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Q #6
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Quants Question

Directions: Read the following information to answer the question.

Ahmed promised to pay Balaji Rs. 8400 and certain amount after 24 months called as “pagadi” for working for him for 2 years. When Balaji quit 8 months before the agreed time, Ahmed paid him Rs. 4500 plus the entire pagadi as compensation. How much was the pagadi (in Rs.). If Balaji received all monies due to him in the appropriate proportion?

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Let the pagadi amount be ‘p’

    2/3 x (8400 + p) = 4500 + p

    16800 + 2p = 13500 + 3p

    p = 16800 – 13500

    p = 3300


Q #7
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Quants Question

Directions: Read the following information to answer the question.

Every year CAV organizes a Quant workshop, one month before the CAT exam. A maximum of 1000 students are allowed for the workshop. The workshop is priced at Rs.1500, of which the management retains 15% and 25% is used to pay for the faculties. The remaining amount is used for prize money to be distributed to top performing students on a test which is conducted at the end of the workshop. The price money is distributed equally to all students who score more than 50% in the test. In October 2004, a winner student took home Rs. 28140. The next year another winner took home Rs.40200. The number of students who enrolled for the workship was the same in both the years. The conditions for distributing and utilizing the money also remained the same for both the years.

How much money was divided among the students who were awarded the price in the year 2005?

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The total amount divided among the winners on the 1st week = 300 × x = 300 × 827 = 248100

Q #8
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Quants Question

Directions: Read the following information to answer the question.

A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He then sold 8 kg of peanuts at a profit of 10% and 16 kg of walnuts at a profit of 20% to a shopkeeper. However, the shopkeeper lost 5 kg of walnuts and 3 kg of peanuts intransit. He then mixed the remaining nuts and sold the mixture at Rs. 166 per kg, thus making an overall profit of 25%. At what price, in Rs. per kg, did the wholesaler buy the walnuts?

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Let the cost price of peanuts for the wholesaler be x per kg.

Cost price of walnuts for the wholesaler is 3x per kg.

The wholesaler sold 8 kg of peanuts at 10% profit and 16 kg of walnuts at 20% profit to a shopkeeper.

Total cost price to the shopkeeper = (8)(x)(1.1) + 16(3x)(1.2) = 66.4x The shopkeeper lost 5 kg walnuts and 3 kg peanuts.

The shopkeeper sold the mixture of 11 kg walnuts and 5 kg peanuts.

His total selling price=166(16) = 2656

?100 ?

His total cost price = 2656 ?    ? = 2124.8

66.4 x = 2124.8

x = 32

Price at which the wholesaler bought walnuts = 3x = 96/- per kg


Q #9
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Quants Question

Directions: Read the following information to answer the question.

In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks, but falls short of the pass mark by 68%. Which one of the following is then correct?

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A got 36 marks but falls short of pass marks by 68%.

 

Maximum possible score is N.

 

Pass mark is 45% of N. 32% of 45% of N = 36 => N = 250


Q #10
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Quants Question

Directions: Read the following information to answer the question.

I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what I had paid. What percent of the total amount paid by me was paid for the pens?

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Let one pen, one pencil and one eraser cost n, p and r units respectively. Let the amount paid by me be A units.

    I pay (5n + 7p + 4r) = A ….. Eqn. (1)

& Rajan pays (6n + 14p + 8r) = 1.5 A … Eqn. (2). 

Multiply equation (1) by 2.

we Get (10n + 14p + 8r)_ = 2A …….. Eqn.(3). 

Comparing equations (2) and (3), we see that while Rajan  gets 4 pens less, he pays 0.5A units less. Thus, A = the price of 8 pens. the % of the total price paid by me initially, which was used for pens is (5/8) (100) = 62.5%.