Q1. Amar invested a sum of Rs 2000 in a business with Akbar who invested Rs ‘X’. After 4 months, Anthony joined them with Rs ‘2X’. After another 4 months, Amar withdrew half of his investment while Anthony invested Rs ‘X+1000’ more. At the end of the year, Akbar got Rs 18000 out of total profit of Rs 60000. If Amar & Akbar re-entered into another partnership with Rs ‘X+2000’ & Rs ‘X-1000’ respectively then find profit ratio at end of year.
(a) 3 : 2
(b) 5 : 2
(c) 5 : 4
(d) 4 : 1
(e) None of these
Q4. Time taken by a boat to cover ‘D’ km upstream is 5 hours while the boat covers ‘D+5’ km downstream in 3 hours. The boat takes 12 hours to cover ‘D+10’ km downstream & return ‘2D – 4’ km upstream. Find speed of boat in still water.
(a) 4 kmph
(b) 3.5 kmph
(c) 5 kmph
(d) 3 kmph
(e) 2.5 kmph
Q5. Akshay invested Rs ‘P’ in a scheme offering 20% simple interest for ‘2T’ years. After completion of period, he invested only the sum in another scheme offering compound interest at 10% p.a. for three years if at the end of the period, interest obtained from the scheme is twice the interest obtained from first scheme. Which of the following is absolutely true?
(a) 0.367 < T < 0.44
(b) 0.314 < 2T < 0.45
(c) 0.2 < T < 0.35
(d) 0.4 < 2T < 0.56
(e) 0.68 < 2T < 0.82
Solutions
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