Model 1 Basic Concepts of C.P and S.P Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on profit & loss topic of quantitative aptitude

Questions : A salesman expects a gain of 13% on his cost price. If in a month his sale was Rs.7,91,000, what was his profit ?

(a) Rs.91,000

(b) Rs.88,300

(c) Rs.85,659

(d) Rs.97,786

The correct answers to the above question in:

Answer: (a)

Using Rule 1,

Cost price = ${791000 × 100}/113$ = Rs.700000

Gain = 791000 - 700000 = Rs.91000

Practice profit & loss (Model 1 Basic Concepts of C.P and S.P) Online Quiz

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Read more basic cp and sp Based Quantitative Aptitude Questions and Answers

Question : 1

A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?

a) Rs.1160

b) Rs.1190

c) Rs.1202

d) Rs.1000

Answer: (b)

Using Rule 3,
If an object is sold on r% Profit.

then,S.P. = C.P$[{100 + \text"Profit%"}/100]$
or
C.P. = S.P$[100/{100 + \text"Profit%"}]$

Similarly, If an object is sold on r% loss, then

S.P. = C.P.$[{100 - \text"Loss%"}/100]$
or
C.P. = S.P$[100/{100 - \text"Loss%"}]$

Selling price = $1400 × {100 - 15}/100$

= $1400 × 85/100$ = Rs.1190

Question : 2

There is a profit of 20% on the cost price of an article. The % of profit, when calculated on selling price is

a) 33$1/3$%

b) 20%

c) 16$2/3$%

d) None of these

Answer: (c)

C.P. of article = Rs.x

S.P. = ${120x}/100$ = Rs.${6x}/5$

Gain = ${6x}/5 - x = {6x - 5x}/5$ = Rs.$x/5$

Gain per cent = $\text"Gain"/ \text"S.P."$ × 100

= ${x/5}/{{6x}/5} × 100 = 50/3 = 16{2}/3%$

Question : 3

On selling an article for Rs.651, there is a loss of 7%. The cost price of that article is

a) Rs.793

b) Rs.751

c) Rs.744

d) Rs.700

Answer: (d)

Let the C.P. of article be 'x '

Since, (100 - 7)% x = 651

Since, x = $651/93 × 100$ = Rs.700

Using Rule 3,
If an object is sold on r% Profit.

then,S.P. = C.P$[{100 + \text"Profit%"}/100]$
or
C.P. = S.P$[100/{100 + \text"Profit%"}]$

Similarly, If an object is sold on r% loss, then

S.P. = C.P.$[{100 - \text"Loss%"}/100]$
or
C.P. = S.P$[100/{100 - \text"Loss%"}]$

= $651(100/{100 - 7}) = {651 × 100}/93$

C.P. = Rs.700

Question : 4

An item when sold for Rs.1,690 earned 30% profit on the cost price. Then the cost price is

a) Rs.1,300

b) Rs.630

c) Rs.507

d) Rs.130

Answer: (a)

Using Rule 3,

If the C.P. be x, then

${x × 130}/100 = 1690$

$x = {1690 × 100}/130$ = Rs.1300

Question : 5

A retailer buys a radio for Rs.225. His overhead expenses are Rs.15. He sells the radio for Rs.300. The profit per cent of the retailer is :

a) 20%

b) 26$2/3$%

c) 25%

d) 33$1/3$%

Answer: (c)

Using Rule 1,

Actual C.P. = 225 + 15 = Rs.240

Gain = 300 - 240 = Rs.60

Gain per cent = $60/240 × 100 = 25%$

Question : 6

By selling an article, a man makes a profit of 25% of its selling price. His profit per cent is

a) 16$2/3$%

b) 25%

c) 20%

d) 33$1/3$%

Answer: (d)

Using Rule 1,

If S.P > C.P. then there will be profit

Profit = S.P. - C.P.

Profit% = ${\text"Profit" × 100}/{\text"C.P."}$

If the S.P. of article be x, then its

CP = $x - x/4$ = Rs.${3x}/4$

Gain % = ${x/4}/{{3x}/4} × 100$

= $100/3 = 33{1}/3$%

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