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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New 249+ Profit and Loss Questions and Answers for TNPSC »
The following question based on profit & loss topic of quantitative aptitude
(a) Rs.32
(b) Rs.48
(c) Rs.36
(d) Rs.40
The correct answers to the above question in:
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
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Read more sold at loss Based Quantitative Aptitude Questions and Answers
Question : 1
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
Answer »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
Question : 2
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 »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 : 3
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 »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 : 4
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 »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 : 5
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 »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 : 6
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 »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
GET profit & loss PRACTICE TEST EXERCISES
Model 1 Basic Concepts of C.P and S.P
model 2 gain lost percentage
model 3 gain/loss % with C.P/S.P
model 4 sold & brought
model 5 marked price
model 6 sold in circular path
model 7 sold at loss
model 8 two article sold in different rates
model 9 selling an article & interchanging its values
model 10 reduced/increased price of an article
model 11 ratio & partnership
profit & loss Shortcuts and Techniques with Examples
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Model 1 Basic Concepts of C.P and S.P
Defination & Shortcuts … -
model 2 gain lost percentage
Defination & Shortcuts … -
model 3 gain/loss % with C.P/S.P
Defination & Shortcuts … -
model 4 sold & brought
Defination & Shortcuts … -
model 5 marked price
Defination & Shortcuts … -
model 6 sold in circular path
Defination & Shortcuts … -
model 7 sold at loss
Defination & Shortcuts … -
model 8 two article sold in different rates
Defination & Shortcuts … -
model 9 selling an article & interchanging its values
Defination & Shortcuts … -
model 10 reduced/increased price of an article
Defination & Shortcuts … -
model 11 ratio & partnership
Defination & Shortcuts …
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