Question

20. Each year a school organises a concert.
(a) i) In 2004 the cost of organising the concert was $385.
In 2005 the cost was 10% less than in 2004.
12
Calculate the cost in 2005.
ii) The cost of $385 in 2004 was 10% more than the cost in 2003.
12
Calculate the cost in 2003.
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(b) i) In 2006 the number of tickets sold was 210.
The ratio Number of adult tickets: Number of student tickets was 23:19.
How
many
adult tickets were sold?
ii) Adult tickets were $2.50 each and student tickets were $1.50 each.
Calculate the total amount received from selling the tickets.
iii) In 2006 the cost of organising the concert was $410.
Calculate the percentage profit in 2006.
(c) In 2007, the number of tickets sold was again 210.
Adult tickets were $2.60 each and student tickets were $1.40 each.
The total amount received from selling the 210 tickets was $480.
How many student tickets were sold?
Cambridge IGCSE Mathematics 058
Paper 4 01 November 2001
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Answer 1

Given : In 2004 the cost of organising the concert was $385.  

In 2005 the cost was 10% less than in 2004.

The cost of $385 in 2004 was 10% more than the cost in 2003.

To find : cost in 2005.

cost in 2003.

Solution:

In 2004 the cost of organising the concert was $385.

In 2005 the cost was 10% less than in 2004.

10 % of cost in 2004  =

10 %   of 385  = (10/100) 385 = 38.5 $

cost in 2005. = Cost in 2004 - 10 % of cost in 2004

=> cost in 2005. = 385 - 38.5  = 346.5 $

The cost of $385 in 2004 was 10% more than the cost in 2003

Let say Cost in 2003  = x  $

10 % of cost in 2003 = (10/100)x = 0.1x  $

Cost in 2004 = x + 0.1x = 1.1 x$

1.1x  = 385

=> x = 350

Cost in 2003  = 350 $

Please post Question one by one

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