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Q32. The pie chart given below represents the various percentages of the total production cost incurred by a company under different heads. Consider the pie chart and answer the item that follows.

If it is given that power constitutes 50% of the other costs and the power cost declines by 10%, then by what percentage will the total expenses of the company decrease?

नीचे दिया गया चार्ट विभिन्न मदों के तहत एक कंपनी द्वारा वहन की गई कुल उत्पादन लागत के विभिन्न घटकों के % को प्रदर्शित करता है। पाई चार्ट पर विचार कीजिए और आगे आने वाले प्रश्न का उत्तर दीजिए।

यदि यह ज्ञात है कि अन्य लागत (others) का 50 % भाग बिजली है और बिजली की लागत 10 % कम हो जाती है तो कंपनी का कुल व्यय कितना % घटेगा?


A

2.5%

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B

5%

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C

10%

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D

Cannot be determined.

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Solution

The correct option is A

2.5%


Assume that the total expense of the company = Rs. 100.

Then, Other costs = Rs. 50

It is given that power constitutes 50% of other costs

Now, Power cost = 50% of the other costs = 50% of 50 = Rs. 25.

Decrease in power cost = 10% of original rate = 10% of 25 = Rs. 2.5.

Hence, the percentage decrease in expenses = (2.5/100) × 100 = 2.5%.

मान लीजिए कि कंपनी का कुल व्यय = 100 रू.

तब, अन्य लागत = 50 रू.

यह ज्ञात है कि बिजली, अन्य लागत के 50 प्रतिशत के बराबर है।

अब, बिजली की लागत = अन्य लागत का 50 प्रतिशत = 50 का 50 प्रतिशत = 25 रू.

बिजली की लागत में कमी = वास्तविक दर का 10 प्रतिशत = 25 का 10 प्रतिशत = 2.5 रू.

अतः, व्यय में प्रतिशत कटौती = (2.5/100) × 100 = 2.5 प्रतिशत


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