Multiple choice

On a sum simple interest of 2 years is Rs. 450 and compound interest for same period is Rs. 495. Find the sum. एक मूलधन पर दो वर्षों का साधारण ब्याज 450 रूपये है तथा समान समय का चक्रवृद्धि ब्याज 495 रू. है। मूलधन ज्ञात कीजिये।

  1. Rs./रू.180

  2. Rs./रू.1260

  3. Rs./रू.960

  4. Rs./रू.1125
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D Correct answer
Explanation

Let principal be P and rate be R%. Simple Interest for 2 years = P×R×2/100 = 450, so PR = 22500. Compound Interest for 2 years = P[(1+R/100)² - 1] = 495. Expanding: P[2R/100 + R²/10000] = 495. Using PR = 22500: 2×22500/100 + PR²/10000 = 495, so 450 + PR²/10000 = 495, PR²/10000 = 45. Since PR = 22500: R = 45×10000/22500 = 20%. Then P = 22500/20 = 1125.

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