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 : A, B and C entered into partnership in a business. A got $3/5$ of the profit and B and C distributed the remaining profit equally. If C got Rs.400 less than A, the total profit was

(a) Rs.1200

(b) Rs.1600

(c) Rs.1000

(d) Rs.800

The correct answers to the above question in:

Answer: (c)

Let the total profit be Rs.x.

A ’s share in profit = Rs.${3x}/5$

B ’s share in profit = Rs.$x/5$

and C ’s share in profit = Rs.$x/5$

According to the question,

$({3x}/5 - x/5)$ = 400

${2x}/5$ = 400

$x = {400 × 5}/2$ = Rs.1000

Practice profit & loss (model 11 ratio & partnership) Online Quiz

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Read more ratio partnership Based Quantitative Aptitude Questions and Answers

Question : 1

If the ratio of cost price and the selling price is 5 : 6, the gain per cent is

a) 33$1/3$%

b) 20%

c) 25%

d) 30%

Answer: (b)

Using Rule 1,

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

Profit = S.P. - C.P.

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

Let the cost price = 5x

and the selling price = 6x.

Gain % =${6x - 5x}/{5x} × 100$ = 20%

Question : 2

In what ratio Darjeeling Tea costing Rs.320 per kg be mixed with Assam Tea costing Rs.250 per kg so that there is a gain of 20% by selling the mixture at Rs.324 per kg ?

a) 2 : 3

b) 1 : 2

c) 3 : 2

d) 2 : 5

Answer: (d)

CP of the mixture = ${324 × 100}/120$ = Rs.270

∴ Required ratio = 2 : 5

Question : 3

Nita blends two varieties of tea— one costing Rs.180 per kg and another costing Rs.200 per kg in the ratio 5 : 3. If she sells the blended variety at Rs.210 per kg, then her gain percent is

a) 11%

b) 10%

c) 12%

d) 13%

Answer: (c)

Gain per cent

= ${210 × (5 + 3) -[180 × 5 + 200 × 3]}/{180 × 5 + 200 × 3}$ × 100

= ${1680 - 1500}/1500 × 100$

= $180/1500 × 100$ = 12%

Question : 4

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is

a) 25 : 37

b) 99 : 125

c) 50 : 61

d) 45 : 56

Answer: (d)

Let the printed price of the book be x.

Selling price = 90% of x = $x × 90/100 = {9x}/10$

If the CP of the book be y, then

y × $112/100 = {9x}/10$

$y/x =9/10 × 100/112 = 45/56$ or 45 : 56

Question : 5

In what ratio must a grocer mix tea at Rs.60 a kg, and Rs.65 a kg, so that by selling the mixture at Rs.68.20 a kg, he may gain 10%?

a) 3 : 4

b) 3 : 2

c) 3 : 5

d) 4 : 5

Answer: (b)

S.P. of 1 kg mixture = Rs.68.20, Gain = 10%

C.P. of 1 kg mixture = Rs.$(68.20 × 100/110)$ = Rs.62

By the rule of alligation,

∴ Required ratio = 3 : 2

Question : 6

Rs.864 is divided among A, B and C such that 8 times A’s share is equal to 12 times B’s share and also equal to 6 times C’s share. How much did B get ?

a) Rs.192

b) Rs.399

c) Rs.288

d) Rs.72

Answer: (a)

8A = B × 12 = 6C

${8A}/24 = {12B}/24 = {6C}/24$

$A/3 = B/2 = C/4$

A : B : C = 3 : 2 : 4

B’s share = $2/{3 + 2 + 4}$ × 864

=$2/9 × 864$ = Rs.192

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