Q2 of 35 Page 180

In a market, at the time of selling jute bag, the producer, wholesaler and retailer make profits of 15%, 20% and 25% respectively. Now if a bag reaches to buyer through producer, wholesaler and retailer, then let us find out the answers of the following questions:

(i) Let us calculate and write the production cost of a bag which is bought by a buyer at Rs. 138.


(ii) Let us calculate and write the price of the bag at which the buyer will buy when its production cost is Rs. 140.


(iii) The bag which a retailer has bought at Rs. 98, let us calculate and write that how much money will be given by a buyer for that bag.


(iv) The bag which the wholesaler has bought at Rs. 175, let us calculate and write that how much money, a buyer will give to buy that bag.


(v) The bag which a buyer has bought at Rs. 276, if that bag would have been bought directly from the wholesaler then how much money would be saved let us calculate and write it.

Let the production cost of jute bag be ₹ x.


Now, Profit for producer = 15%


∴ Selling price of producer


Cost price for wholesaler = selling price of producer


Profit for wholesaler = 20%


∴ selling price of wholesaler



Cost price for retailer = selling price of wholesaler



Profit for retailer = 25%


∴ selling price of retailer



(i) Let the production cost of jute bag be ₹ x.


After successive profits by producer, wholesaler and retailer,


The final price for the buyer


= ₹ 1.725x


⇒ 1.725x = 138


⇒ x = 80


So, the production cost for the jute bag is ₹ 80.


(ii) Given the production cost of jute bag = ₹ 140


After successive profits by producer, wholesaler and retailer,


The final price for the buyer


= ₹ 241.5


(iii) The cost price for the retailer = ₹ 98


The profit retailer makes on the bag = 25%


The final price for the buyer


= ₹ 122.5


(iv) The cost price for the wholesaler = ₹ 175


The profit wholesaler makes on the bag = 20%


The successive profit retailer makes on the bag = 25%


The final price for the buyer = ₹ 262.5


(v) The buying price of buyer = The selling price for the retailer = ₹ 276


Let the selling price of wholesaler be ‘x’.


Now, as retailer makes 25% profit on wholesaler’s price, therefore buyer’s price will be




⇒ 5x = 1104


⇒ x = 220.8


So, if buyer would have bought directly from wholesaler he would had a profit of (276 - 220.8 = 55.2 ₹)


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21

A trader by selling one kind of tea at Rs. 80/kg. makes a loss of 20% and makes a profit of 25% by selling another kind of tea at Rs. 200/kg. At what ratio these two types of tea should be mixed so that by selling it at Rs. 150/kg. the profit would be 25%?

 1

Subalbabu of Antpur, by producing rice sells it to a wholesaler Sahanabibi at 20% profit. Sahanabibi sells that rice to the shopkeeper Utpalbabu at 10% profit. But if Utpalbabu sells this rice at 12% profit, then let us find out the answers of the following questions by drawing picture on a straight line:

(i) Subalbabu has spent Rs. 7500 to produce some amount of rice. Let us calculate and write it with how much money Sahanabibi has bought that amount of rice.


(ii) To produce the some amount of rice Subalbabu has spent Rs. 2500, with how much money Utpalbabu will sell that amount of rice —let us calculate and write it.


(iii) The price at which Utpalbabu sells rice to us, if Subalbabu sells directly at that price then what will be the profit percentage of Subalbabu —let us calculate and write it.

 3

The production cost and the cost prices of a cycle at different levels are:


(i) Let us calculate, by selling cycle, how much profit percentage, the retailer has made.


(ii) Let us calculate and observe that by selling cycle, what the profit percentage, the wholesaler has made.


(iii) Let us calculate and write the profit percentage, that the producer has made by selling cycle.


(iv) Let us calculate and write that how much profit percentage has to be given more by a buyer than the production cost to buy a cycle.


(v) If a buyer buys a cycle directly from the producer and the producer has a profit of 30%, then how much money, the buyer will save — let us calculate and write it.

 4

The ratio of cost price and selling price is 10:11, the profit percentage is