All questions
- A pie diagram shows workers in a town: Agriculture 24°, Electrician 18°, Food 48°, Construction 72°, Hotels 72°, Production 90°, Administration 36°. If total workers are 10,000, find workers in construction, in administration, and % in production. Answer: (1) 2000 (2) 1000 (3) 25% Number of workers in a field = central angle/360^° × total (1) 72/360 × 10000 = 2000 (2) 36/360 × 10000 =... 1
- A pie diagram of annual investments: Immovable property 120°, Shares 60°, Post 30°, Deposit in bank 90°, Mutual fund 60°. If investment in shares is ₹ 2000, find total investment, bank deposit, excess of property over mutual fund, and amount in post. Answer: (1) ₹ 12,000 (2) ₹ 3000 (3) ₹ 2000 (4) ₹ 1000 (1) 60° represents ₹ 2000, so 360° represents 360/60 × 2000 = ₹ 12,000 (2) Bank: 90/36... 1
- Find the correct answer: The persons of O- blood group are 40%. The classification of persons based on blood groups is to be shown by a pie diagram. What should be the measures of angle for the persons of O- blood group? Answer: (D) 144° 40/100 × 360^° = 144^° 1
- Find the correct answer: The expenditure ₹ 45,000 on cement was shown by a sector of central angle of 75° in a pie diagram of construction expenditures. What was the total expenditure of the construction? Answer: (A) ₹ 2,16,000 75° represents ₹ 45,000, so 360° represents 360/75 × 45000 = 216000 1
- Find the correct answer: Cumulative frequencies in a grouped frequency table are useful to find ... (A) Mean (B) Median (C) Mode (D) All of these Answer: (B) Median To find the median we must locate the class containing the N/2 th observation, which is done with the cumulative frequenc... 1
- Write the correct alternative: What is the amount of dividend received per share of face value ₹ 10 and dividend declared is 50%. Answer: (B) ₹ 5 Dividend is on face value: 50% of 10 = ₹ 5 . 1
- Write the correct alternative: The NAV of a unit in mutual fund scheme is ₹ 10.65 then find the amount required to buy 500 such units. Answer: (A) 5325 500 × 10.65 = ₹ 5325 . 1
- Write the correct alternative: Rate of GST on brokerage is ... Answer: (C) 18% Brokerage is a service, and GST on brokerage is charged at 18% (CGST 9% + SGST 9%). 1
- Write the correct alternative: To find the cost of one share at the time of buying the amount of Brokerage and GST is to be ... the MV of share. Answer: (A) added to While buying, the buyer pays MV plus brokerage plus GST on brokerage. (While selling they are subtracted.) 1
- Find the purchase price of a share of FV ₹ 100 if it is at premium of ₹ 30. The brokerage rate is 0.3%. Answer: ₹ 130.39 MV = 100 + 30 = ₹ 130 Brokerage = 0.3% of 130 = ₹ 0.39 Purchase price = 130 + 0.39 = ₹ 130.39 (No GST rate is given in the... 1
- Prashant bought 50 shares of FV ₹ 100, having MV ₹ 180. Company gave 40% dividend on the shares. Find the rate of return on investment. Answer: Rate of return ≈ 22.22% Investment = 50 × 180 = ₹ 9000 Dividend = 50 × (40% of 100) = 50 × 40 = ₹ 2000 Rate of return = 2000/9000 ×... 1
- Find the amount received when 300 shares of FV ₹ 100, were sold at a discount of ₹ 30. Answer: ₹ 21,000 MV = 100 - 30 = ₹ 70 Amount = 300 × 70 = ₹ 21,000 1
- Find the number of shares received when ₹ 60,000 was invested in the shares of FV ₹ 100 and MV ₹ 120. Answer: 500 shares Shares are bought at MV. No. of shares = 60000/120 = 500 1
- Smt. Mita Agrawal invested ₹ 10,200 when MV of the share is ₹ 100. She sold 60 shares when the MV was ₹ 125 and sold remaining shares when the MV was ₹ 90. She paid 0.1% brokerage for each trading. Find whether she made profit or loss? and how much? Answer: Profit of ₹ 1058.52 Number of shares = 10200 ÷ 100 = 102 . Brokerage on purchase = 0.1% of 10200 = ₹ 10.20 ; total cost = ₹ 10,210.2... 1
- Market value of shares and dividend declared by two companies: Face Value ₹ 100 for both. Company A - ₹ 132, 12%; Company B - ₹ 144, 16%. Investment in which company is more profitable? Answer: Company B is more profitable Company A: dividend = ₹ 12 per share on ₹ 132. 12/132 × 100 ≈ 9.09% Company B: dividend = ₹ 16 per shar... 1
- Shri. Aditya Sanghavi invested ₹ 50,118 in shares of FV ₹ 100, when the market value is ₹ 50. Rate of brokerage is 0.2% and Rate of GST on brokerage is 18%, then How many shares were purchased for ₹ 50,118? Answer: 1000 shares Brokerage per share = 0.2% of 50 = ₹ 0.10 GST on it = 18% of 0.10 = ₹ 0.018 Cost of one share = 50 + 0.10 + 0.018 = ₹ 50... 1
- Shri. Batliwala sold shares of ₹ 30,350 and purchased shares of ₹ 69,650 in a day. He paid brokerage at the rate of 0.1% on sale and purchase. 18% GST was charged on brokerage. Find his total expenditure on brokerage and tax. Answer: ₹ 118 Total value traded = 30350 + 69650 = ₹ 1,00,000 Brokerage = 0.1% of 100000 = ₹ 100 GST = 18% of 100 = ₹ 18 Total = 100 + 18 =... 1
- Smt. Aruna Thakkar purchased 100 shares of FV 100 when the MV is ₹ 1200. She paid brokerage 0.3% and 18% GST on brokerage. Find net amount for 100 shares, brokerage, GST on brokerage and total amount paid. Answer: (1) ₹ 1,20,000 (2) ₹ 360 (3) ₹ 64.80 (4) ₹ 1,20,424.80 (1) 100 × 1200 = ₹ 1,20,000 (2) Brokerage = 0.3% of 120000 = ₹ 360 (3) GST =... 1
- Smt. Anagha Doshi purchased 22 shares of FV ₹ 100 for MV ₹ 660. After taking 20% dividend, she sold all shares at MV ₹ 650. She paid 0.1% brokerage for each trading. Find the percent of profit or loss (nearest integer). Also find the sum invested. Answer: Sum invested = ₹ 14,534.52; profit of about 1% Purchase: 22 × 660 = ₹ 14,520 ; brokerage = 0.1% = ₹ 14.52 . Sum invested = 14520 + 1... 1
- How many possibilities are there? Vanita plans to visit one of 8 sites in Maharashtra in her summer vacation. Answer: 8 possibilities There are 8 sites in the list and she can choose any one of them, so there are 8 possibilities. 1
- How many possibilities are there in the following? Any day of a week is to be selected randomly. Answer: 7 possibilities A week has 7 days (Monday to Sunday), so there are 7 possibilities. 1
- How many possibilities are there in the following? Select one card from the pack of 52 cards. Answer: 52 possibilities Any one of the 52 cards can be selected, so there are 52 possibilities. 1
- How many possibilities are there in the following? One number from 10 to 20 is written on each card. Select one card randomly. Answer: 11 possibilities The numbers 10, 11, 12, ..., 20 are written on the cards. Their count is 20 - 10 + 1 = 11 , so there are 11 possibi... 1
- For the following experiment write sample space 'S' and number of sample points n(S): One coin and one die are thrown simultaneously. Answer: S = H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6, n(S) = 12 The coin can show H or T (2 ways) and the die can show 1 to 6 (6 ways)... 1