Q1. A certain shop allows cashing of cheques, but requires 3% fee for cashing of cheque and 15% worth of shopping. If the cheque is worth K875, (i)-(iv)-SMarks)

Q1: A certain shop allows cashing of cheques, but requires 5% fee for cashing of cheque and 15% worth of shopping. If the cheque is worth K875, a) How much is the shopping worth? Step 1: Calculate 15% of the cheque value. Shopping worth = 15\% × K875 = (15)/(100) × 875 = K131.25 The shopping is worth K131.25. b) How much fee is charged for cashing? Step 1: Calculate 5% of the cheque value. Cashing fee = 5\% × K875 = (5)/(100) × 875 = K43.75 The fee charged for cashing is K43.75. c) What is the percentage of cash back? Step 1: Calculate the total percentage deducted (shopping + fee). Total percentage deducted = 15\% + 5\% = 20\% Step 2: Subtract the total percentage deducted from 100%. Percentage of cash back = 100\% - 20\% = 80\% The percentage of cash back is 80%. d) How much is the cash back? Step 1: Calculate the cash back amount by subtracting the shopping worth and cashing fee from the cheque value. Cash back amount = K875 - K131.25 - K43.75 = K700.00 The cash back is K700.00. e) What was the discounted price if 15% shopping was on discount? Step 1: Assume "15% shopping" refers to the K131.25 worth of shopping from part a). Calculate the discounted price if this amount is discounted by 15%. Discounted price = K131.25 × (1 - 0.15) = K131.25 × 0.85 = K111.5625 Rounding to two decimal places. The discounted price is K111.56. Q2: Ben is a craftsman who sells his carvings at the craft market. He sells a carving at discount of 25% that is worth K245, and sells 1 carving in a week. a) What is the discounted price? Step 1: Calculate the discount amount. Discount amount = 25\% × K245 = (25)/(100) × 245 = K61.25 Step 2: Subtract the discount from the original price. Discounted price = K245 - K61.25 = K183.75 The discounted price is K183.75. Q3: Jeff makes a commission from selling an item worth K5400.00 and his commission rate is 15%. He also earns K5 per hour and works 40 hour in a week at his main job. a) What is his commission? Step 1: Calculate 15% of the item's worth. Commission = 15\% × K5400 = (15)/(100) × 5400 = K810.00 His commission is K810.00. b) What is his pay from main job? Step 1: Multiply his hourly rate by the number of hours worked in a week. Main job pay = K5/hour × 40 hours = K200.00 His pay from the main job is K200.00. c) What is his total earnings in a week? Step 1: Add his commission and his main job pay. Total weekly earnings = Commission + Main job pay = K810.00 + K200.00 = K1010.00 His total earnings in a week are K1010.00. d) If he sells 2 items every week, what is his fortnightly pay? Step 1: Calculate his weekly commission if he sells 2 items. Weekly commission (2 items) = 2 × K810.00 = K1620.00 Step 2: Calculate his total weekly earnings with 2 items sold. Total weekly earnings (2 items) = K1620.00 + K200.00 = K1820.00 Step 3: Calculate his fortnightly pay (2 weeks of total earnings). Fortnightly pay = 2 × K1820.00 = K3640.00 His fortnightly pay is K3640.00. Q6: How much would be earn in a week if he sells 10 carvings at 25% discount? Step 1: Determine the discounted price of one carving (from Q2a). Discounted price per carving = K183.75 Step 2: Multiply the discounted price by the number of carvings sold. Weekly earnings = 10 × K183.75 = K1837.50 He would earn K1837.50 in a week. That's 2 down. 3 left today — send the next one.