Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. H...
Given:
Price of car sold by E = Rs. 1,80,000
Discount offered by E:
- 5% on first Rs. 1,00,000
- 12.5% on remaining Rs. 80,000
Price of car sold by R = Rs. 1,80,000
To find:
The percent discount that R should offer on the marked price to be competitive with E's offer.
Solution:
Let's first calculate the discount offered by E:
Discount on first Rs. 1,00,000 = 5% of Rs. 1,00,000 = Rs. 5,000
Discount on remaining Rs. 80,000 = 12.5% of Rs. 80,000 = Rs. 10,000
Total discount offered by E = Rs. 5,000 + Rs. 10,000 = Rs. 15,000
Now, let's calculate the selling price of car sold by E after discount:
Selling price of car sold by E = Price of car - Discount offered
= Rs. 1,80,000 - Rs. 15,000
= Rs. 1,65,000
We know that the price of car sold by R is also Rs. 1,80,000.
To be competitive, R should offer the same selling price as E, i.e. Rs. 1,65,000.
Let 'x' be the percent discount that R should offer on the marked price to sell the car at Rs. 1,65,000.
Discount offered by R = x% of Rs. 1,80,000 = Rs. (x/100)*1,80,000
Marked price of car sold by R = Price of car - Discount offered
= Rs. 1,80,000 - Rs. (x/100)*1,80,000
= Rs. 1,80,000*(1 - x/100)
Since R is selling the car at Rs. 1,65,000, we can equate the above expression to Rs. 1,65,000 and solve for 'x':
1,80,000*(1 - x/100) = 1,65,000
1 - x/100 = 1,65,000/1,80,000
1 - x/100 = 0.9167
x/100 = 1 - 0.9167
x/100 = 0.0833
Therefore, x = 8.33%
Hence, R should offer a discount of 8.33% on the marked price to be competitive with E's offer.
Answer: Option B) 8.33%