The average age of a man and his son is 30 years. The ratio of their age tom-years ago was 10 : 3 respectively. What is the difference between the present age of the man and his son?

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The average age of a man and his son is 30 years. The ratio of their age tom-years ago was 10 : 3 respectively. What is the difference between the present age of the man and his son?

A28 years

B16 years

C26 years

D44 years

Nithin ? undefined

Correct answer is: 28 years

Explanation:

Four years ago,

Let, Father's age = 10x years

Son's age = 3x years

Therefore, 10x + 3x + 8 = 60

=>13x = 60 - 8 = 52 => x = 4

Therefore, Required difference = 7x = 7×4 = 28 years

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A particular sum was divided among A, B and C in the ratio 2 : 6 : 7 respectively. If the amount received by A was Rs.4,908, what was the difference between the amount received by B and C?

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A particular sum was divided among A, B and C in the ratio 2 : 6 : 7 respectively. If the amount received by A was Rs.4,908, what was the difference between the amount received by B and C?

ARs.2,454

BRs.3,494

CRs.2,135

DRs.2,481

Nithin ? undefined

Correct answer is: Rs.2,454

Explanation:

If the total amount be Rs.2,
\(\text{then }\frac{2x}{15}=4908\)
\(\implies x = \frac{4908 \times 15}{2} \text{= Rs.36810}\)

Therefore, Required difference

\(= \frac{7-6}{16} \times 36810 = \text{ Rs. 2454}\)

 

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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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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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An article was purchased for Rs.78,350. Its price was marked up by 30%. It was sold at a discount of 20% on the marked up price. What was the profit percent on the cost price?

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An article was purchased for Rs.78,350. Its price was marked up by 30%. It was sold at a discount of 20% on the marked up price. What was the profit percent on the cost price?

A4

B7

C5

D 3

nithin ? Aug 1 '2022 at 22:1

Correct answer is: 4

Explanation:

Gain per cent (% change)

\(\Large \left(30-20-\frac{30 \times 20}{100}\right) \text{% = 4%}\)

 

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