Question

A shopkeeper marked up an article 40% above its CP and allowed 2 successive discounts of d% and 25% respectively on it. If shopkeeper made a loss of 16% on the SP of the article. then find 'd'​

Answer 1

Answer:

let CP of the article = Rs. 100x

Let the MP of the article = 100x × (140/100) = Rs. 140x

SP of the article after getting two successive discount of 20% and 25% = 140x × (80/100) × (75/100) = Rs. 84x

Loss = 100x - 84x = 16x

16x = 140

x = 140/16

CP of the article = 140/16 × 100 = Rs. 875

Answer 2

Answer: d is 20% discount

Step-by-step explanation:

Let, cp is x rs

Marked price is (100+40)x/100 = 1.4x rs

After 1st discount,

Selling price = (100- d)×1.4x/100 = 0.014(100-d)x rs

After 2nd discount,

Selling price = (100-25)/100 × 0.014(100-d)x = 0.0105(100-d)x

Now, loss on sp = (100-16)×x/100 = 0.84x

Now, 0.0105(100-d)x = 0.84x

, 100-d = 0.84/0.0105 = 80

, d = 20%