model 11 ratio & partnership Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

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

Questions : The ratio of cost price and selling price of an article is 8 : 9. The profit per cent is

(a) 15%

(b) 20%

(c) 12.5%

(d) 10%

The correct answers to the above question in:

Answer: (c)

Using Rule 1,

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

Profit = S.P. - C.P.

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

Let the CP = 8x and SP = 9x

Profit = (9x - 8x) = x

Profit % = $x/{8x} × 100 = 25/2 =12.5%$

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Read more ratio partnership Based Quantitative Aptitude Questions and Answers

Question : 1

The ratio of the C.P. and S.P. of an article is 20 : 21. What is the gain per cent ?

a) 5.5%

b) 5%

c) 6%

d) 6.25%

Answer: (b)

Using Rule 1,

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

Profit = S.P. - C.P.

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

Tricky Approach

Gain% = ${(21 - 20)}/20 × 100 = 1/20 × 100$ = 5%

Question : 2

The cost price : selling price of an article is a : b. If b is 200% of a then the percentage of profit on cost price is

a) 125%

b) 75%

c) 100%

d) 200%

Answer: (c)

$b = a × 200/100 = 2a$

$b/a = 2 ⇒ b/a - 1 = 2 - 1$

${b - a}/a = 1 ⇒ {b - a}/a × 100 = 100$

Gain per cent = 100%

Question : 3

If an article is sold at 200% profit, then the ratio of its cost price to its selling price will be

a) 2 : 1

b) 1 : 2

c) 1 : 3

d) 3 : 1

Answer: (c)

If C.P. = Rs.100

S.P. = Rs.300 [gain being 200%]

Required ratio = 1 : 3

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

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

= $100/{100 + 200} = 100/300$ = 1 : 3

Question : 4

An article is sold at 5% profit. The ratio of selling price and cost price will be

a) 20 : 21

b) 1 : 5

c) 21 : 20

d) 5 : 1

Answer: (c)

Let C.P. be 100 then,

S.P. = 105 [gain being 5%]

Required ratio = 105 : 100 = 21 : 20

Using Rule 3,

$\text"C.P."/\text"S.P."= 100 /{100 + \text"Profit%"} = 100/{100 + 5}$

= $100/105 = 20/21$ = 20 : 21

Question : 5

The ratio in which the Darjeeling tea at Rs.32 per kg is mixed with the Assam tea at Rs.25 per kg so as to gain 20% by selling the mixture at Rs.32.40 per kg is

a) 3 : 4

b) 4 : 3

c) 5 : 2

d) 2 : 5

Answer: (d)

If the C.P. of the mixture be Rs.x per kg, then

$x = 120/100 = 32.40$

x = ${32.40 × 100}/120 = 27$

∴ Required ratio = 2 : 5

Question : 6

If the cost price and selling price of an article are in the ratio 10 : 11, then the percentage of profit is :

a) 9%

b) 10%

c) 3%

d) 1%

Answer: (b)

Using Rule 1,

Let Cost price = 10x

Selling price = 11x

Gain per cent = ${11x - 10x}/{10x} × 100$

= $x/{10x} × 100 = 10%$

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