Discussion
T1, T2 and T3 are three students. T1 got 45 percent less marks than T2 and 21 percent more marks than T3. If T2 got 605 marks, then what are the marks got by T3?
Answer: A
T2 got 605 marks. T1 got 45 percent less than T2, so T1 has 55 percent of 605, which is 332.75 marks. T1 also got 21 percent more than T3, which means T1 = 1.21 x T3, so T3 = 332.75 / 1.21 = 275 marks. Check: 21 percent more than 275 is 332.75, and 332.75 is 55 percent of 605. So T3 got 275 marks, option (A). The other values, 255, 285 and 265, would not give T1 = 332.75 when increased by 21 percent. In per cent questions of this kind it is easiest to work with the decimal factors 0.55 and 1.21, as above, and to check the result by applying them back.
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