Home
Class 6
MATHS
By selling a steel almirah for Rs. 3906,...

By selling a steel almirah for Rs. 3906, a manufacturer suffers a loss of Rs. 294. Find his loss percentage.

Text Solution

AI Generated Solution

The correct Answer is:
To find the loss percentage when a steel almirah is sold for Rs. 3906 with a loss of Rs. 294, we can follow these steps: ### Step 1: Identify the Selling Price (SP) and Loss - Selling Price (SP) = Rs. 3906 - Loss = Rs. 294 ### Step 2: Calculate the Cost Price (CP) To find the Cost Price (CP), we can use the formula: \[ \text{Loss} = \text{CP} - \text{SP} \] Rearranging this gives us: \[ \text{CP} = \text{SP} + \text{Loss} \] Substituting the values: \[ \text{CP} = 3906 + 294 \] \[ \text{CP} = 4200 \] ### Step 3: Calculate the Loss Percentage The formula for Loss Percentage is: \[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100 \] Substituting the values: \[ \text{Loss Percentage} = \left( \frac{294}{4200} \right) \times 100 \] ### Step 4: Simplify the Calculation First, we can simplify the fraction: \[ \frac{294}{4200} = \frac{294 \div 294}{4200 \div 294} = \frac{1}{14.2857} \approx 0.07 \] Now, multiplying by 100: \[ \text{Loss Percentage} \approx 0.07 \times 100 \approx 7 \] ### Final Answer The loss percentage is approximately **7%**. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

By selling a chair for Rs. 1410 a carpenter suffers a loss of Rs. 90. Find his loss per cent.

By selling a cow for Rs. 14250, a farmer suffers a loss of Rs. 750. Find his loss per cent.

By seling a computer at Rs. 16920, a dealer suffers a loss of Rs. 1080. Find his loss percentage.

By selling a fan for Rs. 710, a trader suffers a loss of Rs. 40. Find the cost price of the fan. At what price this fan should be sold in order to gain 10%?

By selling a refrigerator for Rs. 23520, a dealer suffers a loss of 4%. What is the cost price of the refrigerator? At what price should he sell it to gain 8%?

By selling a fan for Rs 720. a trader incurs a loss of 20% . Find the loss amount.

A dealer buys a motor cycle for Rs. 35500 and sells it for Rs. 33370. Find his loss and loss percentage.

Jack bought a bicycle for Rs. 1200 ad sold it for Rs. 104. Find his loss and loss percentage.

A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.

A fruit-seller buys oranges at the rate of 10 for Rs. 75 and sells them at 8 for Rs. 70. Find his gain or loss per cent.