Question:

\(20\%\) of the total cost of a projector is payable at the time of purchase and the remaining is payable at the time of installation. If 6,000 is paid at the time of purchase, then what is the amount payable at the time of installation?

Updated On: Mar 5, 2025
  • ₹ 12000
  • ₹ 18000
  • ₹ 24000
  • ₹30000
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The Correct Option is C

Solution and Explanation

Step 1: Let the total cost of the projector be C. The amount paid at the time of purchase is 20% of C, which is ₹6,000. So,

\[ \frac{20}{100} C = 6000 \Rightarrow C = \frac{6000 \times 100}{20} \]

Step 2: The remaining amount is: 

\[ 100\% - 20\% = 80\% \text{ of } C. \]

Amount payable at installation:

\[ \frac{80}{100} \times 30,000 = 24,000. \]

Conclusion: The amount payable at the time of installation is ₹24,000.

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