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The income of Abhay is twice the income of Sanjay. Sanjay spends 75% of his income such that he saves Rs. 1800. Find the savings of Abhay if he spends 72% of his income.

Question

The income of Abhay is twice the income of Sanjay. Sanjay spends 75% of his income such that he saves Rs. 1800. Find the savings of Abhay if he spends 72% of his income.

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Solution

Sure, let's solve this step by step:

Step 1: Let's assume the income of Sanjay is 'x'. According to the problem, Abhay's income is twice that of Sanjay's. So, Abhay's income is '2x'.

Step 2: Sanjay saves 25% of his income (because he spends 75%), which is equal to Rs. 1800. So, we can write this as: 0.25x = 1800.

Step 3: To find the value of 'x', we divide 1800 by 0.25, which gives us x = 7200. This is Sanjay's income.

Step 4: Now, we know that Abhay's income is twice that of Sanjay's. So, Abhay's income is 2x = 2*7200 = Rs. 14400.

Step 5: The problem states that Abhay spends 72% of his income. This means he saves 28% of his income.

Step 6: To find out how much Abhay saves, we calculate 28% of his income. So, Abhay's savings = 28/100 * 14400 = Rs. 4032.

So, Abhay saves Rs. 4032.

This problem has been solved

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