Answer: C Let the height of the triangle be 'h' and the base be 'b' Area = bh/2 Decreased height = 6h/10 Increased base = 14b/10 Area = 42/50 *bh Decreased in area = bh/2 (1- 84/100) = bh/2 * 16/100 percentage decrease = bh/2 * 16/100 * 2/bh * 100 = 16%
Q. No. 26:
The number of boys is more than the number of girls by 12% of the total strength of the class. The ratio of the number of boys to that of the girls is
Answer: B Let the number of boys be x and the number of girls be y then, x= y + 12%(x+y) x= y+ 0.l2x +0.12y 0.88x= 1.12y x/y = 112/88 = 14/11
Q. No. 27:
The weight of the empty bottle is 20% of the weight of bottle when filled with some liquid. Some of the liquid has been removed. Then, the bottle along with the remaining liquid, weighed half of the original weight. What fractional part of the liquid has been removed?
Answer: D Let the weight of the filled bottle is 100g, then weight of the empty bottle is 20g Now, 100-x =100/2 x=50. Required ratio = 50/100 =1/2
Q. No. 28:
A shopkeeper marks up his goods to gain 35%. But he allows 10% discount for cash payment. His profit on the cash transaction therefore, in percentage, is
Answer: C Let cost price = 100 Marked price = 135 After discount, selling price = 135 -13.5 = 121.5 % profit = 121.5 -100 = 21.5 %
Q. No. 29:
A sink contains exactly 12L of water. If water is drained from the sink until it holds exactly 6L of water less than the quantity drained away, how many litres of water were drained away?
In a company there are 75% skilled workers and remaining ones are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If number of temporary workers is 126, then what is the number of total workers?
Answer: C Let the total numbers of workers be 100. Number of skilled workers = 75% 0f 100 =75. Number of unskilled workers = 100-75 =25. Number of permanent workers = 80%of75 + 20%of25 =65 Number of temporary workers = 100- 65= 35 The number of temporary workers are 35, total workers =100 Number of total workers when number of temporary workers is 126 = 100/35 *126 => 360