Question

If selling price = 900 rupees, discount is 20%, then find the marked price.
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Answer 1

✬ M.P = Rs 1125 ✬

Step-by-step explanation:

Given:

• Selling price is Rs 900.
• Discount percentage is 20%.

To Find:

• What is the marked price ?

Solution: Let the marked price be Rs x.

➟ Total Discount = 20% of M.P

➟ 20/100 × x = 20x/100

➟ x/5

As we know that

★ S.P = M.P – Discount ★

$\implies{\rm }$ 900 = x – x/5

$\implies{\rm }$ 900 = 5x – x/5

$\implies{\rm }$ 900 = 4x/5

$\implies{\rm }$ 900 × 5 = 4x

$\implies{\rm }$ 4500/4 = x

$\implies{\rm }$ 1125 = x

Hence, marked price is Rs 1125.

Answer 2

Given:

• Selling price is Rs 900.
• Discount percentage is 20%.

To Find: the marked price

Solution:

Let the marked price be Rs x.

Discount = 20% of M.P

$\implies \: \frac{20}{100} \times x \\ \\ \implies \: { \cancel{\frac{20x}{100}}} \\ \\ \implies \: \frac{x}{5}$

Now,

We know that

$\underline{\underline{S.P = M.P – Discount}}$

$\implies \: 900 = x – \frac{x}{5} \\ \\ </p><p></p><p> \implies \: 900 = \frac{5x - x}{5} \\ </p><p></p><p> \\ \implies \: 900 = \frac{4x}{5} \\ </p><p></p><p> \\ \implies \: 900 \times 5 = 4x \\ </p><p></p><p>$

$\\ \implies{ \cancel{ \frac{4500}{4}}} = x \\ </p><p></p><p> \\ \implies \: 1125 = x \\ </p><p>$

Hence, marked price is Rs 1125.

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