Question
Quantity-I: The cost price of an article is Rs. 500. It
is sold at a loss of 20%. Find the selling price. Quantity-II: The cost price of an article is Rs. 800. It is sold at a profit of 25%. Find the selling price. Quantity-III: An article is bought for Rs. 1200 and sold for Rs. 1500. Find the profit percentage. Which of the following pair of symbols will define the relation between Quantity I and Quantity II and between Quantity II and Quantity III respectively? A. = B. > C.Solution
Solution: Quantity I: Selling price = Cost price × (1 - Loss%) Selling price = 500 × (1 - 0.20) = 500 × 0.80 = 400 Quantity II: Selling price = Cost price × (1 + Profit%) Selling price = 800 × (1 + 0.25) = 800 × 1.25 = 1000 Quantity III: Profit = Selling price - Cost price Profit = 1500 - 1200 = 300 Profit percentage = (Profit / Cost price) × 100 Profit percentage = (300 / 1200) × 100 = 25% Comparing Quantity-I, Quantity-II, and Quantity-III: Quantity-I = 400 Quantity-II = 1000 Quantity-III = 25% Now, comparing: Quantity-I < Quantity-II > Quantity-III Therefore, the correct pair of symbols is: C & B Correct option: e
The memory-less property is followed by which of the following continuous distribution:
The square of normal variate with mean 0 and variance 1 follows:
For the random variable X with probability density function f(x) = (x−3)2 /5; x = 3, 4, 5, the variance of X is:
The variation among the observations of each specific class is known as:
If the first, second, and third moment about the origin are 2, 8, and 18 respectively, then third moment about mean is
For frequency distribution presentation , which option is wrong.
For a distribution, mean is 40, median is 40.5 and mode is 41. The distribution is:
From standard pack of 52 cards, 3 cards are drawn at random without replacement. The probability of drawing a king, a queen and a jack in order is
If mean and median of the distribution are 12 and 21, then the distribution
