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In a school exhibition, hand-made crafts are displayed for sale. Some students are assigned the work of selling crafts. The overall profit p depends on the number of students x selling the crafts on that particular day and is given by the equation $p = 250 x - 5 x^{2} .$ The school manager claims to have made a maximum profit. Find the number of students engaged in selling the crafts and the maximum profit made.

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Important Questions on Quantitative Skills

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 25

A person purchased a smartphone for

Rs . 8, 000

and sold it at a profit of

25 %

. From that amount, he purchased another phone and sold it at a loss of

20 %

. What is his overall profit or loss?

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 26

A shopkeeper claims a loss of

4 %

on his goods, but uses weight equal to

840 gm

instead of

1 kg

. The shopkeeper actually makes a:

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 27

A product priced at

Rs . 1000

would earn a shopkeeper a profit of

15 % .

Find the profit percentage earned by him if he decides to sell the product at a discount of

Rs . 50

during the festivals.

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 28

On selling

630

pens, a shopkeeper makes a profit equal to the selling price of

90

pens. Find the approximate profit percentage.

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 29

The capital of a company, Estyle, is made of

75, 000

preferred shares with a dividend of

15 %

and

20, 000

common shares, with the par value of each type of share as

Rs . 10 .

The total profit of Estyle was

Rs . 2, 40, 000

of which

Rs . 40, 000

was kept in a reserve fund. The remaining profit was distributed to the shareholders. What would be the difference in the dividend percentage given to the common shareholders if the amount kept away in the reserve fund was reduced to

Rs . 25, 000 ?

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 30

Yalda sold two

MP 3

players using two different online sites. She sold one for

Rs . 1, 710

at a loss of

5 %

and the other for

Rs . 2, 520

at a profit of

20 %

. What is her total profit or loss percentage?

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 31

Satish works on

15 %

commission on the total cost of the book sets he sells. He sold

10

book sets at

Rs . 850

each,

5

Rs . 750

each, and

10

Rs . 700

each. How much more commission would he have made had he sold all the book sets at

Rs . 850

each?

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NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 32

The ratio of the cost price to the selling price of an item is

4 : 5

. The item is sold at a profit of

Rs . 500 .

What is the selling price of the item?

Important Questions on Quantitative Skills

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