Advertisements
Advertisements
प्रश्न
Find the single discount which is equivalent to successive discounts of 20%, 10% and 5%. Hence, find the selling price of an article marked at Rs. 2500.
Advertisements
उत्तर
Let the M.P. be of the article be Rs. x and a single discount be d % be equivalent to three given successive discounts of 20%, 10% and 5%.
Equating the two selling prices of the article we get
`(1 - "d"/100)` of Rs. x
= `(1 - 20/100)(1 - 10/100)(1 - 5/100)` of Rs. x
⇒ `(1 - "d"/100) xx x = (80)/(100) xx (90)/(100) xx (95)/(100) xx x`
⇒ `1 - "d"/(100) = (80)/(100) xx (90)/(100) xx (95)/(100)`
⇒ `1 - "d"/(100) = (684000)/(1000000)`
⇒ `1 - (684000)/(1000000) = "d"/(100)`
⇒ `(316000)/(1000000) = "d"/(100)`
⇒ d = `(316000 xx 100)/(1000000)`
⇒ d = 3.16%
M.P. of the article = Rs.2500
S.P. = `(1 - 31.6/100) xx 2500`
⇒ S.P. = `(68.4)/(100) xx 2500`
⇒ S.P. = Rs.1710
Hence, the equivalent discount is Rs.31.6% and the S.P. is Rs.1710.
APPEARS IN
संबंधित प्रश्न
The marked price of the fan is 3000 rupees. Shopkeeper gave 12% discount on it. Find the total discount and selling price of the fan.
The cost price of an article is `4/5` times of its selling price. Find the loss or the gain as a percent.
The cost price of an article is Rs. 2,400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at a 15% discount.
A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs. 150?
A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of this stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether.
Find the M.P. in the following :
S.P. = Rs.1892, Discount = 14%
Levi's having a sale where everything is a discount of 30%. How much would a pair of jeans priced at Rs.1750 cost?
Find the M.P. if S.P. = Rs 9,250 and discount = `7 1/2%`
A watch worth Rs 5400 is offered for sale at Rs 4,500. What per cent discount is offered during the sale?
Arunima bought household items whose marked price and discount % is as follows:
| Item | Quantity | Rate | Amount | Discount % |
| (a) Atta | 1 packet | 200 | 200 | 16% |
| (b) Detergent | 1 packet | 371 | 371 | 22.10% |
| (c) Namkeen | 1 packet | 153 | 153 | 18.30% |
Find the total amount of the bill she has to pay.
