DP HCM09 Jan 2026Shift 3Compound Interest

Find the compound interest on a principal of ₹85,000 for a term of 1.5 years at a nominal annual rate of 24%, compounded on a half-yearly basis.

₹85,000 के मूलधन (Principal) पर 1.5 वर्ष की अवधि के लिए 24% की नाममात्र वार्षिक दर से अर्धवार्षिक आधार पर संयोजित चक्रवृद्धि ब्याज (Compound interest) ज्ञात कीजिए।

Answer और ExplanationAnswer and explanation

Answer: (C) ₹34418.88

एक छमाही की दर = 12%, 1.5 साल में छमाहियाँ = 3
CI = 85000 × [(1.12)3 − 1] = 85000 × 0.404928 = 34418.88
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चक्रवृद्धि ब्याज (CI) ₹34,418.88 है।
Rate per half-year = 12%, half-years in 1.5 years = 3
CI = 85000 × [(1.12)3 − 1] = 85000 × 0.404928 = 34418.88
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The CI is ₹34,418.88.
SMART APPROACH

12% की 3 अवधियाँ = 40.4928%। 85,000 का 40% = 34,000 और 0.4928% ≈ 418.88 ⇒ 34,418.88।

12% for 3 periods = 40.4928%. 40% of 85,000 = 34,000 and 0.4928% ≈ 418.88 ⇒ 34,418.88.

Source: DP HCM · 09 Jan 2026 · Shift 3। Solution: Prashant Sir, Vijayastra।Source: DP HCM · 09 Jan 2026 · Shift 3. Solution by Prashant Sir, from Vijayastra.