Multiple choice

If the difference between the compound and simple interest on a sum for 3 years at the rate of 10% per annum is Rs. 77.5 then find the sum invested? यदि किसी राशि पर 10% प्रति वर्ष की दर से चक्रवृद्धि और साधारण ब्याज के बीच का अंतर 3 वर्ष के लिए रु. 77.5 तो निवेश की गई राशि ज्ञात कीजिए?

  1. Rs. 3500 3500 रु .

  2. Rs. 2500 2500 रु .

  3. Rs. 4000 4000 रु .

  4. Rs. 1500 1500 रु .

  5. Rs 4200 4200 रु .
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Difference between CI and SI for 3 years = P×(R/100)²×(3 + R/100). Substituting: 77.5 = P×(10/100)²×(3 + 10/100) = P×0.01×3.1 = 0.031P. Solving: P = 77.5/0.031 = 2500. Option B is correct.

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