Anubhav spent 14% of his income on electricity bills, 28% on rent, and 18% on shopping. If $$ \frac{1}{4} $$ of the remaining amount is Rs. 5120, how much did he spend on electricity bills?

Question

Accepted Answer

Let Anubhav's total income be $$ x $$. The percentages spent are as follows:  
- Electricity bills: $$ 14\% = 0.14x $$  
- Rent: $$ 28\% = 0.28x $$  
- Shopping: $$ 18\% = 0.18x $$

#### Step 1: Calculate Remaining Amount
The total spent on these three items is:  
$$
0.14x + 0.28x + 0.18x = 0.6x
$$  
Remaining amount = $$ x - 0.6x = 0.4x $$.

#### Step 2: Use Given Condition
It is given that $$ \frac{1}{4} $$ of the remaining amount equals Rs. 5120:  
$$
\frac{1}{4} 	imes 0.4x = 5120
$$  
Simplify:  
$$
0.1x = 5120 \implies x = \frac{5120}{0.1} = 51200
$$

#### Step 3: Calculate Electricity Bill
The amount spent on electricity bills is $$ 14\% $$ of the total income:  
$$
0.14x = 0.14 	imes 51200 = Rs. 7168
$$

Thus, Anubhav spent **Rs. 7168** on electricity bills.

Answer

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