We read your photo as:

A shopkeeper buys 80 kg of good quality mangoes and 40 kg of medium quality mangoes. He sells all the mangoes at a common selling price, which is 10% less than the price at which he bought the good on

Mathematics

ScanSolve AI Answer

Step-by-step solution

6 steps
  1. Define the prices of mangoes.

    Let the price of good quality mangoes be PP per kg.
    The price of medium quality mangoes is half that of good mangoes, so it is P2\frac{P}{2} per kg.

  2. Calculate the total cost price (CP).

    The shopkeeper buys 80 kg of good mangoes and 40 kg of medium quality mangoes.
    Cost of good mangoes =80 kg×P/kg=80P= 80 \text{ kg} \times P \text{/kg} = 80P.
    Cost of medium quality mangoes =40 kg×P2/kg=20P= 40 \text{ kg} \times \frac{P}{2} \text{/kg} = 20P.
    Total Cost Price (CP) =80P+20P=100P= 80P + 20P = 100P.

  3. Calculate the selling price (SP) per kg.

    The common selling price for all mangoes is 10% less than the price at which he bought the good ones (PP).
    Selling price per kg =P−10% of P=P−0.10P=0.90P= P - 10\% \text{ of } P = P - 0.10P = 0.90P.

  4. Calculate the total selling price (SP).

    The total quantity of mangoes sold is 80 kg+40 kg=120 kg80 \text{ kg} + 40 \text{ kg} = 120 \text{ kg}.
    Total Selling Price (SP) =120 kg×0.90P/kg=108P= 120 \text{ kg} \times 0.90P \text{/kg} = 108P.

  5. Calculate the overall profit.

    Profit =Total SP−Total CP= \text{Total SP} - \text{Total CP}
    Profit =108P−100P=8P= 108P - 100P = 8P.

  6. Calculate the overall profit percentage.

    Profit percentage =ProfitTotal CP×100%= \frac{\text{Profit}}{\text{Total CP}} \times 100\%
    Profit percentage =8P100P×100%= \frac{8P}{100P} \times 100\%
    Profit percentage =8100×100%=8%= \frac{8}{100} \times 100\% = 8\%.

    The overall profit is 8%.

    The final answer is B) 8%\boxed{\text{B) 8\%}}.

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
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