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:
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ssc cgl 2023 pre
Rs.15,625
Incorrect AnswerRs.14,350
Incorrect AnswerRs.13,550
Incorrect AnswerExplanation:
- 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.
By: Parvesh Mehta ProfileResourcesReport error