Question

A man sells an article at a gain of 10%. If he had bought it at 10% less and sold it for 132 rupees, he would have still gained 10%. What is the cost price of the article ?​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

Let the C.P. (Cost Price) be x rupees.

Gain = 10%

S.P.(Selling Price) = 110x/100,

New C.P. = 90x/100

= 9x/10

New S.P. = 110% of 9x/10 rupees

= 99x/100, 11x/10 – 99x/100

= 132

=> 11x/100 = 132

$= > x = \frac{132 \times 100}{11} = 1200$

Hence cost price of the article is 1200 rupees.

Answer 2

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Step-by-step explanation:

Let the C.P. = Rs. x. Gain =10%

S.P. = Rs.

100

110x

=

10

11x

New C.P. = Rs.

100

90x

= Rs.

10

9x

Now S.P. =110% of Rs.

10

9x

= Rs.

100

99x

∴

10

11x

−

100

99x

=132

⇒

100

11x

=132

⇒x=

11

132×100

= Rs. 1200