Question

On selling an article for Rs. 100.8 a shopkeeper gains 12%. The cost price of the article
is

Answer 1

✬ C.P = Rs 90 ✬

Step-by-step explanation:

Given:

• Selling Price of article is Rs 100.8
• Gain percent made in article is 12%.

To Find:

• What is the cost price of article ?

Solution: To find C.P when gain % and S.P are given we use the formula

★ C.P = 100/(100 + gain%) S.P ★

$\implies{\rm }$ 100/(100 + 12)(100.8)

$\implies{\rm }$ 100/112 (100.8)

$\implies{\rm }$ 10080/112

$\implies{\rm }$ 90

Hence, C.P of article was Rs 90.

_____________________

★ Verification ★

➭ Gain = S.P – C.P

➭ Gain = 100.8 – 90 = 10.8

➭ Gain % = Gain/CP (100)

➭ 12% = 10.8/90(100)

➭ 12% = 1080/90

➭ 12% = 12%

$\large\boxed{\texttt{Verified}}$

Answer 2

Answer:

⭐Given⭐

✏Selling Price of article is Rs 100.8

✏Gain percent made in article is 12%.

⭐To Find⭐

✏What is the cost price of article ?

⭐Solution⭐

✏ To find C.P when gain % and S.P are given we use the formula

✳ C.P = 100/(100 + gain%) S.P ✳

=>100/(100 + 12)(100.8)

=> 100/112 (100.8)

=>10080/112

=>90✔

➡Hence, C.P of article was Rs 90.✔

__________________

➡ Some Important Formula:-

1) Profit = S.P - C.P

2) Loss = C.P - S.P

3) Sale Price = I) C.P + Gain

II) C.P - Loss

4) Cost Price = I) S.P - Gain

II) S.P + Loss

5) Profit % = total profit/ cost profit×100

6) Loss % = total profit/ cost price× 100

Step-by-step explanation:

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