A dealer bought a six-seater Dining Table after getting successive discounts of 15% and 12%. Thereafter, he spent 10% on transport, etc. and finally sold it for Rs. 24,169.75, thereby earning a profit of 25%. What was the marked price of the Dining Table?
Dining Table Marked Price Calculation
This solution details the steps to calculate the Marked Price (MP) of the Dining Table, considering discounts, transport costs, and profit.
Calculate Cost Price (CP)
The final Selling Price (SP) is Rs. 24,169.75, which includes a 25% profit. First, find the Cost Price (CP).
Using the formula: $ \text{SP} = \text{CP} \times (1 + \text{Profit Percentage}) $
$ \text{CP} = \frac{\text{SP}}{(1 + \text{Profit})} = \frac{24,169.75}{(1 + 0.25)} = \frac{24,169.75}{1.25} $
$ \text{CP} = \text{Rs. } 19,335.80 $
Determine Price Before Transport Cost
The CP includes 10% for transport. Calculate the price before adding this cost. Let this be PBT (Price Before Transport).
Using the formula: $ \text{CP} = \text{PBT} \times (1 + \text{Transport Percentage}) $
$ 19,335.80 = \text{PBT} \times (1 + 0.10) = \text{PBT} \times 1.10 $
$ \text{PBT} = \frac{19,335.80}{1.10} = \text{Rs. } 17,578 $
Calculate Marked Price (MP)
The price PBT (Rs. 17,578) is the price after applying successive discounts of 15% and 12% on the Marked Price (MP).
Using the formula: $ \text{MP} \times (1 - \text{Discount}_1) \times (1 - \text{Discount}_2) = \text{PBT} $
$ \text{MP} \times (1 - 0.15) \times (1 - 0.12) = 17,578 $
$ \text{MP} \times (0.85) \times (0.88) = 17,578 $
$ \text{MP} \times 0.748 = 17,578 $
$ \text{MP} = \frac{17,578}{0.748} $
$ \text{MP} = \text{Rs. } 23,500 $
Important Questions from Successive Selling
- During a sale 35% of the goods are sold at 22% profit, 40% of the remaining goods are sold at 37% profit and the still remaining goods are sold at a loss of 38%. If there is an overall profit of x%, then what is the value of x?
- A dealer buys two articles X and Y for ₹1,000 each. He marks each of them at the same price. He sells X by giving two successive discounts of 15% and 30% and still earns ₹337 as profit. If he sells Y at a single discount of 49%, then what is the profit percentage on Y?
- Find the single equivalent discount (rounded off to two decimal places) for successive discounts of 18%, 6% and 25%.
A shopkeeper marks the price of three identical articles, first, 60% above the Cost Price; second, 45% above the Cost Price and the third, 40% above the cost price. If he gives discount of 25% on first article, 20% on the second article and 15% on the third one, what is his overall profit percentage?
A manufacturer sells a product to a wholesaler at a profit of 40%. The wholesaler, in turn, sells it to a retailer at a profit of 60%, and the retailer sells it to a customer at a profit of 25%. If the customer pays ₹714, find the cost price (in) for the manufacturer.
