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 less, he would have still gained 10%. What is the cost price of the article ?​

Answer 1

Answer:

Question:

A man sells an article at a gain of 10%.

If he had bought it at 10% less and solid it for 132 less rupees. He would have still gained 10%. What is the cost of the article ?

To find ?

Cost of the article.

Answer:

Let the cost price (C.P.) be x rupees.

Gain = 10%

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

New C.P. = 90x/10

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

= 99x/100,

11x/10 – 99x/100 = 132

=> 11x/100 = 132

=> x = (132 × 100)/11 = 1200 rupees.

Hence, the cost price of the article is 1200 rupees.

Answer 2

Let the cost price = x

And sell price = y

y — x = 0.10x

y —1.1x =0……….(1)

Since article was bought 10% less and sold for 132 less and still gained 10% on cost price

y- 132– 0.9x= 0.10×0.9x

y - 0.9x —0.09x=132

y- 0.99x = 132………..(2)

sub. (1) From (2)

0.11x =132

x = 1200

So cost price of article is =1200

Hope it helps

Thankyou!!!