Multiple choice

A sum of money was invested for T years in Scheme A offering simple interest. The amount received after 'T' years was twice the sum of money invested in the scheme A. What will be the amount received from Scheme A, when a sum of Rs.5450 is invested for '2T' years? एक राशि को स्कीम A में साधारण ब्याज पर T वर्ष के लिए निवेश किया गया । 'T' वर्षों के बाद प्राप्त धनराशि योजना A में निवेश किए गए धन की दोगुनी राशि थी। योजना A से प्राप्त राशि क्या होगी, जब '2 T' वर्षों के लिए 5450 रुपये का निवेश किया जाएगा?

  1. Rs.16290

  2. Rs.15500

  3. Rs.16350

  4. Rs.16500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Under simple interest, if amount becomes twice the principal in T years, then interest = principal, so rate r = 100/T %. For 2T years at same rate, interest = P × r × 2T/100 = P × (100/T) × 2T/100 = 2P. Amount = P + 2P = 3P. For principal Rs. 5450, amount = 3 × 5450 = Rs. 16350.

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