Question

The face value of a chair and a table are in the ratio of 2: 3 respectively. The shopkeeper offers a 20% discount on the chair. If the combined discount on both the chair and the table is 26%, what will be the discount given on the table?​

Answer 1

Answer:

Step-by-step explanation:

Given,

The face value of a chair and a table are in the ratio of 2: 3 respectively.

The shopkeeper offers a 20% discount on the chair.

The combined discount on both the chair and the table is 26%.

To Find,

Discount given on the table.

Solution,

Let the discount on table be x.  

Ratio of the face value of a chair and a table = 2:3  

Face value of the Chair = Rs 200x  

Face value of the Table = Rs 300x

 

Combined price = Rs (200x + 300x) = Rs 500x  

Combined selling price = Rs 500x (1 - 26/100) = Rs 370

Now Selling price    

Chair = Rs 200x (1 - 20/100) = Rs 160  

Table = Rs 300x (1 - x/100) = Rs (300 - 3x)

 

Now, According to the question,  

⇒ Combined selling price = Selling price of (chair + table)  

⇒ 370 = 160 + (300 - 3x)  

⇒ x = 30%  

Hence, the discount given on the table is 30%.

Answer 2

Given:-

• The face value of a chair and a table are in the ratio of 2: 3 respectively. The shopkeeper offers a 20% discount on the chair.

To Find:-

• If the combined discount on both the chair and the table is 26%, what will be the discount given on the table?

Solution:-

Let,

• Face value of the Table = Rs. 300x  
• Face value of the Chair = Rs. 200x

Total price = Rs. 300x + Rs. 200x= Rs. 500x

Total selling price = Rs 500x ($1-\dfrac{26}{100}$) = Rs 370

Selling price of each,

Chair = Rs 200x ($1-\dfrac{20}{100}$) = Rs. 160

Table = Rs 300x ($1-\dfrac{x}{100}$)= Rs (300 - 3x)

Now,

Combined selling price = Selling price of (chair + table)  

370 = 160 + (300 - 3x)

300 - 3x = 370 - 160

300 - 3x = 210

3x = 300 - 210

$x= \dfrac{90}{3}$

x = 30%

Hence, The discount given on the table is 30%.

━━━━━━━━━━━━━━━━━━