Ramesh purchases a table and a chair for Rs. 3,900. He sells the table at a profit of 8% and the chair at a profit of 16%. He earns a profit of Rs. 540. What is the difference between the original price of the table and the chair?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)

Answer 1

⇒ 8% of 3900 = 312

⇒ 16% of 3900 = 624

As per question,

⇒ 26 unit → 3900

⇒ 1 unit → 3900/26

⇒ Difference between the original price of the table and chair = 12 unit

⇒ Difference = (3900/26) × 12 = 150 × 12 = 1800

∴ The difference between the original price of the table and the chair is Rs. 1800.

Given:

Ramesh purchases a table and a chair for Rs. 3,900.

He sells the table at a profit of 8% and the chair at a profit of 16%.

He earns a profit of Rs. 540.

Concept used:

Profit = Cost Price × Profit%

Calculation:

Let the original price of the chair be Rs. Q.

Original price of the table = Rs. (3900 - Q)

According to the question,

Q × 16% + (3900 - Q) × 8% = 540

⇒ 16Q + 3900 × 8 - 8Q = 54000

⇒ 8Q = 54000 - 3900 × 8

⇒ 8Q = 22800

⇒ Q = 22800/8

⇒ Q = 2850

So, the original price of the table = 3900 - 2850 = Rs. 1050

Now, the price difference between the chair and table = 2850 - 1050 = Rs. 1800

∴ The difference between the original price of the table and the chair is Rs. 1800.