A sum becomes ₹47,600 at compound interest. If the rates of interest for the three years are 11.11%, 16.66% and 12.5% respectively, find the compound interest.
एक राशि चक्रवृद्धि ब्याज (Compound interest) पर ₹47,600 हो जाती है। यदि तीन वर्षों में ब्याज दर (Rate of interest) क्रमशः 11.11%, 16.66% और 12.5% है, तो चक्रवृद्धि ब्याज ज्ञात कीजिए।
Answer और ExplanationAnswer and explanation
Answer: (C) ₹14,960
दरों को भिन्न (Fraction) में लिखें: 11.11% = 19, 16.66% ≈ 16, 12.5% = 18।
मिश्रधन (Amount) = P × 109 × 76 × 98 = P × 3524
P × 3524 = 47600 ⇒ P = 47600 × 2435 = 32640
CI = 47600 − 32640 = 14960
✓
चक्रवृद्धि ब्याज (Compound ब्याज (Interest)) ₹14,960 है।
Write the rates as fractions: 11.11% = 19, 16.66% ≈ 16, 12.5% = 18.
Amount = P × 109 × 76 × 98 = P × 3524
P × 3524 = 47600 ⇒ P = 47600 × 2435 = 32640
CI = 47600 − 32640 = 14960
✓
The compound interest is ₹14,960.
SMART APPROACH
P : A = 24 : 35, तो CI, 35 में से 11 भाग है। 47600 ÷ 35 = 1360, और 11 × 1360 = ₹14,960।
P : A = 24 : 35, so CI = 11 parts out of 35. 47600 ÷ 35 = 1360, and 11 × 1360 = ₹14,960.
Source: Selection Post Phase XIV (12th) · 26 Sep 2026 · Shift 1। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 26 Sep 2026 · Shift 1. Solution by Prashant Sir, from Vijayastra.