Question
Download Solution PDFIn measuring the sides of a rectangle, one side is taken 10% in excess, and the other 8% in deficit. The error percent in the area calculated from these measurements is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 8% in deficit.
Formula used:
Error Percent in Area = (Percentage Error in Length + Percentage Error in Width + Percentage Error in Length × Percentage Error in Width)
Calculation:
Let the original length be L and the original width be W.
Measured Length = L + 0.10L = 1.10L
Measured Width = W - 0.08W = 0.92W
Error in Length = 10%
Error in Width = -8%
Percentage Error in Area = 10% + (-8%) + (10% × -8% / 100)
⇒ Percentage Error in Area = 10 - 8 + (10 × -8 / 100)
⇒ Percentage Error in Area = 2 - 0.8
⇒ Percentage Error in Area = 1.2%
∴ The correct answer is option (3).
Last updated on Jul 1, 2025
-> As per the notice released on 30th June 2025, the Staff Selection Commission has announced an extension for the application form correction window. Candidates can now make the required changes in their applications until 1st July 2025.
-> The Staff Selection Commission has officially released the SSC Selection Post Phase 13 Notification 2025 on its official website at ssc.gov.in.
-> A total number of 2423 Vacancies have been announced for various selection posts under Government of India.
-> The Computer Based Exam is scheduled from 24th July to 4th August, 2025. Candidates will be able to apply online from 2nd June 2025 to 23rd June 2025.
-> The SSC Selection Post Phase 13 exam is conducted for recruitment to posts of Matriculation, Higher Secondary, and Graduate Levels.
-> The selection process includes a CBT and Document Verification.
-> Some of the posts offered through this exam include Laboratory Assistant, Deputy Ranger, Upper Division Clerk (UDC), and more.
-> Enhance your exam preparation with the SSC Selection Post Previous Year Papers & SSC Selection Post Mock Tests for practice & revision.