+11912 A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV . Find the gain or loss percent of the whole transaction.
pls can anyone explain this in the easiest way becoz I can't understand this at all.
+128732 OK, Rosala...hang on ......this one is a little difficult !!!
Let's look at the VCR, first. If the shopkeeper lost 4% on its sale, then he must have only been paid 96% of what he bought it for. Call that price, "P". So.......96% of P = 8000 or....in math terms.....
.96P = 8000 divide both sides by .96
P = 8000/.96 = about $8333.33 ...and this is what he bought it for
Now....let's look at the TV......If he made an 8% profit, then he was paid (!00% + 8%) of it's original price.......again, let's call that "P"....so P(100% + 8%) = 8000...or, converting the percents to decimals, we have.....
P(1 + .08) = 8000 → P(1.08) = 8000 divide both sides by 1.08
P = 8000/1.08 = about $7407.41
So notice that the total cost to him of the two items was just .... $8333.33 + $7407.41 = $15,740.74
And since he sold the two items at $8000 each, he received $16000 total
So, if we calculate the profit based on the original cost of the two items, we have
[Selling Price - Original Cost ]/ {Original Cost ] =
[16000 - 15740.74 ] / 15740.74 = about .016 or about 1.6% ... (Mmmmm...that's not much of a profit !!!)
Hope that helps......
+128732 OK, Rosala...hang on ......this one is a little difficult !!!
Let's look at the VCR, first. If the shopkeeper lost 4% on its sale, then he must have only been paid 96% of what he bought it for. Call that price, "P". So.......96% of P = 8000 or....in math terms.....
.96P = 8000 divide both sides by .96
P = 8000/.96 = about $8333.33 ...and this is what he bought it for
Now....let's look at the TV......If he made an 8% profit, then he was paid (!00% + 8%) of it's original price.......again, let's call that "P"....so P(100% + 8%) = 8000...or, converting the percents to decimals, we have.....
P(1 + .08) = 8000 → P(1.08) = 8000 divide both sides by 1.08
P = 8000/1.08 = about $7407.41
So notice that the total cost to him of the two items was just .... $8333.33 + $7407.41 = $15,740.74
And since he sold the two items at $8000 each, he received $16000 total
So, if we calculate the profit based on the original cost of the two items, we have
[Selling Price - Original Cost ]/ {Original Cost ] =
[16000 - 15740.74 ] / 15740.74 = about .016 or about 1.6% ... (Mmmmm...that's not much of a profit !!!)
Hope that helps......
