Answer: (c)

Ratio in which the profit will divide – 23:15. Let the profit be P

Now, \(\displaystyle [(\frac{{23}}{{38}}-\frac{{15}}{{38}})]\times \frac{{60}}{{10}}\times P=500\)

P = 3958.34

Answer: (a)

\(\displaystyle \frac{A}{B}=\frac{{15}}{{16}}and\frac{B}{C}=17\times 18\)

So A : B : C = 15 × 17 : 16 × 17 : 16 × 18 = 255 : 272 : 288

So C’s salary = \(\displaystyle [\frac{{288}}{{(255+272+288)}}]\times 1,87,450=66240\)

Answer: (a)

Solution for the Ratio and Proportion question is,

a : c = (a : b) × (b : c)

= \(\displaystyle \frac{7}{9}\times \frac{{15}}{7}=\frac{{15}}{9}=5:3\)

Alternately :

A : C = 7 × 15 : 9 × 7 = 5 : 3

Answer: (c)

If \(\displaystyle \frac{a}{b}=\frac{c}{d}=\frac{e}{f}\)  these ratios is equal to \(\displaystyle \frac{{a+c+e}}{{b+d+f}}\)

Here, \(\displaystyle \frac{p}{q}=\frac{r}{s}=\frac{t}{u}=\frac{2}{3}\)

\(\displaystyle \frac{{mp}}{{mq}}=\frac{{nr}}{{ns}}=\frac{{ot}}{{ou}}=\frac{2}{3}\)

\(\displaystyle \frac{{mp+nr+ot}}{{mq+ns+ou}}=\frac{2}{3}or2:3\)

Answer: (d)

\(\displaystyle \frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\frac{1}{2}\)

\(\displaystyle \frac{{pa}}{{pb}}=\frac{{qc}}{{qd}}=\frac{{re}}{{rf}}=\frac{1}{2}\)

\(\displaystyle \frac{{pa+qc+re}}{{pb+qd+rf}}=\frac{1}{2}=1:2\)