1 . 
The incomes of A and B are in the ratio 3 : 2 and their expenditures are in the ratio 5 : 3. If each savs Rs. 2000, what is their income? 

Answer & Explanation
Answer : Option
B


Explanation : 







2 . 
When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the stop 16 passengers get down and 6 more female passengers get into. Now the ratio of the male to female passengers becomes 2 : 1. What was the total number of passengers in the bus when it started from the first stop? 

Answer & Explanation
Answer : Option
A


Explanation : 







3 . 
An exployer reduces the number of his employees in the ratio 9 : 8 and increases their wates in the ratio 14 : 15. State whether his bill of total wages increases or decreases, and in what ratio. 

Answer & Explanation
Answer : Option
A


Explanation : 

9 : 8 14 : 15 We know that the total bill = wage per person $\times$ no. of total employees. Therefore, the ratio of change in bill = 9 $\times$ 14 : 8 $\times$ 15 = 126 : 120 = 21 : 20 The ratio shows that there is a decrease in the bill 





4 . 
Rs.50 is divided among 6 men, 12 women and 17 boys so that 2 men get as much as 5 boys and 2 women as much as 3 boys. Find the share of a boy. 

Answer & Explanation
Answer : Option
A


Explanation : 







5 . 
A, B and C enter into partnership. A advances onefourth of the capital for onefourth of the time. B contributes onefifth of the capital for half of the time. C contributes the remaining capital for the whole time. How should they divide a profit of Rs. 1140? 

Answer & Explanation
Answer : Option
A


Explanation : 







6 . 
Three containers A, B and C are having mixtures of milk and water in the ratio 1 : 5, 3 : 5 and 5 : 7, respectively. If the capacities of the containers are in the ratio 5 : 4 : 5, then find the ratio of the milk to the water if the mixtures of all the three containers are mixed together. 

Answer & Explanation
Answer : Option
C


Explanation : 







7 . 
A and B rent a pasture for 10 months. A puts in 100 cows for 8 months. How many cows can B put in for the remaining 2 months, if he pays half as much as A? 

Answer & Explanation
Answer : Option
B


Explanation : 







8 . 
A, B and C are partners. A receives $2 \over 5$ of the profit and B and C share the remaining profit equally. A's income is increased by Rs.220 when the profit rises from 8% to 10%. Find the capitals invested by A, B and C. 

Answer & Explanation
Answer : Option
D


Explanation : 







9 . 
Shri Ramlal distributed his savings among his wife, two sons and one daughter in such a way that wife gets double of what each son gets and each son gets double of what the daughter gets. If the amount received by each son is Rs. 48,000, what was the total amount distributed by Shri Ramlal? 

Answer & Explanation
Answer : Option
E


Explanation : 

Amount received by each son = Rs. 48000 Amount received by her daughter = Rs. 24000 and amount received by the wife = Rs. 96000 Total amount distributed by Shri Ramlal = Rs. (96000 + 2 $\times$ 48000 + 24000) = Rs. 216000 





10 . 
Two vessels contain mixtures of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. The contents of both of these are mixed in a specific ratio into a third vessel. How much mixture must be drawn from the second vessel to fill the third vessel (capacity 26 gallons) completely in order that the resulting mixture may be half milk and half water ? 

Answer & Explanation
Answer : Option
B


Explanation : 

Hence y = $7 \over 13$ $\times$ 26 = 14 gallons 





11 . 
The ratio of the number of boys to the number of girls studying in a school is 25 : 29. The total number of students studying in the school is 270. If 15 boys and 15 girls take admission in the school, what will be the new ratio of the boys and girls studying in the school? 

Answer & Explanation
Answer : Option
C


Explanation : 

Total no. of boys in the school = $25 \over 54$ $\times$ 270 = 125 Total no. of girls in the school = $29 \over 54$ $\times$ 270 = 145 After inclusion of 15 boys and 15 girls, the ratio of boys to girls in the school = (125 + 15) : (145 + 15) = 140 : 160 = 7 : 8 





12 . 
There are two numbers such that the sum of twice the first number and thrice the second number is 141 and the sum of thrice the first number and twice the second number is 174. Which is the larger number? 

Answer & Explanation
Answer : Option
C


Explanation : 







13 . 
Mr. Shrimat inherits 2505 gold coins and divides them amongst his 3 sons  Bharat, Parat and Marat  in a certain ratio. Out of the total coins received by each of them, Bharat sells 30 coins, Parat donates his 30 coins and Marat loses 25 coins. Now the ratio of gold coins with them is 46 : 41 : 34 respectively. How many coins did Parat receive from his father? 

Answer & Explanation
Answer : Option
D


Explanation : 







14 . 
The cost of 11 kgs of sugar is Rs.264. The cost of 14 kgs of tea is Rs. 252 and the cost of 17 litres of milk is Rs. 544. What is the total cost of 24 kgs of sugar, 21 kgs of tea and 25 litres of milk? 

Answer & Explanation
Answer : Option
E


Explanation : 







15 . 
Populations of two villages X and Y are in the ratio of 5 : 7 respectively. If the population of village Y increases by 25000 and the population of village X remains unchanged the respective ratio of their populations becomes 25 : 36. What is the population of village X? 

Answer & Explanation
Answer : Option
A


Explanation : 







16 . 
Number of students studying in colleges A and B are in the ratio of 3 : 4 respectively. If 50 more students join college. A and there is no change in the number of students in College B, the respective ratio becomes 5 : 6. What is the number of students in College B? 

Answer & Explanation
Answer : Option
D


Explanation : 







17 . 
Three friends Anita, Bindu and Champa divide Rs. 1,105 amongst them in such a way that if Rs. 10, Rs. 20 and Rs. 15 are removed from the sums that Anita, Bindu and Champa received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Champa receive ? 

Answer & Explanation
Answer : Option
A


Explanation : 







18 . 
Two casks of 48 Land 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 L of water is added to the whole, what will be the proportion of wine to water in the resultant solution? 

Answer & Explanation
Answer : Option
B


Explanation : 







19 . 
Kiran starts a business with an investment of Rs. 40,000. Anil joins her after three months with a capital of Rs. 30,000. If Kiran withdraws 4 months before the end of the year. Find the ratio in which they share the profits at the end of the year. 

Answer & Explanation
Answer : Option
C


Explanation : 

Ratio of equivalent capitals for 1 month = 40000 $\times$ 8 : 30000 $\times$ 9 = 32 : 27 = Ratio of profit 





20 . 
If A : B : C = 2 : 3 : 4, then $A \over B$ : $B \over C$ : $C \over A$ is equal to 

Answer & Explanation
Answer : Option
D


Explanation : 







21 . 
A sum of Rs. 1300 is divided amongst P, Q, R and S such that Then, P's share is: 

Answer & Explanation
Answer : Option
B


Explanation : 







22 . 
20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture be replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be: 

Answer & Explanation
Answer : Option
B


Explanation : 







23 . 
Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixture of milk and water. The mixtures contain milk and water in the ratio of (4 : 1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is 

Answer & Explanation
Answer : Option
C


Explanation : 







24 . 
The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is 

Answer & Explanation
Answer : Option
B


Explanation : 







25 . 
The sides of a triangle are in the ratio $1 \over 2$ : $1 \over 3$ : $1 \over 4$ and its perimeter is 104 cm. The length of the longest side is: 

Answer & Explanation
Answer : Option
B


Explanation : 







26 . 
The ratio of three numbers A, B and C is 6: 8:15. If A, B and C are increased by 300%, 275% and 100% respectively, what will be the new ratio of A, B and C? 

Answer & Explanation
Answer : Option
B


Explanation : 

Let the numbers be 600, 800 and 1500. Then the new numbers are 2400, 3000 and 3000 Ratio = 24 : 30 : 30 = 4 : 5 : 5 





27 . 
X started a business by investing Rs.120000. 1.5 years later, Y joined the business by investing Rs.150000, and 3.5 years later, a third person Z joined the business by investing Rs.280000. At the end of 6.5 years, they earned a profit of Rs.108941. What is the difference between Z's share and X's share in the profit? 

Answer & Explanation
Answer : Option
B


Explanation : 







28 . 
The ratio of two numbers is 4 : 7. If each of these numbers increases by 30, their ratio will become 5 : 8 . What is the average of these two numbers? 

Answer & Explanation
Answer : Option
D


Explanation : 







29 . 
Shalini and Nalini invested Rs. 80,000 each and started a business. After one year Shalini invests an additional amount of Rs. 20,000 and Nalini withdraws Rs. 30,000. At the end of two years they earn a profit of Rs. 93,000. What will be Nalini's hare in the profit? 

Answer & Explanation
Answer : Option
A


Explanation : 







30 . 
Salary of Mr. X is 80% of the salary of Mr. Y, and the salary of Mr. Z is 120% of the salary of Mr X. What is the ratio between the salaries of X, Y and Z respectively? 

Answer & Explanation
Answer : Option
E


Explanation : 







