Question
The current average age of 'Akhil', 'Bittu', and 'Chinu'
is 42 years. 'Bittu's' age is 25% greater than 'Akhil's'. Twelve years from now, the age ratio of 'Akhil' to 'Chinu' will be 2:1. Calculate the difference in the current ages of 'Akhil' and 'Bittu'.Solution
ATQ, Let the ages of ‘Akhil’ and ‘Chintu’, 12 years hence from now be 2a years and ‘a’ years, respectively Therefore, present age of ‘Chintu’ = (a – 12) years Present age of ‘Akhil’ = (2a – 12) years Therefore, present age of ‘Bittu’ = 1.25(2a – 12) years According to the question, 1.25(2a – 12) + 2a – 12 + a – 12 = 42 × 3 Or, 5.5a – 39 = 126 Or, 5.5a = 165 Or, a = 30 Therefore, present age of ‘Akhil’ = 2a – 12 = 48 years Present age of ‘Bittu’ = 1.25 × 48 = 60 years Required difference = 60 – 48 = 12 years
‘X’ invested Rs. 5000 in a business. ‘Y’ joined x months later with an investment of Rs. 4000. If at the end of the year, Y’s share in the pro...
‘A’ and ‘B’ started a business by investing Rs. ‘z’ and Rs. ‘z + 150’, respectively. If 6 months later the ratio of profit shares of ‘...
A started a business with an investment of Rs 16,000. After 2 months B joins in with 5/8 of the amount that A invested and A withdraws Rs 4,000. After 2...
- 'X', 'Y' and 'Z' jointly opened a company by investing Rs. 2,400, Rs. 3,600, and Rs. 4,800 respectively. After 4 months, 'Y' withdrew Rs. 600. If the total...
A and B together started a business with initial investment in the ratio of 1:5, respectively. The time-period of investment for A and B is in the ratio...
Rohan and Deepak invested Rs. 10,000 and Rs. 15,000 respectively. After 3 months, Rohan reduced his investment by Rs. 2,000 and Aman joined with Rs. 20,...
Two partners A and B invested Rs. 900 and Rs. ‘m’ respectively in a business. B withdrew after 6 months. If A got Rs. 3600 from a total yearly profi...
A and B started a business by investing Rs.500 and Rs.600 respectively. After 4 months, A increased his investment by Rs.900. Find the ratio of annual ...
X, Y, Z enter into partnership with capital contribution Rs. 50000, 20000 and 30000 respectively X is working partner of get 20% of profit for managing...
A and B together start a business with investment of Rs. 1800 and Rs. (x + 900), respectively. If the profit earned after 5 years is Rs. 7000 and share ...