model 4 sold & brought Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26 [SSC CGL Tier-1 2011]

A man bought oranges at the rate of 8 for Rs.34 and sold them at the rate of 12 for Rs.57. How many oranges should be sold to earn a net profit of Rs.45 ?

a) 100

b) 135

c) 90

d) 150

Answer: (c)

Let the man buys 24 (LCM of 8 and 12) oranges.

C.P. of 24 oranges = $34/8 × 24$ = Rs.102

S.P. of 24 oranges = $57/12 × 24$ = Rs.114

Gain = 114 - 102 = Rs.12

Since, Rs.12 ≡ 24 oranges

Rs.45 ≡ $24/12 × 45$ = 90 oranges

Question : 27 [SSC CPO 2011]

A person bought 50 pens for 50 each. He sold 40 of them at a loss of 5%. He wants to gain 10% on the whole. Then his gain percent on the remaining pens should be

a) 40%

b) 50%

c) 15%

d) 70%

Answer: (d)

C.P. of 50 pens = 50 × 50 = Rs.2500

For profit of 10%,

S.P. = ${2500 × 110}/100$ = Rs.2750

S.P. of 40 pens at a loss of 5%

= ${40 × 50 × 95}/{100}$ = Rs.1900

S.P. of remaining 10 pens = 2750 - 1900 = Rs.850

Gain % = ${850 - 500}/500 × 100$ = 70 %

Question : 28 SSC FCI Assistant Grade-III 2012]

If toys are bought at Rs.5 each and sold at Rs.4.50 each, then the loss percent is :

a) 11%

b) 12%

c) 10%

d) 13%

Answer: (c)

Loss = 5 - 4.50 = 0.50

Loss percent = ${0.50}/5 × 100$ = 10%

Using Rule 13,

Here, a = b, x = 5a, y = 4.50a

Loss % = $({ay - bx}/{bx})$ × 100%

= $({4.50a^2 - 5a^2}/{5a^2})$ × 100%

= $({-0.5a^2}/{5a^2})$ × 100%

= 10% (–ve sign shows loss)

Question : 29 [SSC DEO 2008]

By selling 14 watches of equal cost price at the rate of Rs.450 each, there is a profit equal to the cost price of 4 watches. The cost price of a watch is

a) Rs.360

b) Rs.375

c) Rs.350

d) Rs.400

Answer: (c)

Using Rule 1,

Let the CP of each watch be x.

CP of 14 watches = 14x

and SP of 14 watches = Rs.6300

According to the question,

6300 - 14x = 4x

18x = 6300 ⇒ x = $6300/18$ = Rs.350

Question : 30 [SSC DEO 2009]

A man buys some articles at Rs.P per dozen and sells them at Rs.$P/8$ per piece. His profit per cent is

a) 40%

b) 50%

c) 30%

d) 60%

Answer: (b)

Using Rule 1,

CP of each article = Rs.$P/12$ and SP = Rs.$P/8$

Gain = $P/8 - P/12 = {3P - 2P}/24 = P/24$

Gain per cent = ${P/24}/{P/12}$ × 100 = 50%

IMPORTANT quantitative aptitude EXERCISES

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