Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $92 per day. What was his wage on the 8th day?
- $83
- $90
- $92
- $97
- $104
“The average wages of a worker during a fortnight comprising 15”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
Solution and Explanation:
Approach Solution 1:
Average daily wage of a worker for 15 consecutive working days = 90$
During the first 7 days , the daily average daily wage = 87$
During the last 7 days , the daily average daily wage = 92$
Wage on 8th day = 90*15 -( 87*7 + 92 *7)
= 1350 - (609 + 644)
=1350 - 1253
= 97
Correct Answer: D
Approach Solution 2:
During the first 7 days , since the daily average daily wage = 87$
Amount by which sum of first 7 days varies from average for entire 15 days = -3*7 = -21
During the last 7 days , since the daily average daily wage = 92$
Amount by which sum of last 7 days varies from average for entire 15 days = 2*7 = 14
Amount by which sums first 7 and last 7 days varies from average for entire 15 days = -21 +14 = -7
Therefore , in order to make average for entire 15 days to be 90 , the wage on 8th day needs to be = 90 + 7 = 97
Correct Answer: D
Approach Solution 3:
we are given averages for 7 days on either side..
the average of these 7+7 days can be easily found out as
92-87=5 so 5/2=2.5 from each number..
so the average is 87+2.5= 89.5 for these 14 numbers..
the 15th number increases this by 90-89.5=0.5..
so 15th number= the final average + increase required in other 14 numbers= 90+14*(90-89.5)=90+14*0.5=90+7=97
Correct Answer: D
Suggested GMAT Problem Solving Questions
- A Regular Pentagon is Inscribed in a Circle. If A and B are GMAT Problem Solving
- A Certain Culture of Bacteria Quadruples Every Hour GMAT Problem Solving
- If 2^x + 2^y = x^2 + y^2, Where x and y are Nonnegative GMAT Problem Solving
- If 3 < x < 100, for how many values of x is x/3 the square GMAT Problem Solving
- Hot Competition 3 Sep/8AM: In A Triangle ABC, Shown Above, Three Lines GMAT Problem Solving
- A Thief Steals a Car at 2.30 p.m. and Drives it at 60 km/h. The Theft GMAT Problem Solving
- If |x + 1 | > 2x - 1, Which Of The Following Represents The Correct Range GMAT Problem Solving
- Which Of The Following Is A True Statement? GMAT Problem Solving
- A machine puts c caps on bottles in m minutes. How many hours will it GMAT Problem Solving
- What is the least common multiple of 15, 18, and 24? GMAT Problem Solving
- The Price of Darjeeling Tea (in rupees per kilogram) is 100+0.10n GMAT Problem Solving
- A Circle Is Inscribed Inside Right Triangle Abc Shown Above GMAT Problem Solving
- The Temperatures In Degrees Celsius Recorded At 6 In The Morning In GMAT Problem Solving
- A Truck Travelling At 70 Kilometres Per Hour Uses 30% More Diesel To GMAT Problem Solving
- If The Area Of A Rectangle Is Equal To The Area Of A Square, Then The GMAT Problem Solving
- When a Certain Tree was First Planted, it was 4 feet Tall and the Height GMAT Problem Solving
- A School has Set Different Minimum Qualifying Marks in an Exam GMAT Problem Solving
- The Temperature of Delhi and Lucknow were in the Ratio 3:5 in July GMAT Problem Solving
- When a Number A is Divided by 6, the Remainder is 3 and When Another GMAT Problem Solving
- Which of the Following is the Correct Ordering of 2√13, 4√3, 5√2 and 3√6 ? GMAT Problem Solving
Comments