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1.	If 264 is divided in the ratio 31 : 13, what is the value of the smaller part?1. 652. 783. 914. 104
Answer» Correct Answer - Option 2 : 78 Given: Total part = 264 Ratio of both parts = 31 : 13 Calculation: Let the both parts be 31x and 13x According to question, 31x + 13x = 264 ⇒ 44x = 264 ⇒ x = 6 Smaller part = 6x ⇒ 6× 13 ⇒ 78 ∴ The smaller parts is 78

If 264 is divided in the ratio 31 : 13, what is the value of the smaller part?1. 652. 783. 914. 104

Answer» Correct Answer - Option 2 : 78

Given:

Total part = 264

Ratio of both parts = 31 : 13

Calculation:

Let the both parts be 31x and 13x

According to question,

31x + 13x = 264

⇒ 44x = 264

⇒ x = 6

Smaller part = 6x

⇒ 6× 13

⇒ 78

∴ The smaller parts is 78

Discussion

2.	Rs. 3,600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema∶ Komal = 1.5∶ 2 and Komal∶ Rita = 2∶ 2.5. Find Rita's share.1. Rs. 1,3002. Rs. 1,5003. Rs. 1,2004. Rs. 1,400
Answer» Correct Answer - Option 2 : Rs. 1,500 Given: Total amount to be divided among Seema, Komal and Rita = Rs. 3600 Ratio of shares of Seema and Komal = 1.5 : 2 Ratio of shares of Komal and Rita = 2 : 2.5 Calculation: Ratio of shares of Seema and Komal = 1.5x : 2 x Ratio of shares of Komal and Rita = 2x : 2.5x Ratio of shares of Seema, Komal and Rita = 1.5x : 2x : 2.5x According to the question 1.5x + 2x + 2.5x = 3600 ⇒ 6x = 3600 ⇒ x = 3600/6 ⇒ x = 600 ∴ Share of Rita = 2.5× 600 = Rs. 1,500

Rs. 3,600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema∶ Komal = 1.5∶ 2 and Komal∶ Rita = 2∶ 2.5. Find Rita's share.1. Rs. 1,3002. Rs. 1,5003. Rs. 1,2004. Rs. 1,400

Answer» Correct Answer - Option 2 : Rs. 1,500

Given:

Total amount to be divided among Seema, Komal and Rita = Rs. 3600

Ratio of shares of Seema and Komal = 1.5 : 2

Ratio of shares of Komal and Rita = 2 : 2.5

Calculation:

Ratio of shares of Seema and Komal = 1.5x : 2 x

Ratio of shares of Komal and Rita = 2x : 2.5x

Ratio of shares of Seema, Komal and Rita = 1.5x : 2x : 2.5x

According to the question

1.5x + 2x + 2.5x = 3600

⇒ 6x = 3600

⇒ x = 3600/6

⇒ x = 600

∴ Share of Rita = 2.5× 600 = Rs. 1,500

Discussion

3.	The ratio of Milk to water in three types of Mixture of equal quantity is 3 : 2, 7 : 3 and 2 : 5 respectively. The three mixtures are mixed together. What is the ratio of milk to Water after mixing?1. 37 : 332. 33 : 373. 35 : 374. 31 : 375. None of these
Answer» Correct Answer - Option 1 : 37 : 33 Solution: Given: Ratio of Milk to Water in 1st mixture = 3 : 2 Ratio of Milk to Water in 2nd mixture = 7 : 3 Ratio of Milk to Water in 3rd mixture = 2 : 5 Concept used: Ratio of Milk to Water in final mixture = (Milk in 1st mixture + Milk in 2nd mixture + Milk in 3rd mixture) : (Water in 1st mixture + Water in 2nd mixture + Water in 3rd mixture) Calculation: Let the quantity of each mixture be ‘x’ Then quantity of Milk after mixing is {(3/5) + (7/10) + (2/7)} x ⇒ {(42 + 49 + 20)/70} x ⇒ (111/70) x and quantity of water after mixing is {(2/5) + (3/10) + (5/7)} x ⇒ {(28 + 21 + 50)/70} x ⇒ (99/70) x Ratio of Milk and Water in final mixture = (111/70) x : (99/70) x ⇒ 111 : 99 ∴ 37 : 33

The ratio of Milk to water in three types of Mixture of equal quantity is 3 : 2, 7 : 3 and 2 : 5 respectively. The three mixtures are mixed together. What is the ratio of milk to Water after mixing?1. 37 : 332. 33 : 373. 35 : 374. 31 : 375. None of these

Answer» Correct Answer - Option 1 : 37 : 33

Solution:

Given: Ratio of Milk to Water in 1st mixture = 3 : 2

Ratio of Milk to Water in 2nd mixture = 7 : 3

Ratio of Milk to Water in 3rd mixture = 2 : 5

Concept used: Ratio of Milk to Water in final mixture = (Milk in 1st mixture + Milk in 2nd mixture + Milk in 3rd mixture) : (Water in 1st mixture + Water in 2nd mixture + Water in 3rd mixture)

Calculation: Let the quantity of each mixture be ‘x’

Then quantity of Milk after mixing is {(3/5) + (7/10) + (2/7)} x

⇒ {(42 + 49 + 20)/70} x

⇒ (111/70) x

and quantity of water after mixing is {(2/5) + (3/10) + (5/7)} x

⇒ {(28 + 21 + 50)/70} x

⇒ (99/70) x

Ratio of Milk and Water in final mixture = (111/70) x : (99/70) x

⇒ 111 : 99

∴ 37 : 33

Discussion