When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?
When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?
When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?
Nithin ? undefined
Correct answer is: None of these
Explanation:
\(\Large \frac{9-x}{15-x}=\frac{15-x}{27-x}\)
\(\Large 243 - 9x - 27x + x^{2}\)
\(\Large 225 - 30x + x^{2}\)
\( 6x = 243 - 225 = 18\)
\(x = 3\)
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 ?
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
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?
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
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 ?
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\(\therefore 3x - 15 = 24\)
\(\implies 3x = 24 + 15 = 39\)
\(\implies x =\frac{39}{3}= 13\)
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?
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
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?
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
\(= 3x + 4x + 10 = 7x + 10\)
\(= 7×7+10 = \text{59 years}\)
The respective ratio between the present age of son, mother, father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother is 27 years. What will be mother's age after 7 years?
Nithin ? undefined
Correct answre is: 49 years
Explanation:
According to the question,
\(\Large \frac{2x+7x}{2}=27\)\(\implies \Large 9x = 27 \times 2 = 54\)
\(\implies x = \frac{54}{9}=6\)
Therefore Mother's age after 7 years
\(= \Large 7x + 7 = 7 \times 6 + 7\)
= 49 years