Practice Basic cp and sp - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) If the cost price is 95% of the selling price, what is the profit per cent ?
(a)
(b)
(c)
(d)
If the cost price be Rs.x, then
S.P. = $100/95x = Rs.20/19x$
Gain = ${20x}/19 - x = Rs.x/19$
Gain per cent = ${x/19}/x × 100 = 5.26%$
Using Rule 3,
Here C.P. = $95/100$ S.P.
C.P. = S.P.$(100/{100 + Profit%})$
$95/100$ S.P.
= S.P.$(100/{100 + Profit%})$
9500 + 95 profit% = 10000
Profit % = $500/95$ = 5.26%
Q-2) A man bought an old typewriter for Rs.1200 and spent Rs.200 on its repair. He sold it for Rs.1680. His profit per cent is :
(a)
(b)
(c)
(d)
Using Rule 1,
Total cost of typewriter = Rs. (1200 + 200) = Rs.1400
S.P. = Rs.1680
Profit = Rs. (1680 - 1400) = Rs.280
Profit % = $280/1400 × 100 = 20%$
Q-3) If a shirt costs Rs.64 after 20% discount is allowed, what was its original price in Rs.?
(a)
(b)
(c)
(d)
If the original cost of shirt be x, then
$x × 80/100 = 64$
$x = {64 × 100}/80$ = Rs.80
Q-4) If the cost price of an article is 80% of its selling price, the profit per cent is :
(a)
(b)
(c)
(d)
Using Rule 1,
S.P. = Rs.100; C.P. = Rs.80
Gain = Rs.20
∴ Gain per cent = $20/80 ×100$ = 25%
Q-5) By selling 33 metres of cloth, a person gains the cost of 11 metres. Find his gain%.
(a)
(b)
(c)
(d)
Gain per cent
= $11/33 × 100 = 100/3 = 33{1}/3$%
Q-6) A retailer buys a radio for Rs.225. His overhead expenses are Rs.15. He sells the radio for Rs.300. The profit per cent of the retailer is :
(a)
(b)
(c)
(d)
Using Rule 1,
Actual C.P. = 225 + 15 = Rs.240
Gain = 300 - 240 = Rs.60
Gain per cent = $60/240 × 100 = 25%$
Q-7) While selling to the retailer, a company allows 30% discount on the marked price of their products. If the retailer sells those products at marked price, his profit % will be :
(a)
(b)
(c)
(d)
If the marked price of the product be Rs.100, then
C.P. = Rs.70; S.P. retailer = Rs.100
∴ Gain per cent
= $30/70 × 100 = 300/7= 42{6}/7$%
Q-8) Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The per centage of profit earned by Krishnan on the original price was
(a)
(b)
(c)
(d)
Let the original price be Rs.x.
= $80/100 × x = Rs.{4x}/5$
SP = ${4x}/5 × 140/100 = Rs.{28x}/25$
Gain on original price
=${28x}/25 - x ={3x}/25$
∴ Gain % = ${3x}/{25x}$ × 100 = 12%
Q-9) Nisha bought a number of oranges at 2 for a rupee and an equal number at 3 for a rupee. To make a profit of 20% she should sell a dozen for
(a)
(b)
(c)
(d)
Total oranges bought = 12 (let)
Their cost price = 3 + 2 = Rs.5
For profit of 20%,
S. P. = ${5 × 120}/100$ = Rs.6
Q-10) The total cost of 8 buckets and 5 mugs is Rs.92 and the total cost of 5 buckets and 8 mugs is Rs.77. Find the cost of 2 mugs and 3 buckets.
(a)
(b)
(c)
(d)
C.P. of 1 bucket = x
C.P. of 1 mug = y
8x + 5y = 92 .....(i)
5x + 8y = 77 .....(ii)
By using equation (i) × 5 - equation (ii) × 8,
40x + 25y - 40x - 64y
= 460 - 616
- 39y = - 156 ⇒ y = 4
From equation (i),
8x + 20 = 92
8x = 92 - 20 = 72 ⇒ x = 9
C.P. of 2 mugs and 3 buckets
= 2 × 4 + 3 × 9
= 8 + 27 = Rs.35