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# The price of a P&G product is collectively decided by five input factors viz. research, raw materials, labour, advertisements and transportation. The functional rel

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

Answers (1)
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Let initial Price be = 100

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 %

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