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    • Question : Z is increased successively by $11 \frac{1}{9}$% and 10% to get R. If R = 165, then what is the value of Z?<
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    Question : Z is increased successively by $11 \frac{1}{9}$% and 10% to get R. If R = 165, then what is the value of Z?

    Option 1: 145

    Option 2: 115

    Option 3: 125

    Option 4: 135

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    Team Careers360 23rd Jan, 2024
    Answer
    Answer (1)
    Team Careers360 25th Jan, 2024

    Correct Answer: 135


    Solution : Increase = $11 \frac{1}{9}$% and 10%
    Net increase = $\frac{100}{9} + 10 + \frac{100}{9}×\frac{10}{100}$ = $\frac{200}{9}$%
    R = 165
    So, Z + $\frac{200}{9}$% of Z = 165
    ⇒ $\frac{11}{9}$ × Z = 165
    ⇒ Z = $\frac{165×9}{11}$ = 15 × 9 = 135
    Hence, the correct answer is 135.

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