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

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

Questions : 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

The correct answers to the above question in:

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

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Read more ratio partnership Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

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

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

Question : 3

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 : 4

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

Question : 5

The cash difference between selling prices of an article at a profit of 4% and 6% is Rs.3. The ratio of the two selling prices is

a) 52 : 53

b) 51 : 52

c) 51 : 53

d) 52 : 55

Answer: (a)

Let the C.P. be x

(6 - 4)% of x = 3

2% of x = 3 ⇒ x =$300/2$ = 150

S.P. at 4% gain = ${150 × 104}/100$ = Rs.156

and S.P. at 6% gain = ${150 × 106}/100$ = Rs.159

The required ratio = 156 : 159 = 52 : 53

Question : 6

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%

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