MATHSWORLD4YOU

ALLIGATIONS PRACTICE SET-1

1. 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off
in the examination. If the total percentage of students qualifying is 65%, how many girls appeared
in the examination?
(a) 100
(b) 120
(c) 150
(d) 300

2. A man purchased a cow and a calf for ` 1300. He sold the calf at a profit of 20% and the cow at a
profit of 25%. In this way, his total profit was 23 %. Find the cost price of the cow.
(a) 1100
(b) 600
(c) 500
(d) 800

3. A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be
added to the above mixture to make the water 12.5% of the resulting mixture?
(a) 1 litre
(b) 1.5 litre
(c) 2 litre
(d) 2.5 litre

4. A merchant purchased two qualities of pulses at the rate of ` 200 per quintal and ` 260 per quintal.
In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by
selling the resulting mixture at ` 300 per quintal, he gains a profit of 25%?
(a) 100 quintal
(b) 104 quintals
(c) 26 quintals
(d) None of these

5.Two containers of equal capacity are full of a mixture of oil and water. In the first, the ratio of oil
to water is 4 : 7 and in the second it is 7 : 11. Now both the mixtures are mixed in a bigger
container. What is the resulting ratio of oil to water?
(a) 149 : 247
(b) 247 : 149
(c) 143 : 241
(d) 241 : 143

Answer key: 1. (a) 2.(d) 3.(d) 4.(d) 5. (a)

AVERAGE PRACTICE SET-1

1.Three years ago, the average age of A, B and C was 27 years and that of B and C 5 years ago was
20 years. A’s present age is
(a) 30 years
(b) 35 years
(c) 40 years
(d) 48 years

2.The marks obtained by Hare Rama in Mathematics, English and Biology are respectively 93 out
of 100, 78 out of 150 and 177 out of 200. Find his average score in percent.
(a) 87.83
(b) 86.83
(c) 76.33
(d) 77.33

3.The average age of a family of 6 members is 22 years. If the age of the youngest member be 7
years, what was the average age of the family at the birth of the youngest member?
(a) 15
(b) 18
(c) 21
(d) 12

4.The average of a batsman after 25 innings was 56 runs per innings. If after the 26th inning his
average increased by 2 runs, then what was his score in the 26th inning?
(a) 108
(b) 110
(c) 125
(d) 150

5.A man covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and
the rest by cycle at 10 km/h. Find his average speed during the entire journey.
(a) 36 kmph
(b) 30 kmph
(c) 24 kmph
(d) 18 kmph

PERCENTAGE PRACTICE SET-1

1. Last year, a cricket team played 40 one-day cricket matches out of which they managed to
win only 40%. This year, so far it has played some matches, which has made it mandatory for it to
win 80% of the remaining matches to maintain its existing winning percentage. Find the number of
matches played by cricket team so far this year.
(a) 30
(b) 25
(c) 28
(d) Insufficient Information

2.In the recent, climate conference in New York, out of 700 men, 500 women, 800 children present
inside the building premises, 20% of the men, 40% of the women and 10% of the children were
Indians. Find the percentage of people who were not Indian.
(a) 73%
(b) 77%
(c) 79%
(d) 83%

3. Out of the total production of iron from hematite, an ore of iron, 20% of the ore gets wasted, and
out of the remaining ore, only 25% is pure iron. If the pure iron obtained in a year from a mine of
hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
(a) 5,00,000 kg
(b) 4,00,000 kg
(c) 4,50,000 kg
(d) None of these

4. Arushi’s project report consists of 25 pages each of 60 lines with 75 characters on each line. In
case the number of lines is reduced to 55 but the number of characters is increased to 90 per lines,
what is the percentage change in the number of pages. (Assume the number of pages to be a whole
number)
(a) +10%
(b) +5%
(c) –8%
(d) –10%

5.The price of a certain article was raised by 10% in India. The consumption of the same article
was increased from 200 tons to 225 tons. By how much percent will the expenditure on the article
rise in the Indian economy?
(a) 24.25%
(b) 22.5%
(c) 23.75%
(d) 26.75%

GEOMETRY

PROFIT & LOSS

1.A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the

customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or

selling 1 kilogram. Find the percentage profit earned by the shopkeeper.

(a) 20% (b) 25%

2. A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the

customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage

profit due to these maneuvers.

(a) 8% (b) 12%

3. A dishonest shopkeeper, at the time of selling and purchasing, weighs 10% less and 20% more per

kilogram respectively. Find the percentage profit earned by treachery. (Assuming he sells at Cost

Price)

(a) 30% (b) 20%

4. A, B and C form a company. A invests half of C expecting a return of 10%. B invests three-fourths

of C, expecting a return of 15% on it. C invests ` 3000 and the profit of the firm is 25%. How

much would B’s share of profit be more than that of A’s share if B gets an additional 8% for

managing the business? (Assume that their expectations with respect to returns on capital invested

are met before profit is divided in the ratio of capitals invested).

(a) 20% (b) 18%

5. A flat and a piece of land were bought by two friends Raghav and Sita respectively at prices of `

2 lakh and ` 2.2 lakh. The price of the flat rises by 20 percent every year and that of land by 10%

every year. After two years, they decide to exchange their possessions. What is percentage gain of

the gainer?

(a) 7.56% (b) 6.36%

GEOMETRY

hardest geometry problem

Triangle Problem: Find the value of X

This diagram is not drawn to scale.

If a merchant offers a discount of 30% on the list price, then he makes a loss of 16%. What % profit or % loss will he make if she sells at a discount of 10% of the list price?

1. 6% loss
2. 0.8%profit
3. 6.25% loss
4. 8% profit

maths

hardest geometry problem