model 7 sold at loss Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on profit & loss topic of quantitative aptitude

Questions : A shopkeeper sells an article at a loss of 12$1/2%$. Had he sold it for Rs.51.80 more, he would have earned a profit of 6%. The cost price of the article is

(a) Rs.280

(b) Rs.400

(c) Rs.300

(d) Rs.380

The correct answers to the above question in:

Answer: (a)

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

S.P. = ${175x}/200$

New S.P. = Rs.$({7x}/8 + 51.80)$

${175x}/200 + 51.8 = 106/100 × x$

${106x}/100 - {175x}/200 = 51.8$

${212x - 175x}/200 = 51.8$

37 x = 51.8 × 200

$x = {51.8 × 200}/37$ = Rs.280

Using Rule 11,

Here, x = 12.5%, R = Rs.51.80, y = 6%

C.P. = ${R × 100}/{y + x}$

= ${51.80 × 100}/{12.5 + 6}$

= $5180/{18.5}$ = Rs.280

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Read more sold at loss Based Quantitative Aptitude Questions and Answers

Question : 1

The profit obtained by selling an article for Rs.625 is same as the loss incurred if it is sold for Rs.545. The price at which it is to be sold to realize a profit of Rs. 65 on the cost price is

a) Rs.640

b) Rs.660

c) Rs.630

d) Rs.650

Answer: (d)

Let C.P. of article be Rs.x.

According of the question,

625 - x = x - 545

2 x = 625 + 545 = 1170

x = $1170/2$ = Rs.585

Required S.P. = Rs.(585 + 65) = Rs.650

Question : 2

A man sells an article at 10% loss. If he had sold it at Rs.10 more, he would have gained 10%. The cost price of the article is

a) Rs.50

b) Rs.110

c) Rs.55

d) Rs.100

Answer: (a)

Let the C.P be Rs.x.

First selling price = 90% of x = Rs.${9x}/10$

Second selling price = $({9x}/10 + 10)$

110% of $x = ({9x}/10 + 10)$

${11x}/10 = {9x}/10 + 10 ⇒ {2x}/10 = 10$

$x = {10 × 10}/2 = 50 = Rs.50$

Using Rule 11,

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

C.P. = ${R × 100}/{y + x}$

= ${10 × 100}/{10 + 10}$ = Rs.50

Question : 3

A man purchased 150 pens at the rate of Rs.12 per pen. He sold 50 pens at a gain of 10%. The percentage gain at which he must sell the remaining pens so as to gain 15% on the whole outlay is

a) 21$1/2%$

b) 17$1/2%$

c) 20%

d) 17%

Answer: (b)

Required S.P. of 150 pens.

= 150 × 12 × $115/100$ = Rs.2070

S.P. of first 50 pens

= ${50 × 12 × 110}/100$ = Rs.660

Required S.P. of 100 pens

= 2070 - 660 = Rs.1410

C.P. of 100 pens = Rs.1200

Gain per cent = $210/1200 × 100$

= $35/2 = 17{1}/2%$

Question : 4

A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs.2 less, then he would have gained 16$2/3%$. The cost price of the commodity is

a) Rs.32

b) Rs.48

c) Rs.36

d) Rs.40

Answer: (d)

Let the first CP of the commodity be Rs.100.

First SP = Rs.110; Second CP = Rs.90

Gain% = $50/3%$

Second SP = $(100 + 50/3)%$ of 90

= Rs.$(90 × 350/300)$ = Rs.105

Difference of first and second S.P.

= Rs.(110–105) = Rs.5

Since, If the difference is Rs.5, the CP = Rs.100.

Since, If the difference be Rs.2, the

CP = $100/5 × 2$ = Rs.40

Question : 5

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 : 6

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

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