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Question

jimmy set a target score for his Maths test. After the math teacher returned his test paper to him, he realised that if he increased his target score by 10%, he would need 1 more mark to reach his actual test score. If he increased his target score by 15%, this target score would exceed his actual score by 3 marks. Find his actual test score.

thank you.

Source: Rosyth

Answer

post-18066
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The difference in increasing his Target Sccore from 10% more to 15% more = 5%,

which will result in 1+3 = 4 marks diff

                        5% —-> 4 marks

(x20)           100% —-> 80 marks (Target Score)

                     110% —-> 88 marks (1 mark below Actual Score)

Actual Score is 89 marks.

 

0 Replies 2 Likes

If Jimmy’s target score is 100u, increasing it by 10% is 110u, and increasing by 15% is 115u.

His actual score is 110u + 1, and also 115u – 3

115u – 3 = 110u + 1

5u = 4

1u = 4/5

His actual score is 110u + 1 -> 110 x 4/5 + 1 = 89

0 Replies 3 Likes