Question

A dealer buys a table listed at Rs.1500 and gets a successive discount of 20% and 10%. He spends Rs 20 on transportation and sells it a profit of 10%. Find the selling price of a table
a. Rs 1800
b. Rs 4630
c. Rs 1188
d. Rs 1210

Answer 1

Hint: This question is related to discount. The discount of the table is given and the marked price is also given. By using the formula related to discount we first find the cost price of the table and by the profit percentage we can find the selling price.

Complete step-by-step answer:
By the data we have the marked price of a table Marked price = Rs 1500. The successive discount is 20% and 10%.
The discount allowed for the first time is 20% of the marked price.
Therefore, the discount at first time is $ \dfrac{{20}}{{100}} \times 1500 $
 $ \Rightarrow $ the discount is $ 20 \times 15 = 300 $
The price after the first discount is $ 1500 - 300 $
Therefore, the price after the first discount is Rs 1200.
The Rs 1200 is considered as a marked price
Now the discount allowed for the second time is 10% of marked price
We will convert the percentage into amount so we have
The discount allowed for the second time is $ \dfrac{{10}}{{100}} \times 1200 $
 $ \Rightarrow $ the discount is $ 10 \times 12 = 120 $
The price after the second discount is $ 1200 - 120 $
Therefore, the price after the second discount is Rs 1080.
He spends the amount for the transportation Rs 20. It is added to the price after the second discount. We consider this total amount as a cost price.
The cost price is 1080+20=1100
Therefore, the cost price of a table is Rs 1100.
Now we have to find the selling price of a table where we know the profit percentage of a table.
We use the formula
 $ profit\% = \dfrac{{(S.P - C.P)}}{{C.P}} \times 100 $
By substituting the all values to the formula. Let selling price be x and cost price is Rs 1100 and the profit percentage is 10
 $ 10 = \dfrac{{(x - 1100)}}{{1100}} \times 100 $
 $ \Rightarrow 10 = \dfrac{{(x - 1100)}}{{11}} $
On cross multiplying
 $
   \Rightarrow 10 \times 11 = x - 1100 \\
   \Rightarrow 110 = x - 1100 \;
  $
Finding the value of x
 $
   \Rightarrow x = 1100 + 110 \\
   \Rightarrow x = 1210 \;
  $
Therefore, the selling price of a table is Rs 1210.
So, the correct answer is “Option d”.

Note: We should know about the discount and marked price. We should not make any confusion between the marked price and cost price where the marked price is the price for the thing by the shopkeeper and the cost price is the price at which we buy the thing. By using the concept loss and profit we can determine the solution for this question.