Practice Selling article changing values - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) A loss of 20% is incurred when 6 articles are sold for a rupee. To gain 20% how many articles should be sold for a rupee ?
(a)
(b)
(c)
(d)
100% = 6
C.P. = 80% = $6/100 × 80 = 24/5$
Now, 120% = $24/5$
100% = ${24 × 100}/{5 × 120}$ = 4
Q-2) By selling 80 ball pens for Rs.140 a retailer loses 30%. How many ball pens should he sell for Rs.104 so as to make a profit of 30%?
(a)
(b)
(c)
(d)
Using Rule 3,
C.P. of 80 ball pens = $140 × 100/70$ = Rs.200
For a gain of 30%
S.P. = ${200 × 130}/100$ = Rs.260
Since, Rs.260 = 80 ball pens
Rs.104 = $80/260 × 104$ = 32
Q-3) By selling 90 ball pens for Rs.160 a person loses 20%. The number of ball pens, which should be sold for Rs.96 so as to have a profit of 20% is
(a)
(b)
(c)
(d)
Using Rule 3,
C.P. of 90 ball pens
= $100/80$ × 160 = Rs.200
S.P. for a gain of 20%
= ${200 × 120}/100$ = Rs.240
Since, Rs.240 = 90 ball pens
Rs.96 = $90/240$ × 96 = 36
Q-4) The selling price of an article is $8/5$th of its cost price. Then the gain percentage is
(a)
(b)
(c)
(d)
C.P. of article = Rs.x
Its S.P. = Rs.${8x}/5$
Profit = ${8x}/5 - x$
= ${8x - 5x}/5$ = Rs.${3x}/5$
Profit per cent = ${{3x}/5}/x × 100$
= $3/5$ × 100 = 60%
Q-5) Sourav purchased 30 kg of rice at the rate of Rs.10 per kg and 35 kg at the rate of Rs.11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction ?
(a)
(b)
(c)
(d)
Total cost of rice
= Rs.(3 × 10 + 35 × 11)
= Rs.(300 + 385) = Rs.685
Required S.P. = Rs. $({685 × 130}/100)$
Rate per kg = ${685 × 130}/{65 × 100}$ = Rs.13.7
Q-6) Mr. Y purchased a flat for Rs.9,25, 000 and spent Rs.35, 000 for its renovation. If he sold the flat for 10, 80, 000 then his profit percent is
(a)
(b)
(c)
(d)
Actual cost price of flat
= Rs.(925000 + 35000) = Rs.960000
S.P. = Rs.1080000
Profit = Rs. (1080000 - 960000) = Rs.120000
Profit percent= $120000/960000 × 100$ = 12.5%
Q-7) By selling an article for Rs.72, there is a loss of 10%. In order to gain 5%, its selling price should be :
(a)
(b)
(c)
(d)
C.P. of that article
= $72 × 100/{100 - 10} = {72 × 100}/90$ = Rs.80
S.P. of that article on 5% gain
= $80 × 105/100$ = Rs.84
Q-8) By selling a basket for Rs.19.50, a shopkeeper gains 30%. For how much should he sell it to gain 40% ?
(a)
(b)
(c)
(d)
Let CP of basket be Rs.x.
130% of x = 19.50
${130 × x}/100 = 19.50$
$x = {19.50 × 100}/130$ = Rs.15
For 40% gain,
SP = ${140 × 15}/100$ = Rs.21
Using Rule 3
C.P. = S.P.$({100 + Profit%}/100)$
= ${19.50 × 100}/{100 + 30}$
= $1950/130$ = Rs. 15
New S.P. = C.P.$({100 + Profit%}/100)$
= $15({100 + 40}/100)$
= ${15 × 140}/100 = 210/10$ = Rs.21
Q-9) If a man were to sell his wristwatch for Rs.720, he would lose 25%. What price must he sell at for to gain 25% ?
(a)
(b)
(c)
(d)
C.P. of wrist watch = ${720 × 100}/75$ = Rs.960
Required S.P. = ${960 × 125}/100$ = Rs.1200
Q-10) By selling a fan for Rs.600, a man loses 10%. To make a gain of 20%, the selling price of the fan should be
(a)
(b)
(c)
(d)
C.P. of fan = Rs.$({600 × 100}/90)$
Required S.P. = ${600 × 100}/90 × 120/100$ = Rs.800
Using Rule 3,
C.P. = S.P.$(100/{100 - Loss%})$
= ${600 × 100}/{100 - 10}$
C.P. = $60000/90 = 6000/9$
New S.P. = C.P. × $({100 + Profit%}/100)$
= $6000/9({100 + 20}/100) = {60 × 120}/9$ = Rs.800