Percentage problems
- 1. The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income ?
Options- A. 11.11% decrease
- B. 21.11% increase
- C. 11.11% increase
- D. 21.11% decrease Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 11.11% decrease
Explanation:
If earlier he is getting Rs. 1 per hr and working for 1 hr, income = Rs. 1
Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs
Then income for 0.66667 hrs = Rs. 0.8889.
If payment per hr is increased by 33.33 % and working hours dereased by 33.33%, then 11.11 % decrease in income.
- 2. Population of a colony of mosquitoes is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?
Options- A. Thursday
- B. Friday
- C. Tuesday
- D. Monday Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: Thursday
Explanation:
Given monday population = 3000
Per day 20% increase in population.
Tuesday population = 3000 + 3000x20/100 = 3000 + 600 = 3600
Wednesday population =3600 + 3600x20/100 = 3600 + 720 = 4320
Thursday population = 4320 + 4320x20/100 = 4320 + 864 = 5184
So that day is Thursday.
- 3. Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ?
Options- A. 49.6%
- B. 50.4%
- C. 33.67%
- D. 66.66% Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 49.6%
Explanation:
As these three strategies P, Q and R are independent so these will cut cost one after the other.
If initial cost is Rs 100, then
20% cost is cut after initializing strategy P, then cost will remain 80% = 80
further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56
further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4
Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.
- 4. An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing ?
Options- A. Rs. 38000
- B. Rs. 47000
- C. Rs. 50000
- D. Rs. 35000 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: Rs. 50000
Explanation:
Let 'x' be the amount he had in the bank.
=> 20/100(25/100(30/100(x))) = 750
x = 750 x 8000/120 = Rs. 50000
- 5. Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?
Options- A. 76%
- B. 72%
- C. 80%
- D. 82% Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 80%
Explanation:
circumference of A =
= 8 => so r =
volume =
=
circumference of B =
= 10 => so r =
volume =
=
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.
- 6. Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ?
Options- A. Rs. 1,24,000
- B. Rs. 1,44,000
- C. Rs. 1,32,000
- D. Rs. 1,62,000 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: Rs. 1,44,000
Explanation:
Value of Maruti Van, V1 = Rs. 1,96,000
Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years
Let V2 is the value after depreciation.
V2 =
V2 = 196000(6/7)(6/7)
V2 = (196000x36)/49 = Rs. 1,44,000.
- 7. A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 66 characters. The content is again retyped on another set of sheets, these new sheets have 65 lines and each line can take 70 characters. Calculate the reduction in sheets ?
Options- A. 2 or 60%
- B. 4 or 20%
- C. 6 or 10%
- D. 8 or 5% Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: 4 or 20%
Explanation:
20 x 55 x 66 = L x 65 x 70
Here L = 72,600/4550 = 15.95 =~ 16
Reduction is 20-16 = 4
which is 20% reduction.
- 8. If L exceeds K by 30%, then K is less than L by ?
Options- A. 14 2/5 %
- B. 23 1/3 %
- C. 20 %
- D. 16 % Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 23 1/3 %
Explanation:
K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %
- 9. 12% of 70,000 is
Options- A. 8400
- B. 7200
- C. 6000
- D. 5600 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 8400
Explanation:
12% of 70,000
=> 12 x 70,000/100
=> 8400
Hence, 12% of 70,000 = 8,400
- 10. 75% of 450 + ? % of 560 = 600
Options- A. 52.385
- B. 46.875
- C. 42.155
- D. 40.555 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 46.875
Explanation:
75% of 450 + ? % of 560 = 600
Hence, in the given question ? = 46.875
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