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The marked price of an article is Rs 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article

Solution:

Marked Price(MP) = Rs. 500

Discount = 5%

Therefore,

Discount = 5% × 500

= Rs. 25

Selling Price = Rs. 500 - Rs. 25 = Rs. 475

Since the shopkeeper still makes a profit of 25% the cost price of the article is calculated as below:

Cost Price = (100/125) × 475

= (4/5) × 475

= 4 × 95

= Rs. 380

✦ Try This: If the marked price of an article is Rs. 300 and the shopkeeper gives a discount of 10% and makes a profit of 8%. Find the cost price of the article.

MP = Rs. 300

Discount = 10%(300)

= 10/100(300)

Rs. 30

SP = 300-30= Rs. 270

Since the shopkeeper still makes a profit of 8% the cost price of the article is calculated as below:

If the SP is Rs. 108, the CP = Rs. 100

If the SP is Rs. 270, the CP = (100/108)× 270

= 27000/108

= Rs. 250

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

NCERT Exemplar Class 8 Maths Chapter 9 Problem 71

The marked price of an article is Rs 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article

Summary:

The marked price of an article is Rs 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is Rs. 380

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