Question
Seven years ago, the age ratio of 'F' and 'G' was 2:3. In
five years, their ages will be in the ratio 3:4. What is the current age of 'V' who is 2 years younger than 'G'?Solution
ATQ,
Let the age of 'F' and 'G', seven years ago be '2a' and '3a' years, respectively.
So, (2a + 7 + 5) : (3a + 7 + 5) = 3 : 4
Or, 4 × (2a + 12) = 3 × (3a + 12)
Or, 8a + 48 = 9a + 36
Or, a = 12
Required age = 3 × 12 + 7 - 2 = 41 years
A, B and C started a online education website by investing Rs.40,000, Rs.45,000 and Rs.50,000 respectively. Find the share of A’s, out of an annual pr...
- Shyam and Tarun invested Rs. 1800 and Rs. 2700 respectively in a business. After 6 months, Dinesh joined with Rs. ‘x’. If Shyam’s share from a total ...
If the ratio of time periods of investment of A and B is 4:5, profit at the end of the year is Rs.120000 and A’s share in it is Rs.30000, then what is...
Nina and Sita invested Rs.7000 and Rs.5600 respectively in a partnership. Nina invested for 9 months more than Sita. If the profit share of Sita is 30%...
X and Y started a business by investing Rs. 8,000 and Rs. 12,000 respectively. After 6 months, Z joined them with an investment of Rs. 10,000. At the en...
A puts in Rs. (P + 600). After 9 months, B invests Rs. 5P. If the ratio of B’s share to A’s share is 5:6, compute (P − 400).
- Nitesh, Jaydeep and Jayvijay together started a business with initial investments in the ratio 5:7:8, respectively. After one year, Nitesh, Jaydeep and Jay...
Raj invested Rs.'x' and Mohan invested Rs.7000 in a partnership. After 5 months, Raj increased his investment by 50% and after 7 months Mohan decreased ...
'A', 'B' and 'C' started a business together such that 'A' invested a 20% of the total capital invested by 'A', 'B' and 'C' together, 'B' invested 25% o...
- Two friends, R and S, started a venture where R’s capital was Rs. 2,000 more than S’s. R withdrew his investment after 10 months. If the ratio of their...
