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Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he managed to save $662.4. His income is:  Ops:   A. $1800    B. $900    C. $1000    D. $1100

Question

Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he managed to save 662.4.Hisincomeis: Ops: A.662.4. His income is:  Ops:   A. 1800    B. 900  C.900    C. 1000    D. $1100

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Solution

Let's solve this step by step:

  1. We know that Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he saves $662.4.

  2. Let's assume Jacob's income is X.

  3. After spending 8% on transport, he is left with 92% of his income. So, the amount he has after transport expenses is 0.92X.

  4. He then spends 60% of the remaining amount (0.92X) on food. So, he is left with 40% of 0.92X, which is 0.4 * 0.92X = 0.368X.

  5. We know that this remaining amount is 662.4.So,wecansetuptheequation0.368X=662.4. So, we can set up the equation 0.368X = 662.4.

  6. To solve for X, we divide 662.4by0.368,whichgivesusX=662.4 by 0.368, which gives us X = 1800.

So, Jacob's income is 1800.Therefore,theanswerisA.1800. Therefore, the answer is A. 1800.

This problem has been solved

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