Question
Download Solution PDF2 సంవత్సరాలలో ₹40,000 మొత్తంపై చక్రవడ్డీ మరియు బారువడ్డీకి మధ్య వ్యత్యాసం ₹324. సంవత్సరానికి వడ్డీ రేటు:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:-
CI - SI = 324
అసలు = 40000
సమయం = 2 సంవత్సరాలు
ఉపయోగించిన సూత్రం:-
చక్రవడ్డీ = మొత్తం - అసలు
CI = P[(1 + R/100)n - 1]
బారువడ్డీ = (P × R × T)/100
గణన:-
ప్రశ్న ప్రకారం-
⇒ P[(1 + R/100)n - 1] - (P × R × T)/100 = 324
⇒ 40000 [(1 + R/100)2 - 1] - (40000 × R × 2)/100 = 324
⇒ 40000 [{(100 + R)2/1002 - 1} - {R × 2}/100 = 324
⇒ 400 [{1002 + R2 + 2 × 100 × R -1002}/100 - 2R] = 324
⇒ [{R2 + 200R}/100 - 2R] = 324/400
⇒ (R2 + 200R - 200R)/100 = 324/400
⇒ R2 = 32400/400
⇒ R2 = 81
⇒ R = 9%
∴ సంవత్సరానికి వడ్డీ రేటు 9%.
Shortcut Trick ఉపయోగించిన సూత్రం:-
CI - SI మధ్య 2 సంవత్సరాల వ్యత్యాసం,
⇒ D = P(R/100)2
ఇక్కడ,
D = వ్యత్యాసం
P = అసలు
R = వడ్డీ రేటు
గణన:-
⇒ 324 = 40000(R/100)2
⇒ R2 × 40000 = 3240000
⇒ R2 = 81
⇒ R = 9%
∴ అవసరమైన వడ్డీ రేటు 9%.
Last updated on Jun 30, 2025
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