কিছু এক টাকা, 50 পয়সা এবং 25 পয়সার মুদ্রা মিলে 93.75 টাকা হয় এবং তাদের সংখ্যা 3 ∶ 4 ∶ 5 অনুপাতে আছে। প্রতিটি ধরনের মুদ্রার সংখ্যা নির্ণয় করুন?

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RRB ALP CBT I 17 Aug 2018 Shift 2 Official Paper
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  1. 45, 60, 75
  2. 46, 58, 75
  3. 40, 70, 75
  4. 42, 56, 70

Answer (Detailed Solution Below)

Option 1 : 45, 60, 75
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প্রদত্ত:

কিছু এক টাকা, 50 পয়সা এবং 25 পয়সা মুদ্রা মাইল মোট  93.75 টাকা হয় এবং তাদের সংখ্যা 3 ∶ 4 ∶ 5 অনুপাতে আছে 

গণনা:

ধরি এক টাকা, 50 পয়সা এবং 25 পয়সার মুদ্রার সংখ্যা যথাক্রমে 3x, 4x এবং 5x 

প্রশ্ন অনুযায়ী,

3x × 1 + 4x × 0.50 + 5x × 0.25 = 93.75

⇒ 3x + 2x + 1.25x = 93.75

⇒ 6.25x = 93.75

⇒ x = 93.75/6.25

⇒ x = 15

অতএব, সেখানে (3 × 15) অর্থাত্ 45 এক টাকার কয়েন, (4 × 15) অর্থাত্ 60, 50 পয়সা মুদ্রা এবং (5 × 15) অর্থাৎ 75, 25 পয়সা মুদ্রা রয়েছে।

∴ এখানে যথাক্রমে এক টাকা, 50 পয়সা এবং 25 পয়সার 45, 60 এবং 75টি মুদ্রা রয়েছে।

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