model 7 sold at loss Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26 [SSC CGL Prelim 2002]

If an article is sold at 5% gain instead of 5% loss, the man gains Rs.5 more. Find the cost price of that article

a) Rs.100

b) Rs.110

c) Rs.105

d) Rs.50

Answer: (d)

Let the C.P. be Rs.x

x (5% + 5%) = 5 [Being 5% gain]

100% = $5/10 × 100$ = Rs.50

Using Rule 11,

Here, x = 5%, R= Rs.5, y = 5%

C.P. = ${R × 100}/{y + x}$

= ${5 × 100}/{5 + 5}$ = Rs.50

Question : 27 [SSC MTS 2013]

By selling 4 articles for 1 rupee, a man loses 4%. Had he sold three articles per rupee, the profit would have been :

a) 30%

b) 12%

c) 28%

d) 16%

Answer: (c)

C.P. of 1 article

= $1/4 × 100/96$ = Rs.$25/96$

C.P. of 3 articles = Rs.$75/96$

Gain = 1 - $75/96$

=${96 - 75}/96 = 21/96 = 7/32$

Gain per cent = ${7/32}/{75/96}$ × 100

= $7/32 × 96/75 × 100$ = 28%

Question : 28 [SSC DEO 2008]

A man sold an article at a loss of 20%. If he had sold it for Rs.50 more, he would have gained 5%. The cost price of the article was

a) Rs.250

b) Rs.200

c) Rs.300

d) Rs.180

Answer: (b)

Let the CP of the article be Rs.x

SP of the article at 20% loss

= $x × 80/100 = {4x}/5$

In second case,

${4x}/5 + 50 = {105x}/100$

${4x}/5 + 50 = {21x}/20$

${21x}/20 - {4x}/5 = 50$

${21x - 16x}/20 = 50$

${5x}/20$ = 50 ⇒ x = Rs.200

Using Rule 11,
A man sells his items at a profit/loss of x%.
If he had sold it for Rs. R more,
he would have gained/lost y%.
Then. C.P. of items = $R/{(y ± x)}$ × 100
'+' = When one is profit and other is loss.
'–' = When both are either profit or loss.

Here, x = 20%, R= 50, y = 5%

C.P. = ${R × 100}/{y + x}$

= ${50 × 100}/{20 + 5}$

$= {50 × 100}/25$ = Rs.200

Question : 29 [SSC CAPFs SI 2013]

An article was sold at 16% gain. Had it been sold for Rs.200 more, the gain would have been 20%. Then the cost price of the article is:

a) Rs.5000

b) Rs.5200

c) Rs.4800

d) Rs.4500

Answer: (a)

If the C.P. of article be Rs.x, then

$x × 116/100 + 200 = {x × 120}/100$

$x × 4/100$ = 200

$x = {200 × 100}/4$ = Rs.5000

Using Rule 11,

Here, x = 16%, R= 200, y = 20%

C.P. = ${R × 100}/{y - x}$

= ${200 × 100}/{20 - 16}$ = Rs.5000

Question : 30 [SSC CGL Tier-I 2016]

A T.V was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs.1000 more. What is its cost price ?

a) Rs.20000

b) Rs.15000

c) Rs.5000

d) Rs.10000

Answer: (a)

Let the C.P. of television be Rs.x.

According to the question,

(10 - 5)% of x = 1000

x × $5/100$ = 1000

$x = {1000 × 100}/5$ = Rs.20000

IMPORTANT quantitative aptitude EXERCISES

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