A trader allows successive discounts of 15% and 10% on the marked price of an article.
(a) If the marked price is Rs. 100, what would be the selling price?
(b) If the selling price is Rs. 7650 then find the marked price.
If the marked price is 25% above the cost price, find the cost price and the percentage profit or
loss.
Answers
Answer:
(a) Selling price is Rs 76.50
(b) Marked price is Rs 10 000
(c) The loss percentage is 4.375%
Step-by-step explanation:
Question (a):
Marked Price = Rs 100
Find the price after 15% discount:
15% Discount = 0.15 x 100 = Rs 15
Price after discount = 100 - 15 = Rs 85
Find the price after 10% discount:
10% Discount = 0.10 x 85 = Rs 8.50
Price after discount = 85 - 8.5 = Rs 76.50
Answer: The selling price is Rs 76.50
Question (b):
Selling Price = Rs 7650
Find the price before 10% discount:
Price before discount = 100 - 10 = 90%
90% = Rs 7650
1% = 7650 ÷ 90 = Rs 85
100% = 85 x 100 = Rs 8500
Find the price before 15% discount:
Price before discount = 100 - 15 = 85%
85% = Rs 8500
1% = 8500 ÷ 85 = Rs 100
100% = 100 x 100 = Rs 10 000
Answer: The marked price is Rs 10 000
Question (c):
Let x be the cost price
Marked price is 25% above the cost price
Marked price = 1.25x
Price after 15% discount:
15% discount = 0.15 x 1.25x = 0.1875x
Price after discount = 1.25x - 0.1875x = 1.0625x
Price after 10% discount:
10% discount = 0.1 x 1.0625x = 0.10625x
Price after discount = 1.0625x - 0.10625x = 0.95625x
Find the profit/loss:
Since 0.95625x < x
⇒ It is a loss
Loss = x - 0.95625x = 0.04375x
Find the loss percentage:
Loss Percentage = loss/cost price x 100
Loss Percentage = (0.04375x ÷ x ) x 100 = 4.375%
Answer: The loss percentage is 4.375%
Answer:
I)76.50
ii)10000
iii)₹8000