model 10 reduced/increased price of an article 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
(a) 36$5/9%$
(b) 35%
(c) 28$3/8$%
(d) 30$5/8%$
The correct answers to the above question in:
Answer: (d)
Cost of production of article = Rs.100 (let)
S.P. = Rs.133
New cost of production = Rs.112
S.P. = ${133 × 110}/100$ = Rs.146.30
Profit per cent = $({146.3 – 112}/112) × 100$
= ${34.3 × 100}/112 = 3430/112$
= $245/8 = 30{5}/8%$
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Read more reduce increase article price Based Quantitative Aptitude Questions and Answers
Question : 1
If the price of eraser is reduced by 25% a person can buy 2 more erasers for a rupee. How many erasers are available for a rupee ?
a) 4
b) 2
c) 8
d) 6
Answer »Answer: (c)
Cost of 2 erasers = 25% of 1
= $25/100$ × 1= Rs.$1/4$
Cost of one eraser = Rs.$1/8$
8 erasers will be available for Rs.1
Question : 2
If a man reduces the selling price of a fan from Rs.1,250 to Rs.1,000, his loss increases by 20%. The cost price of the fan is
a) Rs.2,500
b) Rs.2,350
c) Rs.2,400
d) Rs.2,450
Answer »Answer: (a)
Let the cost price of fan be Rs. x,
According to the question,
10% of x = 1250 – 1000
${x × 10}/100$ = 250
$x = {250 × 100}/10$ = Rs.2500
Note : Here, increase in loss should be 10%.
Question : 3
An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for Rs.40. The price of 15 mangoes before increase was
a) Rs.20
b) Rs.25
c) Rs.10
d) Rs.15
Answer »Answer: (b)
Let the original price of 1 mango be x.
New rate = 120% of x = ${6x}/5$
Number of mangoes bought in Rs.40 = $40/x$
New quantity = ${40 × 5}/{6x} = 100/{3x}$
$40/x – 100/{3x} = 4$
${120 – 100}/{3x} = 4 ⇒ 20/{3x} = 4$
3x = 5 ⇒ $x$ = Rs.$5/3$
Price of 15 mangoes before increase = $5/3 × 15$ = Rs.25
Question : 4
If the cost of pins reduces by Rs.4 per dozen, 12 more pins can be purchased for Rs.48. The cost of pins per dozen after reduction is:
a) Rs.16
b) Rs.20
c) Rs.8
d) Rs.12
Answer »Answer: (d)
Let the original price = x per dozen
New price = (x – 4) per dozen
Original number of pins = $48/x$ dozens
New number of pins = $48/{x – 4}$ dozens
According to the question,
$48/{x -4} – 48/x = 1$
⇒ $48({x – x + 4}/{x(x - 4)})$= 1
⇒ x (x – 4) = 48 × 4
⇒ $x^2 – 4x – 192 = 0$
⇒ $x^2 – 16x + 12x – 192$ = 0
⇒ x (x – 16) + 12 (x – 16) = 0
⇒ (x – 16) (x + 12) = 0
⇒ x = 16, because the price of pins can not be negative.
x ≠–12
New price = 16 – 4 = Rs.12 per dozen
Question : 5
A trader bought 10 kg of apples for Rs.405 out of which 1 kg of apples were found to be rotten. If he wishes to make a profit of 10%, at what rate should he sell the remaining apples per kg?
a) Rs.50
b) Rs.51
c) Rs.45
d) Rs.49.50
Answer »Answer: (d)
Selling price = 405 × 110% = Rs.445.50
Remaining apples = 10 – 1= 9 kg
Therefore, the remaining apples (per kg) cost
=$445.50/9$ = Rs.49.50
Question : 6
The reduction of 12 in the selling price of an article will change 5% gain into 2$1/2%$ loss. The cost price of the article is
a) Rs.80
b) Rs.100
c) Rs.140
d) Rs.160
Answer »Answer: (d)
If the C.P. of article be Rs.x, then
$x × (105 – {195}/2)$% = 12
$x × 15/200 = 12 ⇒ x = {12 × 200}/15$ = Rs.160
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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