The ratio of the number of students studying in school A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the school is increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in school A, B and C?

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The ratio of the number of students studying in school A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the school is increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in school A, B and C?

A3 : 25 : 15

B20 : 25 : 13

C15 : 25 : 13

DCannot be determined

Nithin ? Aug 12 '2022 at 21:48

Correct answer is: 15 : 25 : 13

Explanation:

Required ratio

\(\Large \frac{5 \times 120}{100}:\frac{8 \times 125}{100}:\frac{4 \times 130}{10}\)

\(\Large 5 \times 120 :\ 8 \times 125 :\ 4 \times 130\)

\(= 15 : 25 : 13\)

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Which of the following represents ab = 64 ?

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Which of the following represents ab = 64 ?

A8 : a = 8 : b

Ba : 16 = b : 4

Ca : 8 = b : 8

D32 : a = b : 2

Nithin ? Aug 12 '2022 at 21:17

Correct answer is: 32 : a = b : 2

Explanation:

\(\Large \frac{32}{a}=\frac{b}{2} => ab = 64\)

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In a test, a candidate secured 336 marks out of maximum marks 'x'. If the maximum marks 'x' were converted into 400 marks, he would have secured 192 marks. What were the maximum marks of the test?

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In a test, a candidate secured 336 marks out of maximum marks 'x'. If the maximum marks 'x' were converted into 400 marks, he would have secured 192 marks. What were the maximum marks of the test?

A700

B750

C500

D650

Nithin ? Aug 12 '2022 at 21:11

Correct answer is: 700

Explanation:

\(x : 336 = 400 : 192\)

\(\Large x \times 192 = 336 \times 400\)

\(\implies \Large x = \frac{336 \times 400}{192}\)

\(x = 700\)

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75% of a number is equal to \Large \frac{5}{8} th of another number. What is the ratio between the first number and the second number respectively?

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75% of a number is equal to $\Large \frac{5}{8}^\text{th}$ of another number. What is the ratio between the first number and the second number respectively?

A 5 : 4

B6 : 5

C4 : 5

D5 : 6

Nithin ? Aug 12 '2022 at 21:0

Correct answer is: 5 : 6

Explanation:

Let the number be x and y respectively.

\(\therefore \Large \frac{75x}{100}=\frac{5y}{8}\)
\(= \Large \frac{x}{y} = \frac{5}{8} \times \frac{100}{75} = \frac{5}{6} or\ 5 : 6\)

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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?

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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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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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