Arun invested a sum of money at a certain rate of simple interest for a period of four years. Had he invested the same sum for a period of six years the total interest earned by him would have been fifty percent more than the earlier interest amount. What was the rate of interest per cent per annum ?

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Arun invested a sum of money at a certain rate of simple interest for a period of four years. Had he invested the same sum for a period of six years the total interest earned by him would have been fifty percent more than the earlier interest amount. What was the rate of interest per cent per annum ?

A4

B8

C5

DCannot be determined

upendra ? undefined

Correct answer is: Cannot be determined

Explanation:

According to the question,

\(\Large \frac{P \times R \times 6}{100}=\frac{P \times R \times 4}{100} \times \frac{150}{100}\)

This relation gives no result.

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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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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 ratio between the age of a father and a son at present is 5 : 2 respectively. Four years hence the ratio between the age of the son and his mother will be 1 : 2 respectively. What is the ratio between the present age of the father and the mother respectively?

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The ratio between the age of a father and a son at present is 5 : 2 respectively. Four years hence the ratio between the age of the son and his mother will be 1 : 2 respectively. What is the ratio between the present age of the father and the mother respectively?

A3 : 4

B5 : 4

C4 : 3

DCannot be determined

Nithin ? Aug 15 '2022 at 7:37

Correct answer is: Cannot be determined

Explanation:

Let the present age of father and son be 5x and 2x years respectively.

After 4 years,

and mother's age = 2y years

Now, y = 2x + 4 => x = \(\Large \frac{y-4}{2}\)

Therefore, Father's present age = \(\Large 5\frac{ \left(y-4\right) }{2}\) years

 

Mother's present age = (2y - 4) years

Clearly, data are inadequate.

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When 30% of one number is subtracted from another number, the second number reduces to its own four-fifth. What is the ratio between the first and the second numbers respectively?

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When 30% of one number is subtracted from another number, the second number reduces to its own four-fifth. What is the ratio between the first and the second numbers respectively?

A 4 : 7

B3 : 2

C2 : 5

DNone of these

Nithin ? Aug 12 '2022 at 21:59

Correct answer is: None of these

Explanation:

let the numbers be x and y respectively.
According to the question,

\(\Large y-\frac{x \times 30}{100}=\frac{4}{5}y\)

\(\implies \frac{y}{5}=\frac{3x}{10}\)

\(= \Large x : y = \frac{10}{3 \times 5}\)

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A shopkeeper bought 30 kg. of wheat at the rate of Rs.45 per kg. He sold forty percentof the total quantity at the rate of Rs. 50 per kg. Approximately, at what price per kg. should he sell the remaining quantity to make 25 per cent overall proflt ?

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A shopkeeper bought 30 kg. of wheat at the rate of Rs.45 per kg. He sold forty percentof the total quantity at the rate of Rs. 50 per kg. Approximately, at what price per kg. should he sell the remaining quantity to make 25 per cent overall proflt ?

A Rs. 54

BRs. 52

CRs. 50

DRs. 60

Nithin ? Jul 31 '2022 at 21:18

Correct answer is: Rs. 60

Explanation: 

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