1.

A discount series of p% and q% on an invoice is the same as a single discount of(a) \(\big(\)(p+q)-\(\frac{pq}{100}\)\(\big)\)%(b) \(\big(p-q+\frac{pq}{100}\big)\)%(c) \(\{100-\big(p+q+\frac{pq}{100}\big)\}\)%(d) \(\frac{pq}{100}\)%

Answer»

Let the M.P. of the invoice = Rs 100. Then,

S.P. = (100 – p)% of (100 – q)% of Rs 100

= Rs \(\{\frac{(100-p)}{100}\times\frac{(100-q)}{100}\times100\}\) = Rs \(\frac{(100-p)(100-q)}{100}\)

\(\therefore\) Single discount = \(\{100-\frac{(100-p)(100-q)}{100}\}\)%

\(\Big[\frac{10000-\{10000-100q-100p+pq\}}{100}\Big]\)%

\(\frac{100q+100p-pq}{100}\) = \(\{(p+q)-\frac{pq}{100}\}\)%



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