1. If (a+b):(b+c):(c+a) = 5:6:9 and a+b+c=10, what is the value of c? Answer: 5 Solution: Let a+b=5x, then b+c=6x and c+a=9x, Adding 2(a+b+c) = 20x, As a+b+c=10, 20=20x and so x=1. Now as a+b=5x=5, c=(a+b+c)-(b+c) = 10-5 = 5 2. A sum triples in 15 years at simple interest. Find the rate of interest per annum. Answer: 13.33% per annum Solution: Let amount be x. When tripled it is 3x. x*15*r/100 = 2x, r=200/15 = 13.33% 3. Mr. Manish invested Rs. 25,000 in two fixed deposits X and Y offering compound interest at 6% per annum and 8% per annum respectively. If the total amount of interest accrued in two years through both fixed deposits is Rs. 3518, the amount invested in Scheme X is Answer: Rs.15000 Solution: Let amount A be invested in scheme X and 25000-A in scheme Y. A*(1 + 6/100)^2 + (25000-A) * (1 + 8/100)^2 = 25000+3518, 1.1236A + (25000-A)*1.1664 = 28518 Solving A = 15000 4. 3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men...
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