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 199+ Profit & Loss Aptitude MCQs with Basic C.P & S.P »
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Top 250+ Profit & Loss Problems with Gain Lost Percentage »
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249+ Profit & Loss Aptitude MCQs Gain Lost % with C.P S.P »
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189+ Profit Loss Aptitude Sold Bought Practice MCQ Test »
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Top 179+ Profit & Loss Aptitude Practice Test for Bank Exam »
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New 189+ Profit and Loss Aptitude MCQs for All Govt Exams »
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189+ Profit and Loss Questions for All Competitive Exams »
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New 199+ Profit and Loss MCQ Test with Shortcuts, Tricks »
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Top 199+ Profit and Loss Aptitude Practice Test For UPSC »
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New 249+ Profit and Loss Questions and Answers for TNPSC »
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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.1,600
(b) Rs.800
(c) Rs.1,200
(d) Rs.1,000
The correct answers to the above question in:
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
Discuss Form
Read more sold at loss Based Quantitative Aptitude Questions and Answers
Question : 1
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 »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 : 2
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 »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 : 3
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
Question : 4
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 »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
Question : 5
Yogita sold a plasma TV at 20% gain to Shyamla. Shyamla sold it to Deepa at 10% profit. If Deepa had to pay Rs.33,000 for the plasma TV, find the cost price of the plasma TV for Yogita.
a) Rs.30,000
b) Rs.40,000
c) Rs.25,000
d) Rs.35,000
Answer »Answer: (c)
C.P. of T.V. for Yogita = Rs.x (let)
According to question,
$x × 120/100 × 110/100$ = 33000
$x = {33000 × 100 × 100}/{120 × 110}$ = Rs.25000
Using Rule 15,If A sells an article to B at a profit (loss) of $r_1$% and B sells the same article to C at a profit (loss) of $r_2$% then the cost price of article for C will be given byC.P of article for C= C.P. of A × $({1 ± r_1}/100)({1 ± r_2}/100)$(Positive and negative sign conventions are used for profit and loss.)
Here, $ r_1 = 20%, r_2 = 10%$
C.P. for Deepa = C.P. for yogita
$({1 + r_1}/100)({1 + r_2}/100)$
33000 = C.P. for Yogita
$(1 + 20/100) (1 + 10/100)$
C.P. for Yogita = ${33000 × 100 × 100}/{120 × 110}$ = Rs.25,000
Question : 6
On selling an almirah for Rs.2576, a person got a profit of 12%. Had it been bought for Rs.100 less, the profit per cent would have been
a) 11$1/9%$
b) 17$9/11%$
c) 13$1/3%$
d) 17$1/11%$
Answer »Answer: (d)
CP of the article
= $(100/112 × 2576)$ = Rs.2300
New CP = Rs.2200
Gain per cent
= ${2576 - 2200}/2200 × 100 = 17{1}/11$
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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