Multiple Choice Questions on Rs 8 500 becomes Rs 11 050 in 6 years at a certain rate of simple interest If the rate becomes 1 8 t........... for SSC CGL Exam Preparation

Simple Interest

Quantitative Aptitude (CGL)

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    Rs.8,500 becomes Rs.11,050 in 6 years at a certain rate of simple interest. If the rate becomes 1.8 times of itself, the amount of the same principal in 5 years will be:

    This questions was previously asked in
    ssc cgl 2023 pre

    Rs.15,625 

    Incorrect Answer

    Rs.14,350 

    Incorrect Answer

    Rs.13,550 

    Incorrect Answer

    Rs.12,325

    Correct Answer
    Explanation:

    - We start with an initial principal of Rs.8,500.

    - In 6 years, it grows to Rs.11,050 using simple interest.

    - To find the rate of interest, use the formula:

    \[ \text{Simple Interest (SI)} = \text{Final Amount} - \text{Principal} = Rs.11,050 - Rs.8,500 = Rs.2,550 \]

    - Calculate the rate:

    \[ \text{SI} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100} \]

    \[ \frac{8,500 \times \text{Rate} \times 6}{100} = 2,550 \]

    \[ \text{Rate} = \frac{2,550 \times 100}{8,500 \times 6} = 5\% \]

    - New rate if increased by 1.8 times:

    \[ \text{New Rate} = 5\% \times 1.8 = 9\% \]

    - Calculate final amount for the same principal in 5 years at the new rate:

    \[ \text{SI} = \frac{8,500 \times 9 \times 5}{100} = Rs.3,825 \]

    \[ \text{Final Amount} = Rs.8,500 + Rs.3,825 = Rs.12,325 \]

    - Option 4: Rs.12,325 is the correct answer.


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