# Question

The usual price of a television is 20% more than the usual price of a computer. During the Great Singapore Sale, 20% discount was given on the television and 25% discount was given on the computer. Due to the promotion, the money collected from one computer was \$210 less than that of one television. What is the usual price of one television?

usual price of a television : 120 units
usual price of a computer : 100 units

During the Great Singapore Sale,
discounted price of a television : (100% – 20%) x 120 units = 96 units
discount price of a computer : (100% – 25%) x 100 units = 75 units

96 – 75 = 21 units = 210
1 unit = 10
120 units = 1200

Ans : \$1200.

0 Replies 0 Likes ✔Accepted Answer

TV              -> 120%
Computer -> 100%

During Great Singapore Sales:

TV              -> 120% – 20% = 100%
Computer -> 100% – 25% = 75%

Therefore,
100% – 75% = 25%
25% -> \$210
1% -> \$(210/25)
120% -> \$(210/25) x 120% = \$1008

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“TV -> 120%
Computer -> 100%
During Great Singapore Sales:
TV -> 120% – 20% = 100%
Computer -> 100% – 25% = 75%
Therefore,
100% – 75% = 25%
25% -> \$210
1% -> \$(210/25)
120% -> \$(210/25) x 120% = \$1008″

Based on \$1008, being the usual price of a television, as the answer,
(100% – 20%) x \$1008 = \$806.40 (discounted price of a television)
\$1008/1.2 = \$840 (usual price of a computer)
(100% – 25%) x \$840 = \$630 (discounted price of a computer)
\$806.40 – \$630 = \$176.40 (does not satisfy “money collected from one computer was \$210 less than that of one television”)

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Let price of computer be u.

Price of computer = 1u, Price of television = 1.2u

Price of tele after discount = 1.2u x 80/100 = 0.96u

Price of com after discount = 1u x 75/100 = 0.75u

210 = 0.96 – 0.75 = 0.21u

Price of tele = 1.2u = 210/0.21 x 1.2

=1200

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