model 11 ratio & partnership Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC CHSL 2012]

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 : 12 [SSC SO 2006]

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 : 13 [SSC CHSL 2012]

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 : 14 [SSC SO 2007]

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 : 15 [SSC CHSL 2012]

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

IMPORTANT quantitative aptitude EXERCISES

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