#Geometry-6





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#Ratios-1

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Abhishek and Rani started a partnership business by investing Rs.1 cr and Rs.2 cr respectively in the beginning of the year. Each of them withdrew one-fourth of their investment after each quarter till 2nd quarter. At this point Susmita and Randeep joined them with Rs.50 lakh and Rs.1 cr respectively. Randeep withdrew his entire investment after 3 months. If the profit at the end of the year is Rs. 41 lakhs, the combined share of Abhishek and Rani is: (1) Rs.22 lakh (2) Rs.33 lakh (3) Rs.8 lakh (4) Rs.30 lakh Solution:-
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#Profit&Loss-1

A shopkeeper uses false weights thereby cheats customer by giving 750 gm instead of 1 kg. He also claims that he sells rice at the cost price. In order to increase his sales he offered 125 gm of rice free with every 1 kg of rice. What is his overall percentage(approximate) profit if a customer buys 1 kg of rice and if the shopkeeper uses false weight to measure 125 gm also? Solution- Let the cost price of 1 gm of rice = Re 1 Cost Price of 750 gm = Rs. 750 Selling Price = Rs. 1000 We know that, SP = CP*(1 + Profit%) He is offering 125 gm for free but actually he is just giving 125*3/4 gms for free => SP = 1000*1 + 125*(3/4)*0 =>CP = 750 + 125*(3/4) => 1000 = (750 + 125*0.75)*(1 + Profit%) => Profit% = 18.51% Ans
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#DILR-25

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In a certain school, there are 300 boys and some girls. Each of them is either short or tall, either overweight or underweight. The number of boys who are tall as well as underweight is maximum possible and is 1/3rd of the students who are tall and underweight. Also, the number of girls who are tall and overweight exceeds the number of boys who are short and underweight by 15. The number of boys who are short and overweight exceeds the number of girls who are short and underweight by 25. Further, the number of girls who are short and overweight exceeds the number of boys who are tall and overweight by 50. Also, each category of students has at least 5 students. 1)What is the minimum possible strength of this school? 2)What is the maximum possible difference between the students who are tall and the students who are overweight? 3)What is the maximum possible difference between the tall underweight girls and short overweight boys? 4)What is the approximate percentage of students wh...
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