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A person sold a stove for Rs.423 and incurred a loss of 6%. At what price would it be sold so as to earn a profit of 8%?

Mathematics

ScanSolve AI Answer

Answer

D

Step-by-step solution

8 steps

: Stove Price

  1. Calculate the Cost Price (CP) of the stove.

    The stove was sold for Rs.423 at a loss of 6%. This means Rs.423 represents 100%−6%=94%100\% - 6\% = 94\% of the Cost Price.

    CP=Selling Price1−Loss Percentage=4231−0.06=4230.94=450\text{CP} = \frac{\text{Selling Price}}{1 - \text{Loss Percentage}} = \frac{423}{1 - 0.06} = \frac{423}{0.94} = 450

    The Cost Price of the stove is Rs.450.

  2. Calculate the new Selling Price (SP) to earn an 8% profit.

    To earn an 8% profit, the new selling price should be 100%+8%=108%100\% + 8\% = 108\% of the Cost Price.

    New SP=CP×(1+Profit Percentage)=450×(1+0.08)=450×1.08=486\text{New SP} = \text{CP} \times (1 + \text{Profit Percentage}) = 450 \times (1 + 0.08) = 450 \times 1.08 = 486

    The stove should be sold for Rs.486 to earn a profit of 8%.

    The correct option is d).

    Rs.486\boxed{\text{Rs.486}}

    : HRA Calculation

  3. Identify the basic pay and HRA percentage.

    The employee's pay is Rs.50,000.
    The HRA (House Rent Allowance) at the new station is 27% of the pay.

  4. Calculate the HRA.

    HRA=Pay×HRA Percentage=50000×0.27\text{HRA} = \text{Pay} \times \text{HRA Percentage} = 50000 \times 0.27 HRA=13500\text{HRA} = 13500

    The HRA at the new station is Rs.13,500.

    The correct option is c).

    Rs.13500\boxed{\text{Rs.13500}}

    : Total Amount in Bag

  5. Calculate the total value from Rs.500 notes.

    There are 10 notes of Rs.500.

    Value of Rs.500 notes=10×500=5000\text{Value of Rs.500 notes} = 10 \times 500 = 5000

  6. Calculate the total value from Rs.100 notes.

    There are 20 notes of Rs.100.

    Value of Rs.100 notes=20×100=2000\text{Value of Rs.100 notes} = 20 \times 100 = 2000

  7. Calculate the total value from Rs.20 notes.

    There are 50 notes of Rs.20.

    Value of Rs.20 notes=50×20=1000\text{Value of Rs.20 notes} = 50 \times 20 = 1000

  8. Calculate the total amount in the bag.

    Total Amount=5000+2000+1000=8000\text{Total Amount} = 5000 + 2000 + 1000 = 8000

    The total amount available in the bag is Rs.8,000.

    The correct option is c).

    Rs.8000\boxed{\text{Rs.8000}}
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