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

Question : 11 [SSC SO 2005]

A man sold an article at a loss of 20%. If he has sold that article for Rs.12 more he would have gained 10%. Find the cost price of that article :

a) Rs.60

b) Rs.22

c) Rs.40

d) Rs.30

Answer: (c)

Simple Approach

80% x + 12 = 110%

Let x be the cost price

30% x = 12 = $12/30 × 100$ = Rs.40

Using Rule 11,

Here, x = 20%, R= 12, y = 10%

C.P. = ${R × 100}/{y + x}$

= ${12 × 100}/{20 + 10}$ = Rs.40

Question : 12 [SSC MTS 2013]

A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for Rs.4 less, he would have gained 25%. The cost price of the article is

a) Rs.140

b) Rs.185

c) Rs.150

d) Rs.160

Answer: (d)

C.P. of article be Rs.x

S.P. at 15% gain

= ${115x}/100 = {23x}/20$

New C.P. = Rs.${90x}/100$

New S.P. = Rs.${90x}/100 × 125/100$ = Rs.${9x}/8$

${23x}/20 - {9x}/8 = 4$

${46x - 45x}/40 = 4$

x = 40 × 4 = Rs.160

Question : 13 [SSC CGL Tier-II 2013]

An article is sold at a gain of 15%. Had it been sold for Rs.27 more, the profit would have been 20%. The cost price of the article is

a) Rs.500

b) Rs.545

c) Rs.700

d) Rs.540

Answer: (d)

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

${120x}/100 - {115x}/100 = 27$

${5x}/100 = 27$

$x = {27 × 100}/5$ = Rs.540

Using Rule 11,

Here, x = 15%, R= Rs.27, y = 20%

C.P. = ${R × 100}/{y - x}$

= ${27 × 100}/{20 - 15}$

= ${27 × 100}/5$ = Rs.540

Question : 14 [SSC MTS 2013]

An article is sold at a loss of 10%. Had it been sold for Rs.90 more, there would have been a gain of 5%. The original sale price of the article (in Rs.) is :

a) 540

b) 650

c) 600

d) 628

Answer: (a)

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

${105x}/100 - {90x}/100$ = 90

${15x}/100 = 90$

$x = {90 × 100}/15$ ⇒ x = Rs.600

Original S.P. = ${600 × 90}/100$ = Rs.540

Question : 15 [SSC CGL Prelim 2005]

If an article is sold for Rs.178 at a loss of 11%, what should be its selling price in order to earn a profit of 11% ?

a) Rs.222.50

b) Rs.220

c) Rs.267

d) Rs.222

Answer: (d)

The article is sold at 11% loss.

89% of CP = Rs.178

CP = Rs.${178 × 100}/89$ = Rs.200

To gain 11%,

S.P. = 111% of Rs.200

= Rs.$111/100 × 200$ = 222

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