The respective ratio between the present ages of father, mother and daughter is 7 : 6 : 2. The difference between mother’s and the daughter’s age is 24 years. What is the father’s age at present ?
(a) 43 years
(b) 42 years
(c) 39 years
(d) 38 years
(e) None of these
Solution: (e)
Let present age of father, mother and daughter be
7x, 6x, 2x
Given, 6x – 2x = 24
\(\displaystyle \Rightarrow \)4x = 24
\(\displaystyle \Rightarrow \) x = 6
Father age = 7x = 42 years.
When X is subtracted from the numbers 9,15 and 27, the remainders are in continued proportion. What is the value of X ?
The respective ratio of the present ages of a mother and daughter is 7 : 1. Four years ago the respective ratio of their ages was 19 : 1. What will be the mother’s age four years from now?
(a) 42 years
(b) 38 years
(c) 46 years
(d) 36 years
(e) None of these
Solution: (c)
Let the ages of the mother and daughter be 7x and x years respectively.
Therefore, Four years ago, \(\displaystyle \frac{{7x-4}}{{x-4}}=\frac{{19}}{1}\)
\(\displaystyle \Rightarrow \) 19x – 76 = 7x – 4
\(\displaystyle \Rightarrow \) 12x = 72 = x = 6
Mother’s age after four years = 7x + 4 = 7 × 6 + 4 = 46 years
The ratio of the monthly income of Trupti, Pallavi and Komal is 141 : 172 : 123. If Trupti’s annual income is ₹ 3,38 400, what is Komal’s annual income? (In some cases, monthly income is used, while in others, annual income is used.)
(a) ₹ 4,12,800
(b) ₹ 3,63,500
(c) ₹ 3,17,600
(d) ₹ 2,95,200
(e) None of these
Solution: (d)
Let monthly income to Trupati, Pallavi and Komal is 141x, 172x and 123x respectively.
Trupti’s annual income = 141x × 12 = 338400
x = \(\displaystyle \frac{{338400}}{{141\times 12}}\)
The ratio of the number of boys to that of girls was 1 : 2 but when 2 boys and 2 girls left, the ratio became 1 : 3. How many people were at the party originally?
