सरळ व्याजाने 9 वर्षांत रक्कम तिप्पट होते. वार्षिक व्याज दर शोधा.

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SSC CGL (2022) Tier-II Official Paper (Held On : 7 March 2023)
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  1. \(38\frac{2}{9}\%\)
  2. \(33\frac{1}{3}\%\)
  3. \(27\frac{1}{9}\%\)
  4. \(22\frac{2}{9}\%\)

Answer (Detailed Solution Below)

Option 4 : \(22\frac{2}{9}\%\)
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वापरलेले सूत्र:
या समस्येचे निराकरण करण्यासाठी, आपण सरळ व्याजासाठी सूत्र वापरू.

सूत्र खालीलप्रमाणे आहे.

सरळ व्याज (SI) = (मुद्दल (P) × दर (R) × वेळ (T)) / 100

गणना:

SI = 2 × P

आपणास 9 वर्षे वेळ (T) दिला आहे.

आपणास दरवर्षी दर (R) शोधण्याची गरज आहे.

⇒ 2 × P = (P × R × 9) / 100

आता, आपणास R सोडविण्याची आवश्यकता आहे:

⇒ 2 × P = (9 × P × R) / 100

दोन्ही बाजूंना P ने विभाजित करा:

⇒ 2 = (9 × R) / 100

आता, दोन्ही बाजूंना 100 ने गुणाकार करा:

⇒ 200 = 9 × R

शेवटी, दोन्ही बाजूंना 9 ने विभाजित करा:

⇒ R = 200 / 9
⇒ R = \(22\frac{2}{9}\%\)

म्हणून, वार्षिक व्याज दर अंदाजे \(22\frac{2}{9}\%\) आहे.

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