Average problems
- 1. If the total sales for a business in a certain year were ? 132000. What were the sales in june, if june sales were half the monthly average?
Options- A. ? 8400
- B. ? 7200
- C. ? 5500
- D. ? 6300 Discuss
Correct Answer: ? 5500
Explanation:
Monthly sale = yearly sale / 2
= 132000 / 2
= ? 11000
June's sale = monthly sale / 2
= 11000 / 2
= ? 1000
- 2. The average monthly income of a person in a certain family of 5 members is ? 1000. What will be monthly average income of a person in the same family, if the income of one person increased by ? 12000 per year?
Options- A. ? 1200
- B. ? 1600
- C. ? 2000
- D. ? 3400 Discuss
Correct Answer: ? 1200
Explanation:
Total Income of the family per month
= 5 x 1000
= ? 5000
Increased amount per month = 12000/12 = ? 1000
Now, total amount of family income = ? 6000 per month
So, the average income of the family per month after increase = 6000/5
= ? 1200
- 3. The average temperature of the first three days of the week is 25° C and that of the next three days is 27° C If the average ofthe whole week is 26.5° C, then the temperature of the last week of the week is
Options- A. 31.5° C
- B. 29.5° C
- C. 21° C
- D. 27.5° C Discuss
Correct Answer: 29.5° C
Explanation:
Let the temperature on the last day of the week be x° C
Average of the week = ( 3 x 25 + 3 x 27 + x ) / 7 = 26.5
? 3 x 25 + 3 x 27 + x = 7 x 26.5
? 156+ x = 185.5
? x = 29.5
So, the temprature on the last day of the week is 29.5° C
- 4. Five years ago, the average age of four men was 48 yr. Now, a new man joins and the average age increases by 2 yr. What is the age of the new man?
Options- A. 36 yr
- B. 42 yr
- C. 41 yr
- D. 38 yr Discuss
Correct Answer: 38 yr
Explanation:
Sum of the ages of 4 men five years ago
= 48 x 4
=192 yr
And sum of present ages of the four men
= 192 + 5 x 4
= 212 yr
Now ( 212 + Age of the new man ) / 5 = 50
? Age of the new man = 50 x 5 - 212
= 38 yr.
- 5. Average of a,b and c is 11, average of c,d and e is 17 average of e and f is 22 and the average of e and c is 17 . Find out the average of a, b, c, d, e and f.
Options- A. 151?3
- B. 162?3
- C. 171?2
- D. 152?3 Discuss
Correct Answer: 152?3
Explanation:
a + b + c = 11 x 3 = 33 .....(i)
c + d + e = 17 x 3 = 51 .....(ii)
e + f = 22 x 2 = 44 .....(iii)
e + c = 17 x 2 = 34 .....(iv)
From Eqs. (ii) and (iv), we get
34 + d = 51
? d = 17
Now adding Eqs. (i), (ii), (v), we get
a + b + c + d + e + f = 33 + 44 + 17 = 94
? Average of a, b, c, d, e and f = 94/6 = 152?3
- 6. Mumbai gets wheat from different regions. If it gets 1200 kg from Nasik at the rate of ? 30 per kg, 1500 kg from Ratnagiri at the rate of ? 25 per kg and 2000 kg from Kolhapur at the rate of ? 32 per kg, find the average cost of wheat procured by Mumbai.
Options- A. ? 29 per kg
- B. ? 29.25 per kg
- C. ? 29.50 per kg
- D. ? 29.75 per kg Discuss
Correct Answer: ? 29.25 per kg
Explanation:
Average cost =( w1x1 + w2x2 + w3x3 ) / (w1 +w2 +w3)
= ( 1200 x 30 +1500 x 25 + 2000 x 32) / ( 1200 + 1500 + 2000 )
= 137500 / 4700
= ? 29.25 per kg
- 7. The average age of three boys is 15 years.if their ages are in the ratio 3: 5: 7, the age of the youngest boys is?
Options- A. 3 year
- B. 15 year
- C. 18 year
- D. 21 year Discuss
Correct Answer: 3 year
Explanation:
Age of A : age of B : age of C = 3 : 5 : 7
So the average age of 3 boys (3x + 5x + 7x ) /3 = 15
?15x= 15 x 3
? x= 3
- 8. The average of odd number upto 100 is?
Options- A. 51
- B. 50
- C. 49.5
- D. 49 Discuss
Correct Answer: 50
Explanation:
sum of odd number upto 100 = 1 + 3 + 5 + 7+....+ 95 + 97 + 99
=(1+99) + (3+97) + (5+95) +.... upto 25 terms
= 100 + 100 + 100 +.... upto 25 terms
= 2500
Average = 2500 /50
= 50
- 9. On a journey across Delhi, a taxi average 30 kmph for 60% of the distance, 20 kmph for 20% of it and 10 kmph for the remainder, the average speed for the whole journey is?
Options- A. 20 km/hr
- B. 22.5 km/hr
- C. 24.625 km/hr
- D. 25km/hr Discuss
Correct Answer: 20 km/hr
Explanation:
Let total journey = y km
Total time taken = time taken during 60% of distance + time taken during 20% of distance + time taken in remaining distance
= [( 60y / 100 ) / 30] + [( 20y / 100 ) / 20] + [( 20y / 100 ) / 10]
= ( y / 50 + y / 100 + y / 50 )hrs
= y/20 hours.
Average speed = total distance traveled / total time taken.
= [y / ( y/20 )] km/hr
=20 km/hr.
- 10. With an average speed of 40km/hr. a train reached its destination in time. If it goes whith an average speed of 35km/hr, it is late by 15 minute . The total journey is?
Options- A. 30 km
- B. 40 km
- C. 70 km
- D. 80 km Discuss
Correct Answer: 70 km
Explanation:
Let total journey be y km.
From question y/35 - y/40= 15/60
? y = ( 35 x 40 )/ ( 4 x 5 ) = 70
? Total Journey = 70 km
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