A suit whose marked price is Ksh 8,000 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 30%, find how much the trader paid for the suit.

Question

Asked on April 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-25T02:04:38.646Z

Another one Mohaa — let's solve it. Question 6: A suit whose marked price is Ksh 8,000 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 30%, find how much the trader paid for the suit. Step 1: Calculate the selling price (SP) of the suit after the discount. The discount is 13% of the marked price. Discount amount = 0.13 × Ksh 8,000 = Ksh 1,040 The selling price is the marked price minus the discount. SP = Ksh 8,000 - Ksh 1,040 = Ksh 6,960 Step 2: Use the profit percentage to find the cost price (CP). The trader makes a profit of 30%. This means the selling price is 130% of the cost price. Let CP be the cost price. SP = (100\% + 30\%) × CP Ksh 6,960 = 1.30 × CP CP = Ksh 6,9601.30 CP = Ksh 5,353.846... Rounding to two decimal places: CP = Ksh 5,353.85 The trader paid Ksh 5,353.85 for the suit. Question 7: Evans is a sales person with Ajab Millers. He is paid on a monthly basis as per the agreement: basic pay of Ksh 20,000, a commission of 3% for goods sold up to a maximum of Ksh 200,000 and commission of 4% for goods sold over Ksh 200,000 in that month. In January 2023, he sold goods worth Ksh 600,000. Calculate his total pay that month. Step 1: Calculate the basic pay. Basic Pay = Ksh 20,000 Step 2: Calculate the first commission (3% for sales up to Ksh 200,000). Commission 1 = 0.03 × Ksh 200,000 = Ksh 6,000 Step 3: Calculate the sales amount over Ksh 200,000. Sales over Ksh 200,000 = Total Sales - Ksh 200,000 Sales over Ksh 200,000 = Ksh 600,000 - Ksh 200,000 = Ksh 400,000 Step 4: Calculate the second commission (4% for sales over Ksh 200,000). Commission 2 = 0.04 × Ksh 400,000 = Ksh 16,000 Step 5: Calculate Evans's total pay. Total Pay = Basic Pay + Commission 1 + Commission 2 Total Pay = Ksh 20,000 + Ksh 6,000 + Ksh 16,000 Total Pay = Ksh 42,000 Evans's total pay for January 2023 is Ksh 42,000. Send me the next one 📸

Accepted Answer · 2026-04-25T02:04:38.646Z

Another one Mohaa — let's solve it. Question 6: A suit whose marked price is Ksh 8,000 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 30%, find how much the trader paid for the suit. Step 1: Calculate the selling price (SP) of the suit after the discount. The discount is 13% of the marked price. Discount amount = 0.13 × Ksh 8,000 = Ksh 1,040 The selling price is the marked price minus the discount. SP = Ksh 8,000 - Ksh 1,040 = Ksh 6,960 Step 2: Use the profit percentage to find the cost price (CP). The trader makes a profit of 30%. This means the selling price is 130% of the cost price. Let CP be the cost price. SP = (100\% + 30\%) × CP Ksh 6,960 = 1.30 × CP CP = Ksh 6,9601.30 CP = Ksh 5,353.846... Rounding to two decimal places: CP = Ksh 5,353.85 The trader paid Ksh 5,353.85 for the suit. Question 7: Evans is a sales person with Ajab Millers. He is paid on a monthly basis as per the agreement: basic pay of Ksh 20,000, a commission of 3% for goods sold up to a maximum of Ksh 200,000 and commission of 4% for goods sold over Ksh 200,000 in that month. In January 2023, he sold goods worth Ksh 600,000. Calculate his total pay that month. Step 1: Calculate the basic pay. Basic Pay = Ksh 20,000 Step 2: Calculate the first commission (3% for sales up to Ksh 200,000). Commission 1 = 0.03 × Ksh 200,000 = Ksh 6,000 Step 3: Calculate the sales amount over Ksh 200,000. Sales over Ksh 200,000 = Total Sales - Ksh 200,000 Sales over Ksh 200,000 = Ksh 600,000 - Ksh 200,000 = Ksh 400,000 Step 4: Calculate the second commission (4% for sales over Ksh 200,000). Commission 2 = 0.04 × Ksh 400,000 = Ksh 16,000 Step 5: Calculate Evans's total pay. Total Pay = Basic Pay + Commission 1 + Commission 2 Total Pay = Ksh 20,000 + Ksh 6,000 + Ksh 16,000 Total Pay = Ksh 42,000 Evans's total pay for January 2023 is Ksh 42,000. Send me the next one 📸

A suit whose marked price is Ksh 8,000 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 30%, find how much the trader paid for the suit.

Need help with your own homework?

More Mathematics Questions

A suit whose marked price is Ksh 8,000 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 30%, find how much the trader paid for the suit.

Need help with your own homework?

More Mathematics Questions