Rohan bought the following eatables for his friends: S. No. Item Price Quantity Rate of GST 1 Laddu ₹500 per kg 2 kg 5% 2 Pastries ₹100 per piece 12 pieces 18% Calculate: (a) the total GST paid. (b) the total bill amount including GST.

Refer to the bill below. A customer paid ₹2,000, rounded to the nearest ₹10, to clear it. Note: A 5% discount applies to an article when 10 or more units are purchased. Article Marked price Quantity GST A ₹190 6 12% B ₹50 12 18% Check whether the amount paid is correct. Justify your answer with working.

The cost price of a TV set is ₹ 20,000. The shopkeeper marked it for ₹ 24,000. He sells it to a customer at a discount of 10% on the marked price. If the sale is intra-state and the rate of GST is 12%, find the: (a) discounted price of the TV set. (b) amount paid by the customer to clear the bill.

The printed price of an article is ₹3,080. If the rate of GST is 10%, then the GST charged is: (a) ₹154 (b) ₹308 (c) ₹30.80 (d) ₹15.40

The marked price of a refrigerator is ₹ 12,000 and GST paid by the customer is ₹ 2,160. The rate of GST is: (a) 5% (b) 12% (c) 18% (d) 28%

The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the article including GST is: (a) ₹55 (b) ₹110 (c) ₹1,430 (d) ₹1,485

Mrs. Arora bought the following articles from a departmental store: S.No. Item Price Rate of GST Discount 1 Hair oil ₹1200 18% ₹100 2 Cashew nuts ₹600 12% — Find: (a) the total GST paid (b) the total bill amount including GST.

A life insurance agent found the following distribution of ages of 100 policy holders: Age (years) Frequency Cumulative frequency 20–25 2 2 25–30 4 6 30–35 12 18 35–40 20 38 40–45 28 66 45–50 22 88 50–55 8 96 55–60 4 100 On a graph sheet, draw an ogive using the given data. Take 2 cm = 5 years along one axis and 2 cm = 10 policy holders along the other axis. Use your graph to find: (a) the median age. (b) the number of policy holders whose age is above 52 years.

The angles of elevation of the top of a 100 m high tree from two points A and B on opposite sides of the tree are 52° and 45° respectively. Find the distance AB, to the nearest metre.

The given histogram represents the number of plants of different heights grown on a school campus. Study the graph carefully and answer the following questions: (a) Make a frequency table with respect to the class boundaries and their corresponding frequencies. (b) State the modal class. (c) Identify and write the mode of the distribution. (d) Find the number of plants whose height is between 80 cm and 90 cm.

Solve the following quadratic equation for x and give your answers correct to three significant figures: 2x² − 10x + 5 = 0

The letters A, D, M, N, O, S, U and Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter: (a) of the word MONDAY? (b) which does not appear in MONDAY? (c) which appears both in SUNDAY and MONDAY?