# Quant Practice Problems: Percentage

## Percentage Practice Sets for IBPS PO & Clerk

Q1. A number exceeds 30% of itself be 49. The number is
(a). 50
(b). 60
(c). 70
(d).28
(e). 72

Q2. M has twice as much money as that of N and N has 50% more money than that of O. If the average money of all of them is Rs.110, then the money, which m has is
(a). Rs.90.
(b). Rs.60.
(c). Rs.180
(d).Rs.55
(e). Rs. 225.

Q3. The price of an article was decreased by 20% and again reduced by 10%. By what per cent should the price have been reduced once, in order to produce the same effect as these two successive reductions?
(a). 32
(b). 30
(c). 28.5
(d).28
(e). 26.5

Q4. Rohim spends 70% of his income. If his income increases by 25% and expenditure by 20%, what is the new savings in Per cent?
(a). 33.45%
(b). 32.8%
(c). 28%
(d).62%
(e). 31.5%

Q5. A piece of wood is 60 cm broad and 80 cm long. After cutting two sides it was found to have lost 20% of its length and 10% of its breadth. The decrease in area is
(a). 1342
(b).1158
(c). 1354
(d).1344
(e). 1179

Q6. A person buys an article at Rs 260 and marks its selling price at Rs 380. He then allows a discount of 30%. What is his gain or loss per cent?
(a). 31/13 % gain
(b). 30/13 % gain
(c). 2.3% loss
(d).5% gain
(e). 20% gain

Q7. Simon’s expenditures and savings are in the ratio 10:6. If his income increased by 12% and expenditure by 20%, then how much percent do his saving increases or decrease by
(a). 13.34% increases.
(b). 13.32% decreases.
(c). 13.32% increases.
(d).13.34% decreases
(e). 13.51% increase

Q8. The price of some materials rises from Rs.6 per kg to 8.40 per kg. If the expenditure cannot increase, the percentage of reduction in consumption is(approx)
(a). 28.57%
(b). 25.62%
(c). 28.95%
(d).26.57%
(e). 32.52%

Q9. Baksi’s income is 20% less than that of Subha. What Per cent is Subha’s income more than that of Baksi’s?
(a). 32%
(b). 30%
(c). 28.5%
(d).25%
(e) 28%

Q10. A number is increased by 30% and then again by 10%. By what per cent should the increased number be reduced to get back the original number?
(a). 32.06
(b). 25.78
(c). 35.61
(d).28.40
(e) 29.36

Q11. 60 gm sugar solution has 30% of sugar in it. Then quantity of the sugar that should be added to the solution to make the quantity of the sugar 70% in the solution, is
(a). 75
(b). 100
(c). 80
(d).90
(e).84

Q12. In an examination 55% of the students pass in Mathematics and 68% pass in Biology and 32% pass in both. What per cent of student fails in both Mathematics and Biology?
(a). 9%
(b). 11%
(c). 10%
(d).12%
(e). 13%

Q13. Ranjan spends 35% of his income on food, 25% on house rent, 5% on entertainment and 15% on conveyance. If her savings at the end of month Rs 2000, then his salary per month in Rs. Is
(a). 6500
(b). 7500
(c). 9500
(d).10000
(e). 5000

Q14. In an election between two candidates, the candidate getting 65% of the votes polled is elected by a majority of 15000 votes. The no of votes got by the winning candidate is
(a). 32000
(b). 40000
(c). 50000
(d).48000
(e). 56000

Q15.If the sells tax on a Samsung Galaxy Mobile set increases from 6% to 10%, what more amount will have to paid for this mobile handset whose price is Rs. 24000 (excluding taxes).
(a). 860
(b). 590
(c). 660
(d).960
(e). 870
Solution
Q1. Ans.-(c)
Hints: x-30x/100=49

Q2. Ans.-(c)
Let O have Rs. x
Money with N = 3/2 x
And money with M = 3x
Hints: 3x + 3/2x +x = 3 * 110.

Q3. Ans.-(d)
Hints: (x + y +xy/100)
Here x= - 20%, y= -10%.

Q4. Ans.-(b)
Old saving=100-70=30
New income=100 * 125/100 = 125
New expenditure = 70 * 120/100 = 84
New savings = 125-84 = 41
New savings per cent = (41 * 100)/124 = 32.8%.

Q5. Ans.-(d)

Q6. Ans.-(b)
Article cost = 260.
Selling price after discount = 380 – (380 * 30)/100 = 266.
Per cent of gain = (266-260)/260 * 100
= 30/13 %.

Q7. Ans.-(a)
Hints: Let totals income = 10x + 6x = 16x.
New income = 16x * 112/100 = 17.92
New expenditure = 10x * 120/100 = 5.92
Expenditure increase per cent = (6-5.92)/6 * 100 = 13.34 (approx)

Q8. Ans.-(a)
Hints: percentage of reduction in consumption = (a/ (100+a)) * 100.
Here a = % of increase price. = (2.4*100)/6 = 40%.

Q9. Ans.-(d)
Hints: (a/(100-a)) * 100.
Where a= % of less income.

Q10. Ans.-(a)

Q11. Ans.-(c)
Hints: Quantity of added sugar = a [(y-x)/ (100-y)]
Where a = total solution (60 gm)
X = old per cent of sugar.
Y= new percent of sugar.

Q12. Ans.-(a)
Hints: [100-(a + b - c)] %

Q13. Ans.-(d)

Q14. Ans.-(c)
Let the number of entire voters = x.
According to this question the relation
(x * 65)/100 = (x * 35)/10 + 15000

Q15. Ans.-(d)
Here difference between new and old tax (b) = 4%.
A = 24000.
New price = A [(100+b)/100] = 24960
Extra amount paid = 24960-24000 = 960.