At what time will the simple interest at the rate of 16 2/3% per annum be 5/6…
2021
At what time will the simple interest at the rate of 16 2/3% per annum be 5/6 of the principal?
- A.
6 year/6 वर्ष
- B.
5 year/5 वर्ष
- C.
4 year/4 वर्ष
- D.
7 year/7 वर्ष
Attempted by 11 students.
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Correct answer: B
Let the principal be P and time be T years.
Simple Interest (SI) = (P × R × T)/100
Given: R = 16 2/3% = 50/3%, SI = 5/6 P
Substitute in formula:
(P × 50/3 × T)/100 = 5/6 P
Cancel P from both sides:
(50/3 × T)/100 = 5/6
Simplify:
50T / 300 = 5/6
T / 6 = 5/6
T = 5 years
हिन्दी उत्तर:
माना मूलधन P और समय T वर्ष है।
साधारण ब्याज (SI) = (P × R × T)/100
दिया गया है: R = 16 2/3% = 50/3%, SI = 5/6 P
सूत्र में रखने पर:
(P × 50/3 × T)/100 = 5/6 P
दोनों तरफ P को काटें:
(50/3 × T)/100 = 5/6
सरल करें:
50T / 300 = 5/6
T / 6 = 5/6
T = 5 वर्ष