Theory question 103
Commercial Arithmetic(a) A manufacturer offers distributors a discount of 20% on any article bought and a further discount of 2½% for prompt payment. (i) If the marked price of an article is N25,000 find the total amount saved by a distributor for paying promptly. (ii) If a distributor pays N11,700 promptly for an article marked Nx, find the value of x.
(b) Factorize 6y2 − 149y − 102, hence solve the equation 6y2 − 149y − 102 = 0
Show the model answer
Model answer
(a)(i) After 20% off: 0.8 × 25,000 = N20,000. A further 2½% off: 0.025 × 20,000 = N500. Total saved = 5,000 + 500 = N5,500.
(ii) He pays 0.8 × 0.975x = 0.78x = 11,700, so x = N15,000.
(b) 6y2 − 153y + 4y − 102 = 3y(2y − 51) + 2(2y − 51) = (3y + 2)(2y − 51).
y = 25½ or y = −2/3.
Explanation
The second discount is taken off the already-reduced price.