# The price of a P&G product is collectively decided by five input factors viz. research, raw materials, labour, advertisements and transportation. The functional relationship of price with these factors is: Price = (k × Research costs × Raw material costs × Labour costs × Advertising cost × Transportation cost) if there are respective changes of 10%, 20%, -20%, 25% and 50% in the five factors, then find the change in the price of product. Option 1) 85%Option 2) 95%Option 3) 98%Option 4) 80%Option 5) none of these

Final = $\dpi{100} 100\times \left ( \frac{110}{100} \right )\times \left ( \frac{120}{100} \right )\times \left ( \frac{80}{100} \right )\times \left ( \frac{125}{100} \right )\times \left ( \frac{150}{100} \right )$
$\dpi{100} \Rightarrow 198$
$\dpi{100} \Rightarrow$  Change 198 - 100 = 98 %