Question

There are two toys x and y. The price of x increases by 30% and price of y decreases by 50%. The ratio of the two toys after the change is 5: 4. Find the initial price of y in terms of hundred.

1. 5100
2. 6100
3. 5500
4. 5200

Answer 1

Correct Answer - Option 4 : 5200

Given:

There are two toys x and y.

The price of x increases by 30% and the price of y decreases by 50%.

The ratio of the two toys after the change is 5 : 4.

Formula:

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit /Cost Price) x 100

Loss percentage = (Loss / Cost price) x 100

Calculation:

{x × 13/10}/{y × (1/2)} = 5/4

⇒ 13x/5y = 5/4

⇒ x/y = 25/52

So the price of y in terms of hundred is 5200

∴ the initial price of y is Rs. 5200