model 11 ratio & partnership Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (b)

Using Rule 1,

Let Cost price = 10x

Selling price = 11x

Gain per cent = ${11x - 10x}/{10x} × 100$

= $x/{10x} × 100 = 10%$

Answer: (d)

If the C.P. of the mixture be Rs.x per kg, then

$x = 120/100 = 32.40$

x = ${32.40 × 100}/120 = 27$

∴ Required ratio = 2 : 5

Answer: (c)

Let C.P. be 100 then,

S.P. = 105 [gain being 5%]

Required ratio = 105 : 100 = 21 : 20

Using Rule 3,

$\text"C.P."/\text"S.P."= 100 /{100 + \text"Profit%"} = 100/{100 + 5}$

= $100/105 = 20/21$ = 20 : 21

Answer: (a)

Let the profit be x

According to question,

$(1 - 1/3 - 1/4)x$ = Rs.5000

or $({12 - 4 - 3}/12)x$ = Rs.5000

$5/12x$ = Rs.5000

x = ${5000 × 12}/5$

= $1/3 = {5000 × 12}/{5 × 3}$ = Rs.4000

Answer: (b)

Share of rent = (number of oxen × time)

A : B : C = (10 × 7) : (12 × 5) : (15 × 30)

A : B : C = 70 : 60 : 45

A : B : C = 14 : 12 : 9

C’s share of rent = $9/{14 + 12 + 9} × 175$

= $9/35 × 175$ = 45

C’s share of rent is Rs.45

Answer: (b)

According to the question

$\text"Cost price"/ \text"Selling price" = 5/4$

Selling price = $4/5$ × Cost price

Loss = Cost price - Selling price

= Cost price - $4/5$ Cost price = $1/5$ Cost price

Loss % = ${{1/5}\text"Cost price" × 100}/\text"Cost price" = 100/5 = 20%$

Method 2 : Simple Approach

Rs.1 is loss on Rs.5.

loss % = $1/5$ × 100 = 20%

Here, C.P. = 5x, S.P. = 4x

Loss% = $\text"Loss"/ \text"C.P."$ × 100

= ${5x - 4x}/{5x}$ × 100 = 20%