Percentage problems
- 1. A woman suffered 20% loss on first investment and made 10% profit at second investment and 12 ½% profit on the third investment. If the invested amount be in the ratio of 4 : 5 : 3, find her profit percentage?
Options- A. 0.625%
- B. 1.205%
- C. 0.987%
- D. 0% Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 0.625%
Explanation:
From the given data,
let the amounts invested be 4p, 5p and 3p
Net profit = Total profit - Total loss
= 10x5p/100 + 25x3p/200 - 20x4p/100
= 0.875p - 0.8p
= 0.075p
Therefore, profit% = (Net profit/Total investment) x 100
= 0.075 x 100/12
= 0.0625%
- 2. Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ?
Options- A. Rs.6000
- B. Rs.4500
- C. Rs.7500
- D. Rs.5000 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs.5000
Explanation:
Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then,
As we know:
Simple interest (S.I.) = PTR/100
(a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200
= 10a + 12b + 15c = 320000 .........(1)
Now, c = 240% of b = 12b/5 .........(2)
And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3)
From (1), (2) and (3), we have
16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000
? Sum invested in Scheme Y = Rs.5000.
- 3. In order to maximize his gain, a shopping mall owner decides to reduce the price of electronics goods by 20% and as a result of this, the sales of electronics increase by 40%. If, as a result of these changes, he is able to increase his weekly collection by Rs. 1,05,000, find by what value did the gross collection increase per day?
Options- A. Rs. 14400
- B. Rs. 14600
- C. Rs. 14800
- D. Rs. 15000 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
- 4. 74.99% of 1299 + 8.98% of 1899 = ?
Options- A. 1378
- B. 1301
- C. 1212
- D. 1197 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 1212
Explanation:
74.99% of 1299 + 8.98% of 1899 = ?
- 5. Arun?s weight is 140% of Akhil?s weight. Nani?s weight is 90% of Shreyon?s weight. Shreyon?s weight is twice as much as Akhil?s. What percentage of Arun?s weight is Nani?s weight?
Options- A. 76%
- B. 77%
- C. 78%
- D. 79% Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 78%
Explanation:
Let Akhil's weight = p kg
=> Shreyon's weight = 2p kg
Nani's weight = 0.9 x 2p = 1.8p kg
=> Arun's weight = 1.4p kg
Required percentage =
= 77.8%
~= 78%
- 6. What will come in place of the question mark (?) in the following question ? 52.5% of 800 + 30.5% of 2800 = ? + 87.30
Options- A. 1096.30
- B. 1226.70
- C. 1124.20
- D. 1186.70 Also asked in: CAT, GATE, Bank Clerk, Bank PO, AIEEE, Bank Exams
Correct Answer: 1186.70
Explanation:
52.5% of 800 + 30.5% of 2800 = ? + 87.30
420 + 854 - 87.30 = ?
1274 - 87.30 = ?
? = 1186.70
- 7. A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14 % on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?
Options- A. Rs.60,145.23
- B. Rs.54,285.54
- C. Rs.52,147.85
- D. Rs.50,589.47 Also asked in: CAT, Bank Clerk
Correct Answer: Rs.50,589.47
Explanation:
Let the total earnings be Rs.x
Then % of x + % of (x-12000) =2400
=> x=50,589.47
- 8. In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?
Options- A. 60
- B. 52
- C. 45
- D. 35 Also asked in: GATE, CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 35
Explanation:
Let the total applicants be 100
Then, 20% got 85 marks
i.e 20 x 85 = 1700
and 25% got 95 marks
i.e 25 x 95 = 2375
Now, the remaining applicants are 55 and let the average marks scored by them be x.
Therefore, 2375 + 1700 + 55x =
6000 - 4075 = 55x
55x=1925
x=35.
- 9. If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ?
Options- A. 75 min
- B. 82 min
- C. 90 min
- D. 101 min Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: 90 min
Explanation:
Let X = Time taken for each of Type B Problems(100 Problems)
And 2X = Time taken for each of Type A problems(50 problems)
Total time period = 3hrs = 3 x 60min = 180 minutes
100X + 50(2X) = 180
100X + 100X = 180
200X = 180 min
X = 180/200
X = 0.90 min
By convertiing into seconds,
X = 0.90 x 60 seconds
X = 54 sec
So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds
= 5400/60sec = 90 minutes.
- 10. Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ?
Options- A. 10.769 %
- B. 11.23 %
- C. 10.4 %
- D. 9.87 % Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 10.769 %
Explanation:
I II III
65 58 100
65 -------- 7
100 ------ ? => 10.769%
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