Number of Students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join Arts faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together?

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Number of Students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join Arts faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total number of students in both faculties together?

A1100

B1294

C1370

D None of these

Nithin ? Aug 12 '2022 at 8:20

Correct answer is: None of these

Explanation:

Let the original number of students in Arts and Science faculties be 5x and 8x respectively.

According to the question,

\(\frac{5x+150}{8x+80} = \frac{3}{4}\)

\(\implies 24x + 240 = 20x + 600\)

\(\implies 4x = 360\)

\(\implies x= 9\)

\(\therefore \text{Original number of students = 5x + 8x = 13x}\)

\(= 13 × 90 = 1170\)

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Production of company A is 120% of the production of company B and 80% of the production of company C. What is the ratio between the productions of companies A, B and C respectively?

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Production of company A is 120% of the production of company B and 80% of the production of company C. What is the ratio between the productions of companies A, B and C respectively?

A6 : 5 : 9

B6 : 5 : 4

C12 : 10 : 15

D10 : 12 : 15

Nithin ? Aug 11 '2022 at 21:53

Correct ander is: 12 : 10 : 15

Explanation:

Let the production of company B = 100 units

Therefore, Production of company A = 120 units

Production of company C 120 x 100 = \(\Large \frac{120 \times 100}{80}\) = 150 units

Therefore, Required ratio =120 : 100 : 150

= 12 : 10 : 15

 

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A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs. 2580 more than the share of B, then what is the total amount A and D together ?

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BANK PO Exam (Canara Bank) 2009 click here to view all questions

A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs. 2580 more than the share of B, then what is the total amount A and D together ?

ARs. 5676

BRs. 6192

CRs. 6708

DRs. 7224

Nithin ? Aug 11 '2022 at 21:47

Correct answer is: Rs. 6708

Explanation:

Let the shares of A, B, C and D be Rs. 3x, 4x, 9x and 10x respectively.
= 9x - 4x =2580
⇒ 5x = 2580
⇒ x = 516
∴ Required Amount = 3x + 10x = 13x
= Rs. (13 × 516)
= Rs. 6708

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20 boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (eg, if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7: 8?

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BANK PO Exam (Bank Of Baroda) 2008 click here to view all questions

20 boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (eg, if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7: 8?

A75

B65

C70

D60

Nithin ? Aug 11 '2022 at 21:43

Correct answer is: 75

Explanation:

Let the no. of increased boys and girls be x each
Thus \(\frac{(20 + x)}{(25 + x)} = \frac{7}{8}\)
Thus x = 15
Hence number of members of group = 20 + 15 + 25 + 15 = 75

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In a college the number of students studying Arts, Commerce and Science are in the ratio of 3 : 5 : 8 respectively. If the number of students studying Arts, Commerce and Science is increased by 20%, 40% and 25% respectively, what will be the new ratio of students in Arts,Commerce and Science respectively?

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In a college the number of students studying Arts, Commerce and Science are in the ratio of 3 : 5 : 8 respectively. If the number of students studying Arts, Commerce and Science is increased by 20%, 40% and 25% respectively, what will be the new ratio of students in Arts,Commerce and Science respectively?

A18 : 35 : 50

B3 : 10 : 10

C4 : 8 : 5

D32 : 35 : 25

Nithin ? Aug 11 '2022 at 21:36

Correct answer is: 18 : 35 : 50

Explanation:

Let the number of students in Arts. Commerce and Science be

3x, 5x and 8x respectively.

On increasing their respective numbers,

Required ratio

\(=\Large 3x \times \frac{12}{100} : 5x \times \frac{140}{100} : 8x \times \frac{125}{100}\)

= 360 : 700 : 1000 = 18 : 35 : 50

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A sum of money is to be divided among four persons in the ratio of 2:3:4:5. Out of the four, one person gets Rs 200 more than the other and Rs 100 less than another. What is the sum ?

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A sum of money is to be divided among four persons in the ratio of 2:3:4:5. Out of the four, one person gets Rs 200 more than the other and Rs 100 less than another. What is the sum ?

ARs 2800

BRs 1400

CRs 4200

DCan’t be determined

nithin ? Aug 11 '2022 at 21:30

Correct answer is: Rs. 1400

Explanation:

From the options,
2x + 3x + 4x + 5x = 1400
=> 14x = 1400  x = 100
shares are : Rs. 200, Rs. 300.
Rs. 400 and Rs. 500.
Hence, total sum = 200 + 300 + 400 + 500
= Rs. 1400

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Samaira, Mahira and Kiara rented a set of DVDs at a rent of Rs. 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara's share of rent to be paid ?

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BANK PO Exam (Bank Of Maharashtra) 2008 click here to view all questions

Samaira, Mahira and Kiara rented a set of DVDs at a rent of Rs. 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara's share of rent to be paid ?

ARs. 192

BRs. 204

CRs. 215

DRs. 238

Nithin ? Aug 11 '2022 at 21:23

Correct answer is: Rs. 238

Explanation:

\(\eqalign{ & {\text{Ratio of shares}} \cr & = 8:12:14 \cr & = 4:6:7 \cr & \therefore {\text{Kiara's share}} \cr & = {\text{Rs}}{\text{.}}\left( {578 \times \frac{7}{{17}}} \right) \cr & = {\text{Rs. }}{\text{238}} \cr}\)

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