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A retailer buys an article from a wholesaler for 480 Taka and sells it to a customer for 576 Taka. The retailer makes a profit of 20%. The wholesaler also makes a profit of 20%. What was the cost pric

Business/Management

ScanSolve AI Answer

Step-by-step solution

12 steps
  1. Calculate the retailer's cost price (RCP).

    The retail selling price (RSP) is 576 Taka, and the retailer makes a 20% profit.
    Let the retailer's cost price be CRC_R.

    CR+0.20CR=576C_R + 0.20 C_R = 576 1.20CR=5761.20 C_R = 576 CR=5761.20C_R = \frac{576}{1.20} CR=480 TakaC_R = 480 \text{ Taka}

    The retailer's cost price is the wholesaler's selling price (WSP). So, WSP = 480 Taka.

  2. Calculate the wholesaler's cost price (WCP).

    The wholesaler's selling price (WSP) is 480 Taka, and the wholesaler makes a 20% profit.
    Let the wholesaler's cost price be CWC_W.

    CW+0.20CW=480C_W + 0.20 C_W = 480 1.20CW=4801.20 C_W = 480 CW=4801.20C_W = \frac{480}{1.20} CW=400 TakaC_W = 400 \text{ Taka}

    The cost price for the wholesaler is 400 Taka.

    400 Taka\boxed{\text{400 Taka}}
  3. Calculate the cost price (CP) of the lentils.

    The shopkeeper sold the lentils for 2075 Taka and incurred a 5% loss.
    Let the cost price be CC.

    C−0.05C=2075C - 0.05 C = 2075 0.95C=20750.95 C = 2075 C=20750.95C = \frac{2075}{0.95} C=2184.2105 Taka (approximately)C = 2184.2105 \text{ Taka (approximately)}
  4. Calculate the selling price (SP) required to make a 5% profit.

    To make a 5% profit, the selling price should be C+0.05C=1.05CC + 0.05 C = 1.05 C.

    SP=1.05×2184.2105SP = 1.05 \times 2184.2105 SP=2293.421025 TakaSP = 2293.421025 \text{ Taka}

    Rounding to two decimal places:

    SP≈2293.42 TakaSP \approx 2293.42 \text{ Taka}

    The shopkeeper should sell the lentils for 2293.42 Taka to make a 5% profit.

    2293.42 Taka\boxed{\text{2293.42 Taka}}
  5. Determine the total cost price (CP) for an equal number of bananas from both rates.

    Let's assume the shopkeeper bought 30 bananas at each rate (LCM of 10 and 15).
    Cost of 30 bananas at 10 for 30 Taka:
    Since 10 bananas cost 30 Taka, 30 bananas cost 3×30=903 \times 30 = 90 Taka.
    Cost of 30 bananas at 15 for 30 Taka:
    Since 15 bananas cost 30 Taka, 30 bananas cost 2×30=602 \times 30 = 60 Taka.
    Total bananas bought = 30+30=6030 + 30 = 60 bananas.
    Total cost price (CP) = 90+60=15090 + 60 = 150 Taka.

  6. Determine the total selling price (SP) for all bananas.

    All 60 bananas are sold at a rate of 12 for 30 Taka.
    Since 12 bananas sell for 30 Taka, 60 bananas (which is 5×125 \times 12) will sell for 5×30=1505 \times 30 = 150 Taka.
    Total selling price (SP) = 150 Taka.

  7. Calculate the percentage profit or loss.

    Profit/Loss = SP - CP
    Profit/Loss = 150−150=0150 - 150 = 0 Taka.
    Since the profit/loss is 0, there is no profit or loss.

    There will be no profit or loss.

    \boxed{\text{0% profit or loss}}
  8. Identify the given values.

    Principal (PP) = 2000 Taka
    Time (TT) = 5 years
    Annual interest rate (RR) = 10.50% (assuming percentage, as "10.50 Taka" for a rate is not standard)

  9. Apply the simple interest formula.

    The formula for simple interest (II) is:

    I=P×R×T100I = \frac{P \times R \times T}{100}

    Substitute the given values:

    I=2000×10.50×5100I = \frac{2000 \times 10.50 \times 5}{100} I=105000100I = \frac{105000}{100} I=1050 TakaI = 1050 \text{ Taka}

    The interest will be 1050 Taka.

    1050 Taka\boxed{\text{1050 Taka}}
  10. Calculate the interest with the initial rate (10%).

    Principal (PP) = 3000 Taka
    Time (TT) = 3 years
    Initial rate (R1R_1) = 10%

    I1=P×R1×T100I_1 = \frac{P \times R_1 \times T}{100} I1=3000×10×3100I_1 = \frac{3000 \times 10 \times 3}{100} I1=90000100I_1 = \frac{90000}{100} I1=900 TakaI_1 = 900 \text{ Taka}
  11. Calculate the interest with the decreased rate (8%).

    Principal (PP) = 3000 Taka
    Time (TT) = 3 years
    Decreased rate (R2R_2) = 8%

    I2=P×R2×T100I_2 = \frac{P \times R_2 \times T}{100} I2=3000×8×3100I_2 = \frac{3000 \times 8 \times 3}{100} I2=72000100I_2 = \frac{72000}{100} I2=720 TakaI_2 = 720 \text{ Taka}
  12. Calculate the difference in interest.

    Difference = I1−I2I_1 - I_2
    Difference = 900−720900 - 720
    Difference = 180 Taka180 \text{ Taka}

    The interest will be 180 Taka less.

    180 Taka\boxed{\text{180 Taka}}
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