3 0 % . When I went to the shop, they did not offer any more discounts, and I still bought the same car.
My son has bought himself a new car at $34300 from a shop after three successive discount ofHow much did my family (both my son and I) spend on cars?
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Let the actual cost of the car before discount be x .
After the 1st discount the cost is x − 1 0 0 3 0 x = 1 0 0 7 0 x .
Similarly after the 2nd discount the cost is 1 0 0 7 0 x − 1 0 0 3 0 x × 1 0 0 7 0 x = 1 0 0 4 9 x .
Same way is followed and after the 3rd discount the cost will be 1 0 0 0 3 4 3 x .( After this no further discount is implemented.)
Now, we get 1 0 0 0 3 4 3 x = 3 4 3 0 0 .
Thus, the actual cost of the car was $ 1 0 0 0 0 0 .
Therefore, the total money spent on the cars is 3 4 3 0 0 + 1 0 0 0 0 0 = $ 1 3 4 3 0 0 ( It is because the father bought the car without any discount.)
If a 30% discount has been applied, we can assume that our price is 0.7 of the original. therefore we can divide by 7 and multiply by ten, We do this three times for the three successive discounts of 30% which gives us a price of $100000. We add these together to get $134300
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Let x be the original price. The first discount is x − 0 . 3 x = 0 . 7 x . The second discount is 0 . 7 x − 0 . 3 ( 0 . 7 x ) = 0 . 4 9 x . The third discount is 0 . 4 9 x − 0 . 3 ( 0 . 4 9 x ) = 0 . 3 4 3 x .
Then
0 . 3 4 3 x = 2 4 3 0 0
x = 1 0 0 0 0 0
t o t a l a m o u n t = 1 0 0 0 0 0 + 3 4 3 0 0 = 1 3 4 3 0 0