Question

a man sells a bicycle at a gain of 10%.if he had bought it at 10% less and sold it for rs 132 less, he would have gain 10% the cost price of the article is what?

Answer 1

Let the cost price of cycle be X

According to question

Selling price = 10%X + X
               SP = 1.01 X

The amount in which he bought Y = X - 10%X
                                                        =  0.9 X
Thus according to question
0.9 X = 1.01 X - 132
132 = 2 X
X = 66
Thus cost price of cycle is 66

Answer 2

Solution :-

Let the C.P. be Rs. 100

Gain = 10 %

Selling Price = 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, comparing 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 = Rs. 1200

So, the old or original Cost Price of the bicycle is Rs. 1200

Answer.