Question

a dealer sells a toy for ₹21 and loses as much percent as the cost of the toy. find the cost of the toy​

Answer 1

Step-by-step explanation:

Cost price = Rs 70

or

Cost price = Rs 30

Step-by-step explanation:

Let the cost price = C

Selling price = Rs 21

Percentage Loss = ( \frac{C-21}{C} ) X 100%

but percentage loss = Cost price = C

=> ( \frac{C-21}{C} ) X 100 = C

on cross multiplication

C^{2} = 100C - 2100

=> C^{2} - 100C - 2100 = 0

=> C² - 70C - 30C - 2100 = 0

=> ( C - 70 )( C - 30 ) = 0

=> C = 70 or C = 30

⇒ Cost price = Rs 70 or Rs 30