SOLUTION: A man went shopping with a certain sum of money. he spent 2/5 of it on a shirt and 1/3 of the remainder on a belt. if he had Rs. 200 left, what was the original sum of money?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A man went shopping with a certain sum of money. he spent 2/5 of it on a shirt and 1/3 of the remainder on a belt. if he had Rs. 200 left, what was the original sum of money?       Log On


   

Question 960457: A man went shopping with a certain sum of money. he spent 2/5 of it on a shirt and 1/3 of the remainder on a belt. if he had Rs. 200 left, what was the original sum of money?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%28Q-%282%2F5%29Q%29%282%2F3%29=200

Better to first assign the variable, here chosen Q, and then build each step toward the final 200 Rs. portion.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the original sum
He spent +%282%2F5%29%2Ax+ of it on a shirt
There was +%28+3%2F5+%29%2Ax+ left
---------------------------
He spent +%281%2F3%29%2A%28+3%2F5+%29%2Ax+ on a belt
He had +%28+2%2F3+%29%2A%28+3%2F5+%29%2Ax+ left
---------------------------------
+%28+2%2F3+%29%2A%28+3%2F5+%29%2Ax+=+200+
+%28+6%2F15+%29%2Ax+=+200+
+x+=+%28+5%2F2+%29%2A200+
+x+=+500+
The original sum was Rs. 500