Question

A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23%. If he gains ₹18.40 on the sale of the article, then what is the marked price of the article?​

Answer 1

Solution

Given:-

• Profit % = 23 % = ₹ 18.40
• Discount = 18%

Find:-

• Marked price of article .

Explanation

Formula

☛ Profit % = profit × 100/cost price.

☛sales price = cost price + profit .

Given here,

➠ profit = 23% = ₹ 18.40

So,

➠ Cost price = 18.40/23 × 100

➠ Cost price = 0.8 × 100

➠ Cost price = ₹ 80

And,

➠ Sales price = 80 + 18.40

➠ Sales price = ₹ 98.40

➠ Discount = 18% of marked price .

So, sales price = (100-18)% of marked price

keep value of sales price .

➠ 98.40 = 75 % of marked price

➠ 98.40 = 75/100 of marked price

➠ marked price = 98.40 × 100/75

➠ marked price = ₹ 131.2

Hence

• Marked price of article will be = ₹ 131.2

___________________

Answer 2

Answer:

Marked price of the article = ₹ 120

Step-by-step explanation:

Solution

Given:-

Profit % = 23 % = ₹ 18.40

Discount = 18%

Find:-

Marked price of article .

Explanation

Formula

☛ Profit % = profit × 100/cost price.

☛sales price = cost price + profit .

Given here,

➠ profit = 23% = ₹ 18.40

So,

➠ Cost price = 18.40/23 × 100

➠ Cost price = 0.8 × 100

➠ Cost price = ₹ 80

And,

➠ Sales price = 80 + 18.40

➠ Sales price = ₹ 98.40

➠ Discount = 18% of marked price .

So, sales price = (100-18)% of marked price

=> sales price = 82% of marked price

keep value of sales price .

➠ 98.40 = 82 % of marked price

➠ 98.40 = 82/100 of marked price

➠ marked price = (98.40 × 100) / 82

➠ marked price = ₹ 120

Hence

Marked price of article will be = ₹ 120