Question

10/N 362
Attempt any one subquestion from the following:
Convert the following equations into simultaneous equations and
solve:
4 1.1.1
a)
A dealer sells a toy for * 24 and gains as much percent as the cost
price of the toy. Find the cost price of the toy.​

Answer 1

Answer:

Cost price is 20

Step-by-step explanation:

Maharashtra board Q 5ii

Answer 2

The cost price of the toy is Rs 20

It is given that the Selling Price (SP) of the toy is Rs 24.

Let the Cost Price (CP) be Rs x.

Given gain% = CP = x%

Again gain% = [(SP - CP)/CP]*100%                    Where SP - CP = Gain

Putting the respective values, we get

x = [24-x)/x]*100

⇒ x² + 100x - 2400 = 0

⇒ x² + 120x - 20x - 2400 = 0

⇒ x(x+120) -20(x+120) = 0

⇒ (x+120)(x-20) = 0

By zero product rule, we get

x = -120 which cant be true as prices cannot be in negative

So, x = 20

Thus, CP = Rs 20