A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4 respectively. but was erroneously distributed in the ratio 7 : 2 : 5 respectively. As a result of this, B got Rs.40 less. What is the amount?

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BANK PO Exam (Ibps Bank) 2012 click here to view all questions

A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4 respectively. but was erroneously distributed in the ratio 7 : 2 : 5 respectively. As a result of this, B got Rs.40 less. What is the amount?

ARs.210

BRs.270

CRs.230

DRs.280

Nithin ? undefined

Correct answer is: Rs.210

Explanation:

Let the amount be Rs.x.

\(\therefore \left(\frac{3}{9}-\frac{2}{14}\right)x = 40\)

\( \left(\frac{1}{3}-\frac{1}{7}\right)x = 40 \implies \left(\frac{7-3}{21}\right)x = 40\)

\(x = \frac{40 \times 21}{4}\)

\(\text{= Rs.210}\)

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When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?

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When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?

A8

B6

C4

DNone of these

Nithin ? undefined

Correct answer is: None of these

Explanation:

\(\Large \frac{9-x}{15-x}=\frac{15-x}{27-x}\)

\(\Large 243 - 9x - 27x + x^{2}\)

\(\Large 225 - 30x + x^{2}\)

\( 6x = 243 - 225 = 18\)

\(x = 3\)

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Rita invested 25% more than sunil. Sunil invested 30% less than Abhinav, who invested Rs. 6000. What is the ratio of the amount that Rita invested to the total amount by all of them together ?

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Rita invested 25% more than sunil. Sunil invested 30% less than Abhinav, who invested Rs. 6000. What is the ratio of the amount that Rita invested to the total amount by all of them together ?

A35 : 104

B13 : 29

C101 : 36

D35 : 103

Nithin ? undefined

Correct answer is: 35 : 103

Explanation:

Abhinav's investment = Rs.6000

Sunil's investment = \(\Large \frac{70 \times 6000}{100}\) = Rs. 4200

Rita's investment = \(\Large \frac{4200 \times 125}{100}\) = Rs.5250

Therefore, Required ratio = \(\Large 5250 : \left(6000+4200+5250\right)\)

= 5250 : 15450 = 35 : 103

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An amount of money is to be divided among P, Q and R in the ratio of 3 : 5 : 7 respectively. If the amount received by R is Rs.4,000 more than the amount received by Q. what will be the total amount received by P and Q together?

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BANK PO Exam (Allahabad Bank) 2010 click here to view all questions

An amount of money is to be divided among P, Q and R in the ratio of 3 : 5 : 7 respectively. If the amount received by R is Rs.4,000 more than the amount received by Q. what will be the total amount received by P and Q together?

ARs. 8,000

BRs.12,000

CRs.16.000

DCannot be determined

Nithin ? undefined

Correct answer is: Rs.16.000

Explanation:

Let the amount received by P, Q and R be Rs.3x, Rs.5x and Rs.7x respectively.

Therefore 7x - 5x = 4000

\(\implies x = \frac{4000}{2} = 2000\)

Therefore, Amount received by P and Q together = 8x

= 8 x 2000 = Rs.16000

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The respective ratio between the present age of Aarti and Savita is 5 : x. Aarti is 9 years younger than Jahnavi. Jahnavi’s age after 9 years will be 33 years. The difference between Savita’s and Aarti’s age is same as the presen age of Jahnavi. What will come in place of x ?

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BANK PO Exam (Ibps Bank) 2011 click here to view all questions

The respective ratio between the present age of Aarti and Savita is 5 : x. Aarti is 9 years younger than Jahnavi. Jahnavi’s age after 9 years will be 33 years. The difference between Savita’s and Aarti’s age is same as the presen age of Jahnavi. What will come in place of x ?

A21

B37

C17

DNone of these

Nithin ? undefined

Correct answer is: None of these

Explanation:

Jahnavi’s present age = 33 - 9 = 24 years
=> Aarti’s present age = 24 - 9 = 15 years
Now, Aarti : Savita = 5 : x = 15 : 3x
=> Savita’s present age = 3x years

\(\therefore 3x - 15 = 24\)

\(\implies 3x = 24 + 15 = 39\)

\(\implies x =\frac{39}{3}= 13\)

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The ratio of the present age of Manoj to that of Wasim is 3: 11 Wasim is 12 yr younger than Rehana. Rehana's age after 7 yr will be 85 yr. What is the present age of Manoj's father, who is 25 yr older than Manoj?

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The ratio of the present age of Manoj to that of Wasim is 3: 11 Wasim is 12 yr younger than Rehana. Rehana's age after 7 yr will be 85 yr. What is the present age of Manoj's father, who is 25 yr older than Manoj?

A43 yr

B67 yr

C45 yr

D69 yr

Nithin ? undefined

Correct answer is: 43 yr

Explanation:

Let the present ages of Manoj and Wasim are 3x yr and 11x yr, respectively.

According to the question, 11x = 85 - 7 - 12

11x = 66

x = 6

Present age of Manoj = 3 x 6 = 18 yr

Hence, present age of Manoj's father = 18 + 25 = 43 yr

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The respective ratio between the present age of Ram, Rohan and Raj is 3 : 4 : 5, If the average of their present age is 28 years then what would be the sum of the age of Ram and Rohan together after 5 years?

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The respective ratio between the present age of Ram, Rohan and Raj is 3 : 4 : 5, If the average of their present age is 28 years then what would be the sum of the age of Ram and Rohan together after 5 years?

A45 years

B55 years

C52 years

D59 years

Nithin ? undefined

Corrent answer is: 59 years

Explanation:

Let the present age of Ram. Rohan and Raj be 3x, 4x and 5x years respectively.

\(3x + 4x + 5x = 3×28\)

\(= 12x = 84 \implies x = \frac{84}{12}=7\)

Sum of the age of Ram and Rohan after 5 years

\(= 3x + 4x + 10 = 7x + 10\)

\(= 7×7+10 = \text{59 years}\)

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