Question 1: Find the sum of of Rs. and of Rs.

Answer:

Sum

Question 2: of a number is . Find the number.

Answer:

Let the number be

Question 3: One-fifth of a number exceeds its one-ninth by . Find the number.

Answer:

Let the number be

Question 4: If of an estate is worth of Rs. , what is the value of the whole estate?

Answer:

Let the value of the whole estate

Question 5: The product of two fractions is . If one of the fractions is , find the other.

Answer:

Let one fraction be

Question 6: of of a number is greater than of of the same number by . Find the number.

Answer:

Let the number be

Question 7: Find the fraction which is as much greater than as is less than .

Answer:

Let the fraction be

Question 8: On a certain day, people visited the school exhibition. Out of this, were men and were ladies and the rest children. How many children visited the exhibition?

Answer:

Let the number of children

Question 9: A cake weighs kg. If of its weight is flour, of its weight is sugar, of its weight is milk and the rest is nuts and plums, find the weight of nuts and plums in the cake.

Answer:

Let the weight of nuts and plums be kg.

gms

Question 10: of a pole is colored white, is colored red, is colored green and the rest is colored black. If the length of the black portion is m cm, then find the length of the pole.

Answer:

Let the length of the pole is meters

Question 11: A man had Rs. . He gave of it to his wife, of the remainder to his daughter and of the remainder to his elder son. The rest of the money he gave to his younger son. How much money did the younger son get?

Answer:

Wife’s Share in Rs.

Daughter’s Share in Rs.

Elder Son’s Share in Rs.

Younger Son’s Share in Rs.

Question 12: If of a pencil is black, of the remaining is white and the remaining cm is blue, find the total length of the pencil.

Answer:

Let the length of the pencil be cm

Question 13: A man spends of his monthly income on food and clothes and of the remainder on house rent. What fraction of income is left with him? If money left is Rs. , what is his monthly income?

Answer:

Let the monthly income is

Salary (Rs.)

Fraction of Income left

Question 14: A student was asked to multiply a given number by . Instead, he divided the given number by . His answer was more than the correct answer. What was the given number?

Answer:

Let the number be

Question 15: The highest score in an inning was of the total and the next highest was of the remainder. If the scores differed by , find the total score.

Answer:

Let the score be

Question 16: In a school, of the girls and of the boys took part in a social camp. What fraction of the total strength took part in the camp?

Answer:

girl out of girls and boy out of boys took part in the camp.

That means pupils out of every , took part in the camp.

Hence the fraction that took part in the camp is

Question 17: A train starts full of passengers. At the first station, it drops one-third of the passengers and takes more. At the second station, it drops one-half of the new total and takes more. On arriving at the third station, it is found to have passengers. Find the number of passengers in the beginning.

Answer:

Let the initial passengers be

After the train leaves the first station the number of passengers in the train

After the train leaves the Second Station, the number of passengers in the train

Hence:

Solving for we get

Question 18: In a fraction, the denominator exceeds the numerator by . If the numerator and the denominator are both increased by , the fraction becomes . Find the original fraction.

Answer:

Let the fraction be:

If you add to both the numerator and denominator then we have:

Solving for we get:

and the fraction

Question 19: A water tank was filled with water. of this water was consumed and then litres of water was added through a filling pipe. If the tank was now half-full, then find the capacity of the tank.

Answer:

Let the capacity of the tank be

Solving for we get liter

Question 20: A car covers km in hours. Find the speed of the car in km/hr.

Answer:

Speed

Speed

Speed km/hr

Question 21: Find the least fraction that must be subtracted from the sum of ,and so that the result is a whole number.

Answer:

Sum of

Hence we should subtract so that the result is a whole number.

Question 22: Rajan earns twice as much in the month of June as in each of the other months of the year. What part of his entire annual earnings was earned in June?

Answer:

Let the monthly income in months other than June is

Income in June

Therefore of the entire annual earnings was earned in June

Question 23: A certain amount is distributed among and . gets and gets of the whole amount. If gets , then find the amount which gets.

Answer:

Let the amount be

Solving for ,we get

Therefore gets

Question 24: In a family, the father took of the cake and he had as much as each of the other members had. Find the total number of family members.

Answer:

Let the amount of cake is and the number of family members be

Each family member gets cake

Therefore

or

Question 25: A sum of Rs. has been divided among and such that gets of what gets and gets of what gets. Find B’s share.

Answer:

Let get

Therefore

Solving for

B’s Share