Question
Present ages of 'X' and 'Y' are in ratio 7:8,
respectively. If twelve years hence from now, age of 'X' will be 15% less than that of 'Y', then find the ratio of present ages of 'X' and 'Z' given that 'Z' is 9 years older than 'X'.Solution
ATQ, Let the present ages of 'X' and 'Y' be '7x' years and '8x' years, respectively. So, (7x + 12) = (8x + 12) X 0.85 Or, 7x + 12 = 6.8x + 10.2 Or, 0.2x = 1.8 So, x = 9 So, present age of 'X' = 7x = 7 X 9 = 63 years And present age of 'Z' = 63 + 9 = 72 years So, required ratio = 63:72 = 7:8
Amit and Sara started a business with the investments of Rs. 20,000 and Rs. 30,000 respectively. After one year, Amit increases his investment by Rs. 5,...
P and Q entered into partnership with Rs. 8000 and Rs. 12000 respectively. After 4 months P withdrew `1/4` of his stock but after 4 months more he put b...
Two firms, X and Y, began a joint venture by investing in a ratio of 9:16. After six months, Firm Y withdrew its entire investment. At the end of the ye...
M and N started a business by investing Rs.4000 and Rs.5000 respectively. After 7 months, M and N increased their investments by 30% and Rs.2400 respect...
‘A’ and ‘B’ invested Rs. 4800 and Rs. 3600, respectively in a business, together. After 6 months, ‘A’ withdrew 25% of his initial 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 invest in a partnership in the ratio 8:5:10 and investment of A is Rs.200 less than investment of C. Partner B invests for 1/5th and A and C ...
‘A’ invested Rs. 3500 in a business. ‘B’ joined x months later with an investment of Rs. 2500. If at the end of the year, B’s share in the pro...
‘C’ and ‘D’ entered into a business by investing Rs. ‘y’ and Rs. ‘y + 300’, respectively. After 10 months ‘C’ invested Rs. 400 more ...
P and Q started a business by investing Rs.5600 and Rs.4000 respectively. After 6 months, Q increased his investment by a certain percentage such that a...
