If 4 is added with one-fifth of a number, 10 is deducted from one-fourth of that number. What is the number?

A 250

B 270

C 280

D 200

Solution

Correct Answer: Option C

ধরি, সংখ্যাটি হল x।

এক-পঞ্চমাংশের সাথে 4 যোগ করলে = 4 + x/5

এক-চতুর্থাংশ থেকে 10 বিয়োগ করলে = x/4 - 10

প্রশ্ন অনুযায়ী, 
4 + x/5 = x/4 - 10
⇒ 4 + x/5 = x/4 - 10
⇒ 4 + 10 = x/4 - x/5
⇒ 14 = x/4 - x/5
⇒ 14 = (5x - 4x)/20
⇒ 14 = x/20
⇒ 14 × 20 = x
⇒ 280 = x

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