Mr. Rama Spend 30% of his income on food. 20% of the remaining on books 10% of remaining on entertainment and save the remaining Rs. 10,080. Find his income?
Question
Mr. Rama Spend 30% of his income on food. 20% of the remaining on books 10% of remaining on entertainment and save the remaining Rs. 10,080. Find his income?
Solution
Sure, let's solve this step by step:
-
Let's assume Mr. Rama's income is X.
-
He spends 30% of his income on food, so he is left with 70% of his income. We can represent this as 0.70X.
-
He then spends 20% of the remaining income on books. So, he is left with 80% of his remaining income. We can represent this as 0.80 * 0.70X = 0.56X.
-
He then spends 10% of the remaining income on entertainment. So, he is left with 90% of his remaining income. We can represent this as 0.90 * 0.56X = 0.504X.
-
We know that the remaining amount after all the expenses is Rs. 10,080. So, we can set up the equation 0.504X = 10,080.
-
To solve for X, we divide both sides of the equation by 0.504. So, X = 10,080 / 0.504 = Rs. 20,000.
So, Mr. Rama's income is Rs. 20,000.
Similar Questions
Ravi lent out Rs.9600 at 8.5% per annum for a year 2 years 6 months.At the end of the duration,what amount he earned ?
A bookseller sells all his books at a profit of 10%. If he buys a book from the distributor atRs200, how much does he sell it for
On selling an article for Rs. 200, a man loses Rs. 20. Find his profit per cent.A10%B9*1/11%C11*1/9%D20%
A saves 12% of her income. If she spends Rs.2,16,128,then her income is?OptionsRS.2,43,560RS.2,45,600RS.2,48,000RS.2,42,063
The ratio of the incomes of A and B is 5:4 and the ratio of their expenditures is 3:2 if at the end of the year, each saves Rs 1600,Find the inccome of A.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.