Question

A carpenter allows a discount of 14% to his customers and still gains 20%. Find the marked price of a center table which costs the carpenter ₹3190?

Answer 1

Hi there!
Here's the answer:

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¶ $S.P = \frac{100 + gain\%}{100} × C.P$

¶ Selling Price = Marked Price - Discount

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SOLUTION:

Given,
Cost price of item = 3190₹
On selling, carpenter gains 20%
Discount = 10%

•°• The price at which the customer buys the item = S.P of the shopkeeper

$S.P = \frac{100 + gain\%}{100} × C.P$

=> $S.P = \frac{100+20}{100}×3190$

=> $S.P = \frac{120}{100} × 3190$

=> S.P = 3828₹

Now a discount of 14% on the marked price is given by carpenter
Let marked price be ₹x

•°• Discount on the article = 14% of x

Discounted Price
= ₹$\frac{14}{100} × x = 0.14x$

Selling Price = Marked Price - Discounted Price

=> 3828 = x - 0.14x
=> 0.86x = 3828
=> x = 3828/0.86
=> x = 4451.16

Hence ,
The marked price of Table = 4451.16₹

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Hope it helps

Answer 2

Answer:

4451.16 is the correct answer