Question
Alex and Ben entered into a partnership, initially
investing in the ratio of 9:7. After 6 months, Curry joined the partnership with an investment 28.56% less than Ben's. After a few more months, Alex exited, and Dev joined with an investment (100/9)% less than Alex's. After two years, Ben claimed a share of (21/58) of the total profit. What will be the investment time of Dev.Solution
ATQ, Let Alex invests for a months so Alex  :   Ben  :   Curry   :   Dev 9a  :   7 × 24  : 5 × 18  :  8 (24 – a) [168/(450 + a)] = (21/58) 9744 = 9450 + 21a 294 = 21a a = 14 So Alex invests for 14 months and D invests for (24-14) = 10 months
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Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively.
Find the least common multiple of (16/20), (8/10), and (4/5).
The least number which when divided by 9, 12, 15, 18, and 21 leaves the same remainder 7 in each case, is:
The HCF of two numbers is 6 and their LCM is 84. If one of these numbers is 42, then the second number is:
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Find the HCF and LCM of 18 and 30.
The LCM of two numbers is 15 times their HCF. The sum of HCF and LCM of these numbers is 352.If one of the numbers is 110, find the other number.
