Correct Answer - Option 1 : 154 : 156.6
Given:
The price of Z is 10 more than the price of X.
The price of X is 5 more than the price of Y.
The ratio of the prices of y/z is 9: 10.
Formula used:
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
Profit percentage = (Profit/Cost Price) × 100
Loss percentage = (Loss/Cost price) × 100
Calculation:
Let prices of z = a + 10,
x = a,
y = a – 5
(a – 5)/(a + 10) = 9/10
⇒ 10a – 50 = 9a + 90
⇒ a = 140
so, x = 140
y = 140 - 5 = 135
After increasing 10% x becomes = 140 × 1.1 = 154
After increasing 16% y becomes = 135 × 1.16 = 156.6
Ratio = 154 : 156.6
∴ Required ratio = 154 : 156.6
