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Q #16
:

Directions: Refer the following data to answer the questions given below.

Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

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In 20 kg fresh grapes, 18 kg is water and 2 kg is dried grapes. But these must contain 20% of water of total weight. Hence 2/0.8 = 2.5 kg.

Q #17
:

Directions: Refer the following data to answer the questions given below.

A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A. The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader sells the entire mixture for Rs. 264 and makes a profit of 10%, then the highest possible cost of paint B, in Rs. per litre, is

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Let the quantities of the paints A and B in the mixture sold be a litres and b litres respectively. Value at which the entire mixture is sold=264 Profit percent made=10% 100 Price at which the entire mixture is bought=24 per litre Let the cost of B be x per litre. Cost of A=(x+8)per litre ( x? 8)a?xb?24 10 Maximum cost of B will occur when a is minimum. b<=a. So, minimum a is 5. Corresponding b is 5. Then (x+8)(5)+x(5)=240 x=20

Q #18
:

Directions: Refer the following data to answer the questions given below.

In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?

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Let the average age of people aged 51 years and above be x years. Let the average age of people aged below 51 years be y years. Let the number of people aged below 51 years be N. Given, the average age of all the people in the apartment complex is 38 years. Therefore, x?30?y?N? 38 ….(1) 30?N We want to maximize y, which occurs when x is minimum i.e. for x=51. Substituting the value of x in (1) we get 390=N×(38-y) Again, when y is maximum, N is also maximum i.e. 39 Therefore maximum value of y = 28.

Q #19
:

Directions: Refer the following data to answer the questions given below.

Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio

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