Q20 of 35 Page 175

Rabi uncle bought rice at Rs. 3000. He sold part of rice at 20% loss and part of rice at 25% profit. At what percentage profit, the remaining part of rice is to be sold to get overall 10% profit.

Overall all profit = ×Rs. 3000


= Rs. 300


Cost price of part of rice = = Rs. 1000


If he sells at 20% loss


Loss = × Rs. 1000 = Rs. 200


Cost price of part of rice = = Rs. 1200


If he sells at 25% Profit


Profit = × Rs. 1200 = Rs. Rs 300


Cost price of remaining part = Rs. [3000 – 1200 - 1000]


= Rs. 800


Let’s say he sells at X% profit


Profit = × Rs. 800 = Rs. 8X


Overall all profit = Rs. 300 – Rs. 200 + Rs. 8X


Rs. 300 = Rs. 100 + Rs. 8X


8X = 200


X = = 25%


On remaining part 25% profit is to made for overall 10%.


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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.