it costs rs 6500 to make a table.if it is to be sold for a profit of 40% after giving a discount of 13 1/3 %.find market price?
13 1/3% = (40/3)%/100% = 40/300 = 2/15 = 0.23333.
6500(1-2/15) = 6500(15/15-2/15) = $5633.33 After discount.
P = 1.4 * 5633.33 = $7886.67 = Market price.
Correction: 2/15 - 0.13333.
To find the market price of the table, we'll need to follow these steps:
1. Calculate the selling price after giving a discount of 13 1/3%:
- Discount = 13 1/3% = (13 + 1/3)% = 13 1/3/100 = 40/3%
- Selling price after discount = Cost price - Discount amount
- Selling price after discount = Rs 6500 - (40/3)% of Rs 6500
- Selling price after discount = Rs 6500 - (40/3)/100 * Rs 6500
- Selling price after discount = Rs 6500 - (40/300) * Rs 6500
- Selling price after discount = Rs 6500 - (8/60) * Rs 6500
- Selling price after discount = Rs 6500 - (8/60) * Rs 6500
- Selling price after discount = Rs 6500 - Rs 866.66
- Selling price after discount = Rs 5633.34
2. Calculate the selling price after adding a profit of 40%:
- Profit percentage = 40%
- Selling price with profit = Selling price after discount + Profit amount
- Selling price with profit = Rs 5633.34 + (40/100) * Rs 5633.34
- Selling price with profit = Rs 5633.34 + (2/5) * Rs 5633.34
- Selling price with profit = Rs 5633.34 + Rs 2253.34
- Selling price with profit = Rs 7886.68
Therefore, the market price of the table is Rs 7886.68.