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 ‘A’ purchased a computer having MRP of Rs. 60,000 for Rs. 45,000 and was offered a cash discount of Rs. 9,000. At what percentage he got trade discount on MRP before getting cash discount?
  • a)
    15%
  • b)
    10%
  • c)
  • d)
    25%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
‘A’ purchased a computer having MRP of Rs. 60,000 for Rs. ...
Description: 
Market Price =Rs. 60,000
Less: Purchase Price =Rs. 45,000
Trade discount before discount =Rs. 15,000
Less: Cash Discount =Rs. 9,000
Trade discount after cash discount =Rs. 6,000
Percentage of Trade Discount= (15,000/60,000)*100
= 25%
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Community Answer
‘A’ purchased a computer having MRP of Rs. 60,000 for Rs. ...
Given:
MRP = Rs. 60,000
Selling price = Rs. 45,000
Cash discount = Rs. 9,000

To find:
Trade discount on MRP before cash discount

Solution:

Step 1:
We know that,
Discount = MRP - Selling price
= Rs. 60,000 - Rs. 45,000
= Rs. 15,000

Step 2:
Let the trade discount be 'x' percent
Then,
MRP × (100 - x)/100 = Selling price

Substituting the given values, we get
60000 × (100 - x)/100 = 45000

Simplifying, we get
100 - x = 75
x = 25

Therefore, the trade discount on MRP before cash discount is 25%.

Step 3:
Now, we need to subtract the cash discount from the selling price to get the actual amount paid.
Actual amount paid = Selling price - Cash discount
= Rs. 45,000 - Rs. 9,000
= Rs. 36,000

Step 4:
We can find the effective discount percentage using the formula,
Effective discount percentage = Total discount / MRP × 100

Substituting the given values, we get
Effective discount percentage = (15000 + 9000)/60000 × 100
= 40%

Therefore, the purchaser got a trade discount of 25% on MRP before getting a cash discount of 20%.

Hence, option (D) 25% is the correct answer.
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