A certain sum amounts to Rs. 17,200 at 12\% simple interest per annum in a period in which Rs. 22,080 amounts to Rs. 37,536 at 14\% simple interest pe - Quantitative Aptitude MCQ Competitive Exams 2026 | ExamTest.live

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A certain sum amounts to Rs. 17, 200 at 12% simple interest per annum in a period in which Rs. 22, 080 amounts to Rs. 37, 536 at 14% simple interest per annum. Find the sum.

Solution & Step-by-step Explanation

First, let us find the time period T from the second case. For the second sum: Principal (P_{2}) = Rs. 22, 080 Amount (A_{2}) = Rs. 37, 536 Simple Interest (SI_{2}) = A_{2} - P_{2} = 37, 536 - 22, 080 = Rs. 15, 456 Rate (R_{2}) = 14% p.a. Using the formula SI = \frac{P \times R \times T}{100} : 15, 456 = \frac{22 , 080 \times 14 \times T}{100} 15, 456 = 3091.2 \times T ⟹ T = \frac{15 , 456}{3091.2} = 5 years Now, for the first case, using the same time period T = 5 years : Amount (A_{1}) = Rs. 17, 200 Rate (R_{1}) = 12% p.a. Let the required principal be P_{1} . A_{1} = P_{1} + SI_{1} = P_{1} + \frac{P _{1} \times R _{1} \times T}{100} 17, 200 = P_{1} (1 + \frac{12 \times 5}{100}) 17, 200 = P_{1} (1 + \frac{60}{100}) = P_{1} \times 1.6 P_{1} = \frac{17 , 200}{1.6} = Rs. 10, 750

Try it yourself before checking the explanation above.

A certain sum amounts to Rs. 17, 200 at 12% simple interest per annum in a period in which Rs. 22, 080 amounts to Rs. 37, 536 at 14% simple interest per annum. Find the sum.

Rs. 11,250

Rs. 12,750

Rs. 12,250

Rs. 10,750

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