model 8 two article sold in different rates 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) 10% decrease
(b) 10% increase
(c) 5% decrease
(d) 5% increase
The correct answers to the above question in:
Answer: (a)
Using Rule 7,If a% loss and b% profit occur then, total loss/profit is $(-a + b - {ab}/100)$%(negative sign for loss and positive sign for profit)
Required per cent effect
= $(20 - 25 - {20 × 25}/100)%$
=( - 5 - 5)% = - 10% (10% decrease)
Negative sign shows decrease
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Read more 2 articles sold in diff rates Based Quantitative Aptitude Questions and Answers
Question : 1
A man bought two goats for Rs.1008. He sold one at a loss of 20% and other at a profit of 44%. If each goat was sold for the same price, the cost price of the goat which was sold at loss, was :
a) Rs.440
b) Rs.568
c) Rs.360
d) Rs.648
Answer »Answer: (d)
If x and y be the cost price of two goats, then,
80% of x = 144% of y
$x/y = 144/80 = 9/5$
i.e., x : y = 9 : 5
Sum of the ratios = 9 + 5 = 14
Cost of first goat = Rs.$(9/14 × 1008)$ = Rs.648
Question : 2
A shopkeeper sells an article at 15% gain. Had he sold it for Rs.18 more, he would have gained 18%. The cost price (in Rs.) of the article is
a) 350
b) 600
c) 318
d) 540
Answer »Answer: (b)
C.P. of article be Rs.x
(118 - 115)% of x = 18
${x × 3}/100 =18 ⇒ x = {18 ×100}/3$ = Rs.600
Using Rule 11,A man sells his items at a profit/loss of x%.If he had sold it for Rs. R more,he would have gained/lost y%. Then. C.P. of items = $R/{(y ± x)}$ × 100'+' = When one is profit and other is loss.' - ' = When both are either profit or loss.
Here, x = 15%, R= 18, y = 18%
C.P. = ${R × 100}/{y - x}$
= ${18 ×100}/{18 -15}$ = Rs.600
Question : 3
A television and a refrigerator were sold for Rs.12,000 each. If the television was sold at a loss of 20% of the cost and the refrigerator at a gain of 20% of the cost, the entire transaction resulted in
a) Loss of Rs.1,200
b) Gain of Rs.1,000
c) Loss of Rs.1,000
d) No loss or gain
Answer »Answer: (c)
CP of Television = ${12,000}/80 × 100$ = Rs.15000
CP of refrigerator = ${12,000}/120 × 100$ = Rs.10,000
Total C.P. = 15000 + 10,000 = Rs.25000
SP of both = Rs.24,000
∴ Loss = 25,000 - 24,000 = Rs.1000
Question : 4
A man bought a horse anda carriage for Rs.40,000. He sold the horse at a gain of 10 % and the carriage at a loss of 5%. He gained 1% on his whole transaction. The cost price of the horse was :
a) Rs.20000
b) Rs.18000
c) Rs.16000
d) Rs.15000
Answer »Answer: (c)
If the C.P. of horse be Rs.x, then
C.P. of carriage = Rs.(40000 - x) Then,
${110 × x}/100 + {(40000 - x) × 95}/100 = {40000 × 101}/100$
110x + 3800000 - 95x = 4040000
15x = 4040000 - 3800000
15x = 240000 ⇒ x = $240000/15$ = Rs.16000
Question : 5
A cloth merchant sold half of his cloth at 20% profit, half of the remaining cloth at 20% loss and the rest was sold at his cost price. In the total transaction, his gain or loss will be
a) 10% profit
b) 5% loss
c) Neither loss nor gain
d) 5% profit
Answer »Answer: (d)
Total CP = Rs.100
Total SP = Rs.$({50 × 120}/100 + {25 × 80}/100 + 25)$
= Rs.(60 + 20 + 25) = Rs.105
Gain% = 5% $[{105 - 100}/100 × 100]$
Question : 6
A dealer sold two types of goods for Rs.10,000 each. On one of them, he lost 20% and on the other he gained 20%. His gain or loss per cent in the entire transaction was
a) 4% loss
b) 4% gain
c) 2% gain
d) 2% loss
Answer »Answer: (a)
Using Rule 10,
Here, S.P. is same. Hence there is always a loss.
Loss per cent = ${20 × 20}/100$ = 4%
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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