Question
In four years, the age ratio of 'X' and 'Y' will be
10:13, respectively. The current average age of 'Y' and 'Z' is 54 years, and the present average age of 'X' and 'Z' is 48 years. Calculate the current age of 'X'.Solution
ATQ, Let ages of ‘X’ and ‘Y’, 4 years hence from now be ‘10a’ years and ‘13a’ years, respectively. And, present age of ‘Z’ be ‘b’ years. So, 13a + b – 4 = 54 × 2 = 108 And, 10a + b – 4 = 48 × 2 = 96 So, 3a = 108 – 96 = 12 Or, a = 4 Present age of ‘X’ = 10 × 4 – 4 = 36 years
Three people – R, S and T – began a partnership. R invested 35% more than T, and S invested 65% more than T. If the total yearly profit is Rs. 28000...
'A' and 'B' form a partnership with an initial investment of Rs. 2400 and Rs. 8a. After 6 months, 'A' takes out Rs. 400 from his original investment, an...
Two individuals, 'P' and 'Q', started a business with initial investments of Rs. 5400 and Rs. 6200, respectively. After six months, 'P' increased his in...
Neha and Priya launched a venture by putting in Rs. 9000 and Rs. 7000, respectively. After 10 months, Neha reduced her investment by 20%, and Priya rais...
P started a business with an investment of Rs.12000, after 8 months Q joined him with Rs.15000 and after another 8 months R joined them with Rs. 20000. ...
A, B and C hired a taxi for Rs. 740 and used it for 8, 9, 20 hours respectively. Hiring charges paid by B are:
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...
Kamal invested Rs. T and Rohan invested Rs. (T + 30) for 27 months and 18 months respectively. Their profit ratio is 9 : 8. Find Rohan’s investment.
‘A’, ‘B’ and ‘C’ started a business by investing Rs. 3,000, Rs. 3,600 and Rs. 2,400, respectively. After 6 months, ‘B’ decreased his inv...
‘A’, ‘B’ and ‘C’ entered into a partnership by making investments in the ratio 5:3:9, respectively. At end of the year, if the difference be...
Relevant for Exams:
