model 11 ratio & partnership 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 : 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

The correct answers to the above question in:

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

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Read more ratio partnership Based Quantitative Aptitude Questions and Answers

Question : 1

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%

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 % = $x/{8x} × 100 = 25/2 =12.5%$

Question : 2

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 : 3

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 : 4

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 : 5

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 = ${11x - 10x}/{10x} × 100$

= $x/{10x} × 100 = 10%$

Question : 6

The ratio, in which tea costing Rs.192 per kg is to be mixed with tea costing Rs.150 per kg so that the mixed tea, when sold for Rs.194.40 per kg, gives a profit of 20%, is

a) 3 : 5

b) 2 : 5

c) 5 : 3

d) 5 : 2

Answer: (b)

By the rule of alligation, CP of mixed tea

= $100/120 × 194.40$ = Rs.162 /kg

∴ Required ratio = $12/30 = 2/5$ or 2 : 5

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