Percentage Solutions for IBPS PO and Clerk & Other Bank Exams
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“Percent” implies “for every hundred”. We can easily express any percentage figure as a decimal fraction by dividing it by 100 & on the other hand, any decimal fraction can be converted to the percentage by multiplying it by 100.
Eg: Fraction → 1/3 Percentage →1/3 × 100 = 33.33%
Percentage →20%Fraction →20/100 = 0.2
- Percentage increase = Actual Increase / Original Value × 100
- Percentage decrease = Actual Decrease / Original Value × 100
Q: 1 What percent of 50 is 200?
(a) 50% (b) 100% (c) 200% (d) 400% (e) None of these
Sol: x% of 50 is 200
x / 100 × 50 = 200
x / 2 = 200
So, x = 400%
Q: 2 Aman secured 80% of the total marks & got 640 marks. How many marks did a student who secured 90% get?
(a) 720 (b) 750 (c) 800 (d) 850 (e) None of these
(80 / 100) x = 640
(4 / 5) x = 640
→x = 800
So, 90% of x = 720
Q: 3 A military force lost 10% its men in war, 10% of the remaining due to illness and 10% of the rest were disabled. Thus, the strength was reduced to 729000 active soldiers. Find the original strength.
(a) 1000000 (b) 1250000 (c) 1400000 (d) 1700000 (e) None of these
Sol: Let initial men →100
Men lost in war = (10 / 100) × 100 = 10
Men lost in diseases = (10 / 100) × 90 = 9
Those who are disabled = (81 / 100) × 90 = 8.1
So, Remaining men = 72.9
When 72.9 remaining, total men = 100
When 729000 remaining, total men = 1000000
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Q: 4 A man sold two TV sets, one at 10% profit and loses 10% on the other. In the whole transaction, there is
(a) Neither loss nor gain
(b) Profit of 1%
(c) Loss of 1%
(d) Profit of 2%
(e) None of these
Sol: When two items are sold at the same S.P with one being sold at x% profit & the other being sold at x% loss, then there is an overall loss percentage that is given by (x2 / 100) %.
So, in this problem, overall loss = 102 / 100 i.e. 1%
Q:5 A shopkeeper sold a shirt for Rs.1,380 at a loss of 8%. At what price should it be sold to gain a profit of 8%?
(a) Rs. 1580 (b) Rs. 1620 (c) Rs. 1660 (d) Rs. 1720 (e) None of these
Sol: (92 / 100) × x = 1380
→ x = 1500
→108 % of x = (108 / 100) ×1500
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