model 11 ratio & partnership Practice Questions Answers Test with Solutions & More Shortcuts
profit & loss PRACTICE TEST [11 - 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
Question : 26 [SSC CGL Prelim 2007]
The ratio of cost price and selling price of an article is 8 : 9. The profit per cent is
a) 15%
b) 20%
c) 12.5%
d) 10%
Answer »Answer: (c)
Using Rule 1,
If S.P > C.P. then there will be profit
Profit = S.P. - C.P.
Profit% = ${\text"Profit" × 100}/{\text"C.P."}$
Let the CP = 8x and SP = 9x
Profit = (9x - 8x) = x
Profit % = $x/{8x} × 100 = 25/2 =12.5%$
Question : 27 [SSC CISF ASI 2010]
The ratio of the C.P. and S.P. of an article is 20 : 21. What is the gain per cent ?
a) 5.5%
b) 5%
c) 6%
d) 6.25%
Answer »Answer: (b)
Using Rule 1,
If S.P > C.P. then there will be profit
Profit = S.P. - C.P.
Profit% = ${\text"Profit" × 100}/{\text"C.P."}$
Tricky Approach
Gain% = ${(21 - 20)}/20 × 100 = 1/20 × 100$ = 5%
Question : 28 [SSC CHSL 2011]
The cost price : selling price of an article is a : b. If b is 200% of a then the percentage of profit on cost price is
a) 125%
b) 75%
c) 100%
d) 200%
Answer »Answer: (c)
$b = a × 200/100 = 2a$
$b/a = 2 ⇒ b/a - 1 = 2 - 1$
${b - a}/a = 1 ⇒ {b - a}/a × 100 = 100$
Gain per cent = 100%
Question : 29 [SSC CGL Tier-I 2010]
If an article is sold at 200% profit, then the ratio of its cost price to its selling price will be
a) 2 : 1
b) 1 : 2
c) 1 : 3
d) 3 : 1
Answer »Answer: (c)
If C.P. = Rs.100
S.P. = Rs.300 [gain being 200%]
Required ratio = 1 : 3
Using Rule 3, If an object is sold on r% Profit.
then,S.P. = C.P$[{100 + \text"Profit%"}/100]$ or C.P. = S.P$[100/{100 + \text"Profit%"}]$
Similarly, If an object is sold on r% loss, then
S.P. = $[{100 - \text"Loss%"}/100]$ or C.P. = S.P$[100/{100 - \text"Loss%"}]$
$\text"C.P."/\text"S.P."= 100 /{100 + \text"Profit%"}$
= $100/{100 + 200} = 100/300$ = 1 : 3
Question : 30 [SSC SO 2006]
Partha earns 15 per cent on an investment but loses 10 per cent on another investment. If the ratio of two investments is 3 : 5, then the combined loss percent is
a) $4/5$%
b) ${-5}/4$%
c) $8/5$%
d) ${-5}/8$%
Answer »Answer: (d)
Let the first investment be 3x Then second investment be 5x
Combined loss %
= ${3x × {15/100} - 5x × {10/100}}/{3x + 5x} × 100$
= ${{{45x}/100} - {{50x}/100}}/{8x} × 100$
= ${-5x}/{8x × 100}$ × 100
= ${-5}/8$ per cent or $5/8$ %loss
[–ve sign shows loss].
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model 11 ratio & partnership Shortcuts »
Click to Read...model 11 ratio & partnership Online Quiz
Click to Start..profit & loss Shortcuts and Techniques with Examples
-
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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