English

Find If the Following Discount Series is Better for the Customer: 20%, 20% and 20% - Mathematics

Advertisements
Advertisements

Question

Find if the following discount series is better for the customer:
20%, 20% and 20%

Sum

Solution

Let the M.P. be Rs. x
Second discount
S.P. = `(1 - "d"_1/100)(1 - "d"_2/100)(1 - "d"_3/100)` of M.P.

= `(1 - 20/100)(1 - 20/100)(1 - 20/100) xx x`

= `(80)/(100) xx (80)/(100) xx (80)/(100) xx x`
= 0.512x
Clearly, since 0.512x > 0.510x, so, the S.P. of the first is less than that of the second
So, the first offer is better than the second offer.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Profit , Loss and Discount - Exercise 2.3

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 2 Profit , Loss and Discount
Exercise 2.3 | Q 12.2

RELATED QUESTIONS

A man sells a radio-set for Rs.605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16%?


By selling 8 pens, Shyam loses equal to the cost price of 2 pens. Find his loss percent.


A ready-made garments shop in Delhi, allows a 20 percent discount on its garments and still makes a profit of 20 percent. Find the marked price of a dress which is bought by the shop-keeper for Rs.400.


Find a single discount (as a percent) equivalent to following successive discounts:
20%, 10% and 5%


Find the single discount (as a percent) equivalent to successive discounts of:
 60% and 60%


Find the S.P. in the following:
M.P. =Rs. 850, Discount = 16%


The marked price of a sofa set is Rs. 36000 and is available in Guwahati at 20% discount. A shopkeeper from Delhi buys this article in Guwahati and spends Rs. 1500 on his travelling and Rs. 1200 on the transportation etc. of the article. Find the profit per cent made by the shopkeeper, if he sells the article in Delhi at the
a. marked price, b. 5% discount.


A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price.


Find the M.P. in the following :
S.P. = Rs.1892, Discount = 14%


A tradesman sells his goods at 10% discount. What price should he mark on an article that costs him Rs.2400, to gain 12.5%?


Find the single discount which is equivalent to successive discounts of 10%, 8% and 5%.


A shopkeeper allows two successive discounts of 10% and 15% on his articles. If he gets Rs.2295 for an article, find its marked price.


A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of his 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.


A trademan fixed the selling price of his goods at 40% above the cost price. He sells half his goods at this price, one-forth of his stock at a discount of 15% om the original selling price, and the rest at a discount of 25% on the original selling price. Find the gain percent altogether


The catalogue price of a Sony TV is Rs.43200. If it is sold at a discount of 16% of the catalogue price, a gain of 26% is made. Find the gain or loss percent if it is sold for Rs.9000 below the catalogue price.


The catalogue price of an article is Rs.3600 and a manufacturer sells it to the distributor at 20% off the catalogue price. The distributor sells it to the retailer at 10% off the catalogue price. What profit percent is made by the retailer, if he sells the article to a customer at catalogue price? What profit percent is made by the manufacturer, if the catalogue price is 44% above its costs?


The printed price of a book is Rs.320. A retailer pays Rs.244.80 for it. He gets successive discounts of 10% and another rate. what is the second rate?


If 90% of x is 315 km, then the value of x is ______.


Discount = ______ – ______.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×