Question

A carpenter allows a discount of 12% to his customers and still gains 20%. Find the marked price of a dining table which costs the carpenter ₹1190​

Answer 1

Given :

Marked Price of Dining Table = Rs.1250

Discount allowed = 12%

Profit gained = 20%

To Find :

Cost Price of the goods

Explanation :

To calculate Cost Price(CP) we have to find Selling price (SP) of the dining table .For calculating Selling Price (SP) of the dining table , We have to Reduce Discount from the marked price (MP).So To find the Cost price of the dining table Let's Find the below values Simultaneously :-

1. Discount Amount
2. Selling Price
3. Cost Price

Formula Applied :

$\underline{\boxed{\sf Cost\: Price = Selling\: Price\Big(\dfrac{100}{100+Profit}\Big)}}$

$\underline{\boxed{\sf Selling Price = Marked\: Price - Discount}}$

$\underline{\boxed{\sf Discount = \dfrac{Discount \%}{100} \times Marked Price }}$

Solution :

$\sf Discount = \dfrac{Discount \%}{100} \times Marked Price$

$\implies \sf Discount = \dfrac{12}{100}\times 1190$

$\implies \sf Discount = \dfrac{14280}{100}$

$\boxed{ \sf Discount = Rs. 142.8}$

$\sf Selling Price = Marked\: Price - Discount$

$\implies \sf Selling \: Price = 1190-142.8$

$\boxed{\sf Selling \: Price = Rs. 1047.2}$

$\sf Cost\: Price = Selling\: Price\Big(\dfrac{100}{100+Profit}\Big)$

$\implies \sf Cost\: Price = 1047.2 \times \Big(\dfrac{100}{100+12}\Big)$

$\implies \sf Cost\: Price = 1047.2 \times \Big(\dfrac{100}{112}\Big)$

$\implies \sf Cost\: Price = \dfrac{104720}{112}$

$\boxed{ \sf Cost \: Price = Rs. 935}$

Required Answer :

Cost Price of the dining table as per given conditions is $\underline{ \sf Rs. 935}$