Question

The cost of an article goes down every year by 20% of its previous value find its original cost if the cost of its after 2 years is rupees 9600

Answer 1

Solution :-

→ Rate of Price Decrease Every year = 20%

→ Price After 2 year = Rs.9600 .

→ Original Price = Let = Rs.x .

A/q,

→ 9600 = x[ 1 - (20/100)]²

→ 9600 = x[ 1 - (1/5)]²

→ 9600 = x[ 4/5]²

→ 9600 = 16x / 25

→ 9600*25 = 16x

→ 16x = 9600 * 25

Dividing Both sides by 16,

→ x = 600 * 25

→ x = Rs.15000 (Ans).

Hence, Original Cost of Article was Rs.15000.

Answer 2

Answer:

Step-by-step explanation:

Given :-

Rate per decreased price = 20 %

Price after 2 years = Rs. 9600

To Find :-

Original Cost.

Solution :-

Let the Original price be Rs. x.

⇒ 9600 = x(1 - (20/100))²

⇒ 9600 = x(1 - (1/5))²

⇒ 9600 = x(4/5)²

⇒ 9600 = 16x/25

⇒ 9600 × 25 = 16x

⇒ 16x = 9600 × 25

⇒ 16x = 240000

⇒ x = 240000/16

⇒ x = 15000

Hence, the original cost is Rs. 15000.