একটি স্কুটারের দাম ক্রমান্বয়ে 10%, 5% এবং 15% বৃদ্ধি পায়। স্কুটারের দামের মোট শতকরা বৃদ্ধি কত?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 2)
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  1. \(32 \frac{33}{40} \%\)
  2. \(34 \frac{21}{40} \%\)
  3. \(30 \frac{11}{40} \%\)
  4. \(36 \frac{31}{40} \%\)

Answer (Detailed Solution Below)

Option 1 : \(32 \frac{33}{40} \%\)
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Detailed Solution

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প্রদত্ত:

একটি স্কুটারের দাম ক্রমান্বয়ে 10%, 5% এবং 15% বৃদ্ধি পায়।

ব্যবহৃত ধারণা:

A% এবং B% এর দুটি ক্রমিক বৃদ্ধির পর চূড়ান্ত শতকরা পরিবর্তন = \((A + B + {AB \over 100})\%\)

গণনা:

ফলাফলমূলক বৃদ্ধি% = 10 + 5 + (10 × 5)/100 = 15.5%

চূড়ান্ত বৃদ্ধি% = 15.5 + 15 + (15.5 × 15)/100 = \(32 \frac{33}{40} \%\)

অতএব, স্কুটারের দামের মোট শতকরা বৃদ্ধি \(32 \frac{33}{40} \%\).

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