Advertisements
Advertisements
Question
A shopkeeper gives two successive discounts on an article whose marked price is ₹ 180 and selling price is ₹ 108. Find the first discount percentage if the second discount is 25%
Advertisements
Solution
Marked price is given as ₹ 180
Let 1st discount be d1 % = ? ...(to find)
2nd discount be d2 % = 25%
Selling price is 108 ...(given)
Price after 1st discount = `180(1 - ("d"_1)/100)` = P ...(1)
Price after 2nd discount = `"P"_1 (1 - ("d"_2)/100)` = 108
Substituting for P1 from (1), we get
`180(1 - ("d"_1)/100)(1 - ("d"_2)/100)` = 108
⇒ Since d2 = 25, we get
`180(1 - ("d"_1)/100)(1 - 25/100)` = 108
∴ `(1 - ("d"_1)/100) = 108/180 xx 100/75 = 4/5`
`1 - ("d"_1)/100 = 4/5`
∴ `("d"_1)/100 = 1 - 4/5 = 1/5`
∴ d1 = `1/5 xx 100` = 20%
1st discount = 20%
APPEARS IN
RELATED QUESTIONS
Rekha bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and loss percent.
Valavan bought 24 eggs for ₹ 96. Four of them were broken and also he had a loss of ₹ 36 on selling them. What is the selling price of one egg?
Mangai bought a cell phone for ₹ 12585. It fell down. She spent ₹ 500 on its repair. She sold it for ₹ 7500. Find her profit or loss
There is no profit or loss when
The meeting of the Meenkar Bank has just begun. Fazila is the president. Twenty fisherwomen have made their own bank. Each saves Rs 25 every month and puts it in the bank.
How much money does the group collect each month?
In case of loss, `C.P. = (100 xx S.P.)/(100 + Loss%)`
A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
- Method 1: Subtract Rs 50 from the price and take 25% off the resulting price.
- Method 2: Take 25% off the original price and then subtract Rs 50.
- Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.
- For each method, calculate the amount Sheela would have to pay. Show your work.
- Which method do you think stores actually use? Why?
A farmer bought a buffalo for ₹ 44000 and a cow for ₹ 18000. He sold the buffalo at a loss of 5% but made a profit of 10% on the cow. The net result of the transaction is ______.
Mohini bought a cow for ₹ 9000 and sold it at a loss of ₹ 900. The selling price of the cow is ______.
Aahuti purchased a house for ₹ 50,59,700 and spent ₹ 40300 on its repairs. To make a profit of 5%, she should sell the house for ₹ ______.
