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, C enter into a partnership. A contributes Rs.3,20,000 for 4 months, B contributes Rs.5,10,000 for 3 months and C contributes Rs.2,70,000 for 5 months. If the total profit be Rs.1,24,800, then A’s share in the profit is

(a) Rs.45,900

(b) Rs.38,400

(c) Rs.40,500

(d) Rs.41,500

The correct answers to the above question in:

Answer: (b)

Ratio of profit sharing among A, B and C

= Ratio of equivalent capitals of

A, B and C for 1 month

= 320000 × 4 : 510000 × 3 : 270000 × 5

= 32 × 4 : 51 × 3 : 27 × 5

= 128 : 153 : 135

Sum of ratios = 128 + 153 + 135 = 416

Total profit = Rs.124800

A’s share = $128/416 × 124800$ = Rs.38400

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Read more ratio partnership Based Quantitative Aptitude Questions and Answers

Question : 1

A milkman makes 20% profit by selling milk mixed with water at Rs.9 per litre. If the cost price of 1 litre pure milk is Rs.10, then the ratio of milk and water in the said mixture is

a) 4 : 1

b) 3 : 1

c) 3 : 2

d) 4 : 3

Answer: (b)

Let Milk : Water = K : 1

S.P. = (K + 1) × 9

C.P. = 10K; Gain = 9 - K

Gain % = ${9 - K}/{10K} × 100$

${9 - K}/{10K} × 100$ = 20

90 - 10K = 20K

30K = 90 ⇒ K = 3

Ratio = 3 : 1

Question : 2

A started a business with a capital of Rs.1,00,000. One year later, B joined him with a capital of Rs.2,00,000. At the end of 3 years from the start of the business, the profit earned was 84,000. The share of B in the profit exceeded the share of A by

a) Rs.12,000

b) Rs.10,000

c) Rs.14,000

d) Rs.15,000

Answer: (a)

Ratio of equivalent capitals of A and B for 1 month

= 100000 × 36 : 200000 × 24

= 36 : 48 = 3 : 4

Part of profit gained by A = $3/7$

Part of profit gained by B = $4/7$

Required difference

$(4/7 - 3/7) × 84000$ = Rs.12000

Question : 3

A invests Rs.64,000 in a business. After few months B joined him with Rs.48,000. At the end of year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?

a) 4

b) 8

c) 6

d) 7

Answer: (a)

B entered after x months.

Ratio of equivalent capitals for 1 month

= 64000 × 12 : 48000 (12 - x)

= 16 : (12 - x)

$16/{12 - x} =2/1$ ⇒ 24 - 2x = 16

2x = 8 ⇒ x = 4 months

Question : 4

A shopkeeper bought 15kg of rice at the rate of Rs.29 per kg and 25kg of rice at the rate of Rs.20 per kg. He sold the mixture of both types of rice at the rate of Rs.27 per kg. His profit in this transaction is

a) Rs.150

b) Rs.125

c) Rs.140

d) Rs.145

Answer: (d)

C.P. of 40kg of mixture

= Rs.(15 × 29 + 25 × 20)

= Rs.(435 + 500) = Rs.935

S.P. of 40kg of mixture

= 27 × 40 = Rs.1080

Gain = 1080 - 935 = Rs.145

Question : 5

A, B and C entered into a partnership. A invested Rs.2,560 and B Rs.2,000. At the end of the year, they gained Rs.1,105, out of which A got Rs.320. C’s capital was

a) Rs.2,840

b) Rs.4,280

c) Rs.4,820

d) Rs.4,028

Answer: (b)

Ratio of investment of A : B

= 2560 : 2000 = 32 : 25

Now, A gained = Rs.320

B gained = Rs.250

Total Profit = Rs.110

C gained = Rs.535

According to question,

$250/535 = 2000/\text"C's Capital"$

Hence, C's capital

= ${2000 × 535}/250$ = Rs.4280

Question : 6

The prices of a refrigerator and a television set are in the ratio 5 : 3. If the refrigerator costs Rs.5500 more than the television set, then the price of the refrigerator is:

a) Rs.8250

b) Rs.27500

c) Rs.13750

d) Rs.16500

Answer: (c)

CP of refrigerator = Rs.5x

CP of television = Rs.3x

2x = 5500 ⇒ x = $5500/2$ = 2750

CP of refrigerator = 5 × 2750 = Rs.13750

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