Subject
Bank Exam
Topic
সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান (অফিসার - সাধারণ) - ০৮.০৩.২০২৪
Average of ten positive numbers is x. If each number increases by 10%, then x-
Average of ten positive numbers is x. If each number increases by 10%, then x-
ক)
remains unchangedখ)
may increase or decreaseগ)
will increaseঘ)
is increased by 10%Explanation
Let, the ten positive numbers are n 1 + n 2 + n 3 + ........... + n 10 Then, n 1 + n 2 + n 3 + ........... + n 10 = X ............(1) According to the question, each number is increased by 10% 10% = 10/100 = 0.1 Suppose, the average of the ten numbers = X 1 Therefore, X 1 =( 1.1n 1 + 1.1n 2 + 1.1n 3 + ........... + 1.1n 10 )/10 ⇒ X 1 = 1.1(n 1 + n 2 + n 3 + ........... + n 10 )/10 ⇒ X 1 = 1.1X [We get from equation (1)] ⇒ X 1 / X = 1.1 ⇒ X 1 /X = (1.1 x 100)% ⇒ X 1 /X = 110% Total percentage gains = (110 - 100)% = 10% ∴ The new average increases by 10%Related questions
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