Question

a man sells an article at a gain of 10% If he brought it at 10% less and sold it for rupees 132 less he would have still gain 10% what is the cost of an article.

Answer 1

Answer:

Rs 1200

Step-by-step explanation:

Let say cost price of article = C Rs

10 % Gain = (10/100)×C = 0.1C

Selling price = Cost price + Gain

Selling price = C + 0.1C = 1.1C

He brought at 10% less

So new cost price = C (1-10/100) = 0.9C

Gain = 10%

Gain = (10/100)×0.9C = 0.09C

New Selling price = 0.9C + 0.09C = 0.99C

He sold at Rs 132 less

0.99C = 1.1C - 132

0.11C = 132

C = 132/.11

C = 1200 Rs

Cost of article was rs 1200

Answer 2

Answer:-

CP (cost price)=₹1200

Explanation:-

Let the C.P (cost price) be Rs. 100

Gain = 10 %

Selling Price (SP) = 100+10 % of 100

=100+10

S. P.=Rs 110

If he had bought it at 10 % less then,

the C.P=100-10 % of 100 

= 100-90

= Rs 90

Gain in this condition = 10 %

Selling Price = 90 + (90×10)

= 90 + 9

S.P. = Rs 99

Difference in new S.P. and old S.P. = Rs. 110 - Rs. 99 

= Rs 11

Now, compare the difference :-

If the difference in S.P is Rs. 11 then the C.P. =100

If the difference in S.P is Rs. 1 then the C.P. =100/11

If the difference in S.P. is Rs. 132 then the C.P. =(100×132)/11

=13200/11

Cost Price (CP) =Rs 1200

So, the old or original Cost Price is Rs 1200