**1**. From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the numbers?

**Answer** – **2:1**

**From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. The ratio of the numbers is 2:1.**

**1**. From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the numbers?

**Answer** – **2:1**

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**From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. The ratio of the numbers is 2:1.**

**2**. In an innings of a cricket match three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B to that scored by C be 3:2, the number of runs scored by A was:

**Answer** – **171**

**In an innings of a cricket match three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B to that scored by C be 3:2, the number of runs scored by A was 171.**

**2**. In an innings of a cricket match three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B to that scored by C be 3:2, the number of runs scored by A was:

**Answer** – **171**

**In an innings of a cricket match three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B to that scored by C be 3:2, the number of runs scored by A was 171.**

**3**. Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is:

**Answer** – **3/4**

**Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is 3/4.**

**3**. Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is:

**Answer** – **3/4**

**Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is 3/4.**

**4**. The incomes of Albert, Bill, Catherine are in the ratio 7: 9: 12 and their spending are in the ratio of 8: 9: 15. If Albert saves 1/4th of his income, then the savings of Albert, Bill, Catherine are in the ratio of?

**Answer** – **56:99:69**

**The incomes of Albert, Bill, Catherine are in the ratio 7: 9: 12 and their spending are in the ratio of 8: 9: 15. If Albert saves 1/4th of his income, then the savings of Albert, Bill, Catherine are in the ratio of 56:99:69.**

**4**. The incomes of Albert, Bill, Catherine are in the ratio 7: 9: 12 and their spending are in the ratio of 8: 9: 15. If Albert saves 1/4th of his income, then the savings of Albert, Bill, Catherine are in the ratio of?

**Answer** – **56:99:69**

**The incomes of Albert, Bill, Catherine are in the ratio 7: 9: 12 and their spending are in the ratio of 8: 9: 15. If Albert saves 1/4th of his income, then the savings of Albert, Bill, Catherine are in the ratio of 56:99:69.**

**5**. In a journey of 48 km performed by tonga, rickshaw and cycle in that order, the distance covered by the three ways in that order are in the ratio of 8:1:3 and charges per kilometer in that order are in the ratio of 8:1:4. If the tonga charges being 24 paise per kilometer, the total cost of the journey is

**Answer** – **12.48**

**In a journey of 48 km performed by tonga, rickshaw and cycle in that order, the distance covered by the three ways in that order are in the ratio of 8:1:3 and charges per kilometer in that order are in the ratio of 8:1:4. If the tonga charges being 24 paise per kilometer, the total cost of the journey is 12.48.**

**5**. In a journey of 48 km performed by tonga, rickshaw and cycle in that order, the distance covered by the three ways in that order are in the ratio of 8:1:3 and charges per kilometer in that order are in the ratio of 8:1:4. If the tonga charges being 24 paise per kilometer, the total cost of the journey is

**Answer** – **12.48**

**In a journey of 48 km performed by tonga, rickshaw and cycle in that order, the distance covered by the three ways in that order are in the ratio of 8:1:3 and charges per kilometer in that order are in the ratio of 8:1:4. If the tonga charges being 24 paise per kilometer, the total cost of the journey is 12.48.**

**6**. In factory men, women and children were employed in the ratio 8:5:1 to finish a job and their individual wages were in the ratio 5:2:3. Total daily wages of all amount to Rs. 318. Find the total daily wages paid to each category.

**Answer** – **Rs. 240, Rs. 60, Rs. 18**

**In factory men, women and children were employed in the ratio 8:5:1 to finish a job and their individual wages were in the ratio 5:2:3. Total daily wages of all amount to Rs. 318. The total daily wages paid to each category is Rs. 240, Rs. 60, Rs. 18.**

**6**. In factory men, women and children were employed in the ratio 8:5:1 to finish a job and their individual wages were in the ratio 5:2:3. Total daily wages of all amount to Rs. 318. Find the total daily wages paid to each category.

**Answer** – **Rs. 240, Rs. 60, Rs. 18**

**In factory men, women and children were employed in the ratio 8:5:1 to finish a job and their individual wages were in the ratio 5:2:3. Total daily wages of all amount to Rs. 318. The total daily wages paid to each category is Rs. 240, Rs. 60, Rs. 18.**

**7**. In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of educated to uneducated persons is 8:27, then find the ratio of the number of educated to uneducated men in the colony.

**Answer** – **1:3**

**In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of educated to uneducated persons is 8:27, then ratio of the number of educated to uneducated men in the colony is 1:3.**

**7**. In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of educated to uneducated persons is 8:27, then find the ratio of the number of educated to uneducated men in the colony.

**Answer** – **1:3**

**In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of educated to uneducated persons is 8:27, then ratio of the number of educated to uneducated men in the colony is 1:3.**

**8**. A person ordered 4 shirts of brand A and some shirts of Brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 40%. What is the ratio of the number of brand A shirts to that of brand B shirts in the original order?

**Answer** – **1:3**

A person ordered 4 shirts of brand A and some shirts of Brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 40%. The ratio of the number of brand A shirts to that of brand B shirts in the original order is 1:3.

**8**. A person ordered 4 shirts of brand A and some shirts of Brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 40%. What is the ratio of the number of brand A shirts to that of brand B shirts in the original order?

**Answer** – **1:3**

A person ordered 4 shirts of brand A and some shirts of Brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged. This increased the bill by 40%. The ratio of the number of brand A shirts to that of brand B shirts in the original order is 1:3.

**9**. Three leopards are roaming in a zoo in such a way that when lleopard P takes 5 steps, Q takes 6 steps and R takes 7 steps. But the 6 steps of P are equal to the 7 steps of Q and 8 steps of R. What is the ratio of their speeds?

**Answer** – **140:144:147**

**Three leopards are roaming in a zoo in such a way that when lleopard P takes 5 steps, Q takes 6 steps and R takes 7 steps. But the 6 steps of P are equal to the 7 steps of Q and 8 steps of R. the ratio of their speeds 140:144:147.**

**9**. Three leopards are roaming in a zoo in such a way that when lleopard P takes 5 steps, Q takes 6 steps and R takes 7 steps. But the 6 steps of P are equal to the 7 steps of Q and 8 steps of R. What is the ratio of their speeds?

**Answer** – **140:144:147**

**Three leopards are roaming in a zoo in such a way that when lleopard P takes 5 steps, Q takes 6 steps and R takes 7 steps. But the 6 steps of P are equal to the 7 steps of Q and 8 steps of R. the ratio of their speeds 140:144:147.**

**10**. The ratio between the number of passenger travelling by 1st and 2 nd class between the two railway stations is 1: 50, whereas the ratio of 1st and 2nd class fares between the same stations is 3:1. If in a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the 2nd class passengers?

**Answer** – **1250**

**The ratio between the number of passenger travelling by 1st and 2 nd class between the two railway stations is 1: 50, whereas the ratio of 1st and 2nd class fares between the same stations is 3:1. If in a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then the amount collected from the 2nd class passengers is 1250.**

**10**. The ratio between the number of passenger travelling by 1st and 2 nd class between the two railway stations is 1: 50, whereas the ratio of 1st and 2nd class fares between the same stations is 3:1. If in a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the 2nd class passengers?

**Answer** – **1250**

**The ratio between the number of passenger travelling by 1st and 2 nd class between the two railway stations is 1: 50, whereas the ratio of 1st and 2nd class fares between the same stations is 3:1. If in a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then the amount collected from the 2nd class passengers is 1250.**