Multiple choice

Rs 260200 is divided between Ram and Shyam so that the amount that Ram receives in 3 years is the same as that Shyam receives in 5 years. If the interest is compounded annually at the rate of 4% per annum then Ram's share is- 260200 रूपये को राम और श्याम के बीच विभाजित किया जाता है कि राम 3 वर्षों बाद प्राप्त होने वाली राशि सामान हो जो श्याम 5 वर्षों में प्राप्त करता है। यदि ब्याज 4% वार्षिक चक्रवृद्धि की दर से बढ़ता है तो राम का हिस्सा होता है।

  1. 125000

  2. 135200

  3. 152000

  4. 108200

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Ram's share = R, Shyam's share = S. After compound growth: R × (1.04)³ = S × (1.04)⁵. This simplifies to R = S × (1.04)² = S × 1.0816. Also R + S = 260200. Substituting: S × 1.0816 + S = 260200, so S × 2.0816 = 260200, giving S = 125000 (approximately). Thus R = 260200 - 125000 = 135200. The key is equating future values and solving the system.