We read your photo as:

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.

Mathematics

ScanSolve AI Answer

Step-by-step solution

7 steps

Part 6· 2 steps

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.

  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\text{Discount amount} = 0.13 \times \text{Ksh } 8,000 = \text{Ksh } 1,040

    The selling price is the marked price minus the discount.

    SP=Ksh 8,000−Ksh 1,040=Ksh 6,960\text{SP} = \text{Ksh } 8,000 - \text{Ksh } 1,040 = \text{Ksh } 6,960

  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\text{SP} = (100\% + 30\%) \times \text{CP} Ksh 6,960=1.30×CP\text{Ksh } 6,960 = 1.30 \times \text{CP} CP=Ksh 6,9601.30\text{CP} = \frac{\text{Ksh } 6,960}{1.30} CP=Ksh 5,353.846...\text{CP} = \text{Ksh } 5,353.846...

    Rounding to two decimal places:

    CP=Ksh 5,353.85\text{CP} = \text{Ksh } 5,353.85

    The trader paid Ksh 5,353.85 for the suit.

Part 7· 5 steps

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.

  1. Calculate the basic pay.

    Basic Pay=Ksh 20,000\text{Basic Pay} = \text{Ksh } 20,000

  2. Calculate the first commission (3% for sales up to Ksh 200,000).

    Commission 1=0.03×Ksh 200,000=Ksh 6,000\text{Commission 1} = 0.03 \times \text{Ksh } 200,000 = \text{Ksh } 6,000

  3. Calculate the sales amount over Ksh 200,000.

    Sales over Ksh 200,000=Total Sales−Ksh 200,000\text{Sales over Ksh } 200,000 = \text{Total Sales} - \text{Ksh } 200,000 Sales over Ksh 200,000=Ksh 600,000−Ksh 200,000=Ksh 400,000\text{Sales over Ksh } 200,000 = \text{Ksh } 600,000 - \text{Ksh } 200,000 = \text{Ksh } 400,000

  4. Calculate the second commission (4% for sales over Ksh 200,000).

    Commission 2=0.04×Ksh 400,000=Ksh 16,000\text{Commission 2} = 0.04 \times \text{Ksh } 400,000 = \text{Ksh } 16,000

  5. Calculate Evans's total pay.

    Total Pay=Basic Pay+Commission 1+Commission 2\text{Total Pay} = \text{Basic Pay} + \text{Commission 1} + \text{Commission 2} Total Pay=Ksh 20,000+Ksh 6,000+Ksh 16,000\text{Total Pay} = \text{Ksh } 20,000 + \text{Ksh } 6,000 + \text{Ksh } 16,000 Total Pay=Ksh 42,000\text{Total Pay} = \text{Ksh } 42,000

    Evans's total pay for January 2023 is Ksh 42,000.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QA trader sold a dress for Sh 7200, allowing a discount of 10% on the marked price. If the discount…QA tailor sold a suit and a shirt for GH¢14,800, making a 20% profit on the suit and a 10% profit on…QA trader bought a camera at a price that allowed for a 20% profit. He then sold it at a discount of…QCalculate the discount amount and percentage for an item originally priced at N 34,500 and sold for…QAbdi bought a mobile phone at Ksh 12 000. Profit of 15%. What will be the selling price of the…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp