“A trader invests ₹50,000 at an annual compound int... - Simple and Compound Interest MCQ Solution

“A trader invests ₹50,000 at an annual compound interest rate of 6%. Find half of the compound interest he will receive after 3 years.”

“A trader invests ₹50,000 at an annual compound interest rate of 6%. Find half of the compound interest he will receive after 3 years.”
एक व्यापारी ₹ 50,000 की धनराशि 6% की वार्षिक चक्रवृद्धि ब्याज दर पर निवेश करता हैं उसे 3 वर्ष बाद प्राप्त होने वाले चक्रवृद्धि ब्याज का आधा भाग ज्ञात कीजिए।

₹4,575.4 ₹4,675.4 ₹4,775.4 ₹4,745.4

Detailed Solution & Logic

Correct Answer:

₹4,775.4

Given: P = ₹50,000, ; R = 6%, ; T = 3 years
Compound Interest formula: A = P 1 +$ \frac{R}{100})^T$ CI = A - P
A = 50000 (1 + \frac{6}{100})^3 = 50000 (1.06)^3 $
$ (1.06)^3 = 1.06 \times 1.06 \times 1.06 = 1.191016 $
A $50000 \times 1.191016 = 59550.8 $
CI = A - P = 59550.8 - 50000 = 9550.8 $
Half of CI = $ \frac{9550.8}{2} $= 4775.4
Answer = ₹4,775.4

“A trader invests ₹50,000 at an annual compound interest rate of 6%. Find half of the compound interest he will receive after 3 years.”

Detailed Solution & Logic

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