Question

By selling an article at 7/8th of the marked price, there is a gain of 25%. The ratio of the marked
price and the cost price is:
10:7
3:5
3:5
4:5

Answer 1

Answer:

Correct option is D)

Let M.P. = Rs. 100

Then S.P. =

5

2

of M.P. =

5

2

×100= Rs. 40

Loss =25%

Then, C.P. =

100−loss%

100

× S.P.

⇒

100−25

100

×40

⇒

75

100

×40= Rs.

3

160

M.P. : C.P. =100:

3

160

=300:160

=15:8

Answer 2

Concept Introduction: All businesses run in Profit and Loss.

Given:

We have been Given: SP of article is

$\frac{7}{8} th \: of \: mp$

Profit Percentage on it

$25\%$

To Find:

We have to Find: The ratio of the marked

price and the cost price is?

Solution:

According to the problem, Let the MP be

$mp = rs.100$

therefore, SP is

$sp = \frac{7}{8} th \: of \: mp \\ sp = \frac{7}{8} \times 100 \\ sp =rs. 87.5$

now, we know, CP is given by

$cp = \frac{100}{100 + profit\%} \times sp \\ cp = \frac{100}{100 + 25} \times 87.5 \\ cp = \frac{100 \times 87.5}{125} \\ cp =rs. 70$

Therefore ratio of MP by CP is

$mp : cp = 100 : 70 = 10 : 7$

Final Answer: The Ratio of Market Price to Cost Price is

$10 : 7$

#SPJ2