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Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280

Solution :

The Marked price of the article = Rs. 280

The discount of 20% is on the marked price which results in the discounted price of :

Discount = 20% of 280

= (20/100) × 280

= (1/5) × 280

= 56

Discounted Price = Rs. 280 - Rs 56 = Rs. 224

Vishakha makes a profit of 12% by selling the article at Rs.224. The cost price is therefore calculated as:

Cost Price(CP) = (100/112) × 224 [if CP is 100 then SP(selling price) = 112]

= (224/112) × 100

= 2 × 100

= Rs. 200

✦ Try this: Vishakha offers a discount of 15% on all the items at her shop and still makes a profit of 10%. What is the cost price of an article marked at Rs 300?

The Marked price of the article = Rs. 300

The discount of 20% is on the marked price which results in the discounted price of :

Discount = 20% of 300

= (20/100) × 300

= (1/5) × 300

= 60

Discounted Price = Rs. 300 - Rs 60 = Rs. 240

Vishakha makes a profit of 20% by selling the article at Rs.240. The cost price is therefore calculated as:

Cost Price(CP) = (100/120) × 240 [if CP is 100 then SP(selling price) = 120]

= (240/120) × 100

= 2 × 100

= Rs. 200

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 8

NCERT Exemplar Class 8 Maths Chapter 9 Sample Problem 13

Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280

Summary:

When Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12% the cost price of an article marked at Rs. 300 is Rs. 200

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