Question
Eight years ago, the ratio of the ages of Ram and Shyam
was 5:6, respectively. Seven years hence, the ratio of the ages of Prem and Shyam will be 3:4, respectively. If Prem is 3 years younger than Ram, find the age of Ram, 'b' years hence from now, where 'b' is the second smallest two-digit prime number.Solution
ATQ Let the ages of Ram and Shyam 8 years ago be '5y' years and '6y' years, respectively. So, age of Prem 8 years ago = (5y - 3) years. ATQ, 
4 × (5y + 12) = 3 × (6y + 15) 20y + 48 = 18y + 45 20y - 18y = 45 - 48 y = 3 Since, 13 is the second smallest two-digit prime number. So, 'b' = 13 Therefore, age of Ram, 13 years hence = 5y + 8 + 13 = 5 × 3 + 21 = 36 years
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...
Relevant for Exams:
