Multiple choice

The difference between the interests earned when Rs. P is invested for four years in a scheme offering 9% p.a. Simple interest and when the same sum (Rs P) is invested for two years in another scheme offering 12% p.a. Compound interest, is Rs 528. What is the value of P? जब P रु को 9% साधारण ब्याज देने वाली स्कीम में चार साल के लिए निवेश किया जाता है तथा जब 12% प्रति वर्ष चक्रवृधि ब्याज देने वाली स्कीम में उसी धनराशी (P रु) को दो साल के लिए निवेश किया जाता है तो मिलने वाले ब्याज के बीच का अंतर 528 रु होता है । P का मान क्या है?

  1. 4000

  2. 5000

  3. 4500

  4. 3500

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For simple interest: SI = P×4×9/100 = 36P/100 = 0.36P. For compound interest at 12% for 2 years: Amount = P(1 + 12/100)² = P(1.12)² = 1.2544P, so CI = 0.2544P. Difference = 0.36P - 0.2544P = 0.1056P. Given 0.1056P = 528, so P = 528/0.1056 = 5280000/1056 = 5000.

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