The selling price of an articles for Rs 10000 after giving three discounts, 20%, 10%, and k% is Rs6120. What will be selling price (in Rs) of the same articles if a discount of (k + 20)% is allowed?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 6500
Given :
Marked price (MP) = Rs 10,000
Selling price = Rs 6120
Three discounts = 20%, 10% and k%
Formula used :
Selling price = (MP) × [(100 - D%)/100] ---- (1)
Calculations :
Using equation (1), we get selling price after 1st and 2nd discount
Selling price after 1st discount = 10000(80/100)
⇒ 8000
Selling price after 2nd discount = 8000(90/100)
⇒ 7200
Final discount = 7200 - 6120
⇒ (1080/7200) × 100
⇒ k% = 15
If the article is sold after giving (20 + k)% discount i.e (35%)
Using equation (1), we get
⇒ 10000 (65/100)
⇒ Rs 6500