model 3 gain/loss % with C.P/S.P Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (a)

Let the C.P. of article be x,

then, 425 - x = x - 355

2x = 425 + 355 = 780

x = $780/2$ = Rs.390

Answer: (c)

Let the CP of the article be x Gain % = x%

${39 - x}/x × 100$

$3900 - 100x = x^2$

$x^2 + 100x - 3900$ = 0

$x^2 + 130x - 30x - 3900$ = 0

x (x + 130) - 30 (x + 130) = 0

(x - 30) (x + 130) = 0

x = 30 as x cannot be negative

Answer: (a)

$20/100 = 1/5 = \text"C.P.- S.P."/\text"S.P."$

$5x_1 - 5y = y$

Where C.P. = Rs.$x_1$; S.P. = Rs.y

$5x_1$ = 6y ⇒ y = Rs.$5/6x_1$

$x = {x_1 - {5/6}x_1}/{x_1} × 100$

= $x_1/{6x_1} × 100 = 50/3 = 16{2}/3%$

Answer: (a)

S.P. of 36 oranges

= C.P. of 36 oranges - S.P. of 4 oranges

S.P. of 40 oranges = C.P. of 36 oranges

Loss per cent = $4/40 × 100 = 10%$

Using Rule 9,

Here, x = 36, y = 4

Here, loss % = ${y × 100}/{x + y}$

= ${4 × 100}/{36 + 4}$ = 10%

Answer: (d)

CP of 144 hens - SP of 144 hens = Loss = SP of 6 hens

SP of 150 hens = CP of 144 hens

Let CP of each hen = Rs.1

CP of 150 hens = Rs.150

SP of 150 hens = Rs.144

Loss% = $6/150$ × 100 = 4%

Here, x = 144, y = 6

∴ Loss% = ${y × 100}/{x + y}$

= $600/{144 + 6}$

= $600/150$ = 4%

Answer: (a)

S.P. of 3 articles

= C.P. of 21 articles - S.P. of 21 articles

S.P. of 24 articles = C.P. of 21 articles

Loss percent = ${24 - 21}/24 × 100 = 12{1}/2%$

Using Rule 9,

Here, x = 21, y = 3

∴ Loss% = ${y × 100}/{x + y}$

= ${3 × 100}/{21 + 3} = 100/8$

= $25/2 = 12{1}/2%$