The cost of manufacturing a car includes the cost of materials, labour and overheads. In 2014, the cost of these items was in the ratio of 5 : 4 : 3. In 2015, the cost of the material rose by 16%, the cost of the labour increased by 10% but the overheads were reduced by 8%. Find the increased percent in the price of the car.

To solve this problem, we need to calculate the new costs for each component (materials, labour, overheads) and then compare the total cost in 2015 to the total cost in 2014 to find the percentage increase.

Step 1: Calculate the original costs Let's assume the total cost of manufacturing a car in 2014 was $1200 (we choose this number because it is divisible by the sum of the ratio numbers 5+4+3=12). So, the cost of materials was 5/12 *$1200 = $500, the cost of labour was 4/12 *$1200 = $400, and the cost of overheads was 3/12 *$1200 = $300.

Step 2: Calculate the new costs in 2015 In 2015, the cost of materials rose by 16%, so the new cost was $500 * 1.16 =$580. The cost of labour increased by 10%, so the new cost was $400 * 1.10 =$440. The cost of overheads reduced by 8%, so the new cost was $300 * 0.92 =$276.

Step 3: Calculate the total cost in 2015 The total cost in 2015 was $580 (materials) +$440 (labour) + $276 (overheads) =$1296.

Step 4: Calculate the percentage increase The percentage increase in the price of the car from 2014 to 2015 was (($1296 -$1200) / $1200) * 100 = 8%.

So, the increased percent in the price of the car was 8%.