Raman spends 2/5 of his monthly income on food and 3/8 of the remaining on clothes. Find (a) What fraction of his income is left with him. (b) If the money left is ₹2400, find monthly income.
what is answer
What is 1 - 2/5 - 3/8 ??
Solve for x(1 - 2/5 - 3/8)x = 2400
I have to read the questions more carefully, go with
PsyDAG, mine is wrong.
To find the fraction of Raman's income that is left with him, we need to subtract the amount spent on food and clothes from the total monthly income.
(a) Let's break it down step by step:
1. Raman spends 2/5 of his monthly income on food. Therefore, the fraction of his income spent on food is 2/5.
2. After spending on food, he has 1 - 2/5 = 3/5 of his income remaining.
3. Next, he spends 3/8 of the remaining income on clothes. So the fraction of his income spent on clothes is 3/8.
4. To find the fraction of income remaining after spending on clothes, we subtract 3/8 from 3/5:
(3/5) - (3/8)
To subtract these fractions, we need a common denominator. The least common denominator (LCD) of 5 and 8 is 40.
So, let's convert the fractions to have a denominator of 40:
(3/5) * (8/8) = 24/40
(3/8) * (5/5) = 15/40
Now we can subtract:
(24/40) - (15/40) = 9/40
5. Therefore, the fraction of his income left with him is 9/40.
(b) To find Raman's monthly income, we can set up an equation using the given information that the money left with him is ₹2400.
Let's represent his monthly income with 'x':
(x * 9/40) = ₹2400
To solve for 'x', we can cross-multiply:
9x = 2400 * 40
9x = 96000
Dividing both sides by 9, we get:
x = 96000 / 9
x ≈ ₹10666.67
Therefore, Raman's monthly income is approximately ₹10666.67.
(b) x - 2/5x - (3/5*3/8)x = 2400
(a) 2400/x = ?
Solve for x, then fraction.