Question

when sp of an object is 1000 rupees and profit is 20% then find the cp of the object?

Answer 1

Given that S.P = Rs 1000

profit = 20%

let C.P = x

so  profit = 20% of x = (20/100)×x = x/5

C.P = S.P - Profit

⇒ x =  1000 - (x/5)

⇒ x + x/5 = 1000

⇒(5x + x)/5 = 1000

⇒6x = 5000

⇒ x = 5000/6 = 833.33

Hence cost price of object = Rs 833.33

Answer 2

☞Correct Question:

When SP of an object is 1000 rupees and profit is 20% then find the CP of the object?

☞Required Answer:

The CP of an object is 833.33

☞Given:

• SP (selling price) of an object = 1000

• Profit = 20%

☞To Find:

CP (cost price) of an object.

☞Solution:

SP of an object = 1000

Profit = 20%

✒Formula used :

CP = $\sf\dfrac{100}{100+Profit}$ × SP

CP = $\sf\dfrac{100}{100+20}$ × 1000

CP = $\sf\dfrac{100}{120}$ × 1000

CP = $\cancel\dfrac{100}{120}$ × 1000

CP = $\sf\dfrac{5}{6}$ × 1000

CP = $\sf\dfrac{5000}{6}$

CP = $\cancel\dfrac{5000}{6}$

CP = 833.33

Therefore, CP of an object is 833.33