Percentage Questions

Q1. In a class 80% students passed in Maths. 75% passed in Science and 70% of them passed in English and 85% passed in computers. What is the least percentage of the students who passed in all the four subjects?
a. 10 b. 20
c. 30 d. 40

Q2. At a shopping mall, articles of only one variety are sold such that for every 3 articles sold at the mall, one article is given free. If the cost price of each article is 0.6 times the selling price, what is the effective profit percentage on account of this?
a. 50% b. 33.33%
c. 16.66% d. 25%

Q3. Ajit invested a certain amount of money in affixed deposit scheme which pays an interest of r% p.a. with the interest being compounded annually. If the interest credited for the fourth and the sixth years is Rs. 12000 and Rs. 14520 respectively, what is the amount invested by Ajit?
a. Rs. 90157 b. Rs. 88157
c. Rs. 92157 d. Rs. 93157

Q4. If 20 items of A are sold at a profit of x% and 30 items of B are sold at a profit of 2x%. what is the net profit percentage ?
a. 1.4% b. 1.6%
c. 1.5% d. Data Insufficient

Q5. After three successive equal percentage rise in the price of onion, 1 kg of onion cost Rs. 14.49. If the initial price of onion was Rs.10 /kg then by what percentage the price is increased in each price rise.
a. 12% b. 22%
c. 66% d. 82%

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ans

Q4. If 20 items of A are sold at a profit of x% and 30 items of B are sold at a profit of 2x%. what is the net profit percentage ?
a. 1.4% b. 1.6%
c. 1.5% d. Data Insufficient

ans-1.6% because 20*x+30*2x=80x divided by 50=1.6

Q5. After three successive equal percentage rise in the price of onion, 1 kg of onion cost Rs. 14.49. If the initial price of onion was Rs.10 /kg then by what percentage the price is increased in each price rise.
a. 12% b. 22%
c. 66% d. 82

10*1.12*1.12*1.12=14.049%

Little Star

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ans

Q2. At a shopping mall, articles of only one variety are sold such that for every 3 articles sold at the mall, one article is given free. If the cost price of each article is 0.6 times the selling price, what is the effective profit percentage on account of this?
a. 50% b. 33.33%
c. 16.66% d. 25%

cost price(x)=0.6 times selling price

cost price of 4 article=4x
selling price of 3 article=(3x/0.6)

profit=((3x/0.6)-4x)/4x=(3x-2.4x)/2.4x=25% pr0fit

Little Star

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Q1

Answer is 10%
min common between 80% - 75% : 55%
min common between 70% - 55% : 25%
min common between 85% - 25% : 10%

or simlpy

80 + 75 + 70 + 85 = 310

310 - 300 = 10%

ans 5

loooking at the options it is very clear that the ans should be A i.e. 12 %
the next higher percentage will give you around 14.5 just after two price rises
hence you infer
the ans

Q5 ans

cube of 1.13 is 1.44

so the answer is 13%

ans

Q3. Ajit invested a certain amount of money in affixed deposit scheme which pays an interest of r% p.a. with the interest being compounded annually. If the interest credited for the fourth and the sixth years is Rs. 12000 and Rs. 14520 respectively, what is the amount invested by Ajit?
a. Rs. 90157 b. Rs. 88157
c. Rs. 92157 d. Rs. 93157

if P is the amount and r is the interest rate(%)

sixth year=14250=p(1+(r/100))^6-p(1+(r+100)^5).............(1)
fourth year=14250=p(1+(r/100))^4-p(1+(r+100)^3).............(2)

dividing 1 by 2 equation
{((1+r/100)^6)-(1+r/100)^5))}/{((1+r/100)^6)-(1+r/100)^5))}=1.21

equation became like this

(1+r/100)^3-(1+r/100)^2-1.21(1+r/100)+1.21=0

(1+r/100)=x

x^3-x^2-1.21x+1.21=0
so x=1.1 means r=10

now put r =10 in eq(1) find the value of p which is =90157

Little Star

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n/a

Till ask me what differdent

Till ask me what differdent question answer ?

Till ask me what differdent

Till ask me what differdent question answer ?

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