comes of Sophia and Alice are in the ratio of 7 : 9 and each of them saves $360. Find Sophia's income, if the ratio of their expenditures is 2 : 3? Ops: A. $1420 B. $1360 C. $1080 D. $840 Q 07. 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. $1000 B. $1100 C. $900 D. $1800
Question
comes of Sophia and Alice are in the ratio of 7 : 9 and each of them saves 1420 B. 1080 D. $840
Q 07. Jacob spends 8% of his income on transport and 60% of the remaining amount on food. After these expenses, he managed to save 1000 B. 900 D. $1800
Solution
For the first question:
Let's denote Sophia's income as 7x and Alice's income as 9x. According to the problem, each of them saves $360, so we can write the following equations based on the information given:
Sophia's income - Sophia's expenditure = 360
We also know that the ratio of their expenditures is 2:3. Let's denote Sophia's expenditure as 2y and Alice's expenditure as 3y. Now we can substitute these values into the equations:
7x - 2y = 360
Solving these two equations simultaneously, we find that x = 120 = 840.
For the second question:
Let's denote Jacob's income as I. According to the problem, Jacob spends 8% of his income on transport, so the remaining amount is 92% of I. He then spends 60% of the remaining amount on food, so the remaining amount after food expenses is 40% of 92% of I. This amount is equal to his savings, which is $662.4. So we can write the following equation:
0.4 * 0.92 * I = $662.4
Solving this equation, we find that I = 1800.
Similar Questions
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