A watch when sold at a profit of 25/4% yields Rs 70 more than when it is sold at - Maths - Comparing Quantities

Question

A watch when sold at a profit of 25/4% yields Rs 70 more than when
it is sold at a loss 25/4% Find the cost price of the watch

Prashant Ranjan · Accepted Answer

Dear student,

Let the cost price of the watch be x

25/4 profit means 6 25 %
or, 6 25/ 100 of x
0 0625x profit

So, price at which it will be sold at a profit of 25/4% = x + 0
0625x = (1+0 0625)*x

Now,same applies to the loss
25/4 loss means 6 25 %
or, 6 25/ 100 of x
0 0625x loss

Again,
So, price at which it will be sold at a loss of 25/4% = x - 0 0625x
= (1-0 0625)*x

so we are given that the difference is 70 rupees
So,
(1+0 062)*x- ( 1-0 062)*x = 70
Or, 1 0625x - 0 9375x = 70
Or, 0 125x = 70
Or, x=70/0 125
Or, x= 560

Therefore, cost price = 560

Regards

A watch when sold at a profit of 25/4% yields. Rs 70 more than when it is sold at a loss 25/4%. Find the cost price of the watch.