model 7 sold at loss 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 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

The correct answers to the above question in:

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

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Read more sold at loss Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

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 : 3

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

Question : 4

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 : 5

A man sells his typewriter at 5% loss. If he sells it for Rs.80 more, he will gain 5%. The cost price of the typewriter is

a) Rs.1,600

b) Rs.800

c) Rs.1,200

d) Rs.1,000

Answer: (b)

Let the CP of the typewriter be Rs.x.

At 5% loss, SP = ${95x}/100$

Now, ${95x}/100 + 80 = {105x}/100$

${105x}/100 - {95x}/100 = 80$

${105x - 95x}/100 = 80$

$x = 8000/10$ = Rs.800

Using Rule 11,

Here, x = 5%, R = 80, y = 5%

C.P. = ${R × 100}/{y + x}$

= ${80 × 100}/{5 + 5}$ = Rs.800

Question : 6

A cooker is sold at a gain of 16%. If it has been sold for Rs.20 more, 20% would have been gained. The cost price of the cooker is

a) Rs.350

b) Rs.600

c) Rs.400

d) Rs.500

Answer: (d)

Let the CP of the cooker be Rs.x.

Initial SP = ${116x}/100$

Again, SP = $({116x}/100 + 20)$

${116x}/100 + 20 = {120x}/100$

116x + 2000 = 120x

4x = 2000 ⇒ $x = 2000/4$ = Rs.500

Using Rule 11,

Here, x = 16%, R = 20, Y = 20%

C.P. = ${R × 100}/{y - x}$

= ${20 × 100}/{20 - 16}$ = Rs.500

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