary of R in the year 2022.
    A Rs.4552 Correct Answer Incorrect Answer
    B Rs.4520 Correct Answer Incorrect Answer
    C Rs.2552 Correct Answer Incorrect Answer
    D Rs.4652 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

     ATQ, Let the salary of A in 2023 and 2022 be 3x and 5x respectively. Let the salary of R in 2023 and 2022 be 3y and 2y respectively Since, the ratio of their salary in the year 2022 was 5 : 4 5x : 2y = 5 : 4 2x = y The sum of their salary in 2023 is Rs. 10242 3x + 3y = 10, 242 9x = 10, 242 x = 1,138 and y = 2276 R’s salary for the year 2022 = 2y = Rs.4552

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