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Mohan spends 40% of his salary on food items, 50% of the remaining on transport, 30% of the remaining, after spending on food and transport, he spends on clothes and saves the balance. If he saves Rs 630 every month, what is his monthly salary?
- a)Rs 1500
- b)Rs 3000
- c)Rs 5000
- d)Rs 6500
Correct answer is option 'B'. Can you explain this answer?
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To solve this problem, we can work backwards and find the monthly salary of Mohan. Let's go step by step.
Step 1: Let's assume Mohan's monthly salary is 'x' rupees.
Step 2: Mohan spends 40% of his salary on food items. So, the amount spent on food items is 40% of x, which is (40/100)*x = 0.4x.
Step 3: After spending on food items, Mohan has (1 - 0.4) = 0.6x amount remaining from his salary.
Step 4: Mohan spends 50% of the remaining amount on transport. So, the amount spent on transport is 50% of 0.6x, which is (50/100)*(0.6x) = 0.3x.
Step 5: After spending on food and transport, Mohan has (0.6x - 0.3x) = 0.3x amount remaining.
Step 6: Mohan spends 30% of the remaining amount on clothes. So, the amount spent on clothes is 30% of 0.3x, which is (30/100)*(0.3x) = 0.09x.
Step 7: After spending on food, transport, and clothes, Mohan has (0.3x - 0.09x) = 0.21x amount remaining.
Step 8: Mohan saves the balance amount, which is 0.21x. Given that he saves Rs 630 every month, we can set up the equation 0.21x = 630 and solve for x.
0.21x = 630
Dividing both sides by 0.21, we get:
x = 630/0.21
x = 3000
Therefore, Mohan's monthly salary is Rs 3000.
Step 1: Let's assume Mohan's monthly salary is 'x' rupees.
Step 2: Mohan spends 40% of his salary on food items. So, the amount spent on food items is 40% of x, which is (40/100)*x = 0.4x.
Step 3: After spending on food items, Mohan has (1 - 0.4) = 0.6x amount remaining from his salary.
Step 4: Mohan spends 50% of the remaining amount on transport. So, the amount spent on transport is 50% of 0.6x, which is (50/100)*(0.6x) = 0.3x.
Step 5: After spending on food and transport, Mohan has (0.6x - 0.3x) = 0.3x amount remaining.
Step 6: Mohan spends 30% of the remaining amount on clothes. So, the amount spent on clothes is 30% of 0.3x, which is (30/100)*(0.3x) = 0.09x.
Step 7: After spending on food, transport, and clothes, Mohan has (0.3x - 0.09x) = 0.21x amount remaining.
Step 8: Mohan saves the balance amount, which is 0.21x. Given that he saves Rs 630 every month, we can set up the equation 0.21x = 630 and solve for x.
0.21x = 630
Dividing both sides by 0.21, we get:
x = 630/0.21
x = 3000
Therefore, Mohan's monthly salary is Rs 3000.
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Mohan spends 40% of his salary on food items, 50% of the remaining on transport, 30% of the remaining, after spending on food and transport, he spends on clothes and saves the balance. If he saves Rs 630 every month, what is his monthly salary?a)Rs 1500b)Rs 3000c)Rs 5000d)Rs 6500Correct answer is option 'B'. Can you explain this answer?
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