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Averages · Question 12 of 62

A household's electricity bills for six months are shown below.

Question 12

MediumOriginal question

A household's electricity bills for six months are shown below.

MonthBill (₹)
Jan1,240
Feb1,180
Mar1,050
Apr1,320
May1,610
Jun1,880

What must the July bill be so that the average for January to July is exactly ₹1,400?

Options for question 12

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Six-month total = 1,240+1,180+1,050+1,320+1,610+1,8801{,}240 + 1{,}180 + 1{,}050 + 1{,}320 + 1{,}610 + 1{,}880 = ₹8,280.

  2. Required seven-month total = 7×1,4007 \times 1{,}400 = ₹9,800.

  3. July bill = 9,800−8,2809{,}800 - 8{,}280 = ₹1,520.

Worth noting

The current average is ₹1,380, ₹20 short on each of six months. July must cover 1,400+6×201{,}400 + 6 \times 20 = ₹1,520, not 1,400+201{,}400 + 20.

Concept
Required next value to reach a target average
Typical time
70 s
Your time
—
The rule this testsSimple average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.