Let A = 2k, B = 3k and C = 5k.

A's new salary = \(\frac{115}{100} of 2k = \left(\frac{115}{100}\times2k\right) = \frac{23k}{10}\)

B's new salary = \(\frac{110}{100} of 3k = \left(\frac{110}{100}\times3k\right) = \frac{33k}{10}\)

C's new salary = \(\frac{120}{100} of 5k = \left(\frac{120}{100}\times5k\right) = 6k
\)

Therefore  New ratio \(\left(\frac{23k}{10}:\frac{33k}{10}:6k\right) = 23:33:60\)

Let 40% of A = \(\frac{2}{3}B\)

Then,\(\frac{40A}{100}= \frac{2B}{3} \)

\(\frac{2A}{5}=\frac{2B}{3}\)

\(\frac{A}{B} = \left(\frac{2}{3}\times\frac{5}{2}\right)= \frac{5}{3} \)

Therefore A : B = 5 : 3.

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : 15 : x

\(\Rightarrow\) 5x = (8 x 15)

X = \(\frac{(8\times15)}{5}\) = 24

Let the numbers be 3x and 5x.

Then, \(\frac{3x-9}{5x-9} = \frac{12}{23}\)

 \(\Rightarrow\) 23(3x - 9) = 12(5x - 9)

\(\Rightarrow\) 9x = 99

\(\Rightarrow\) x = 11.

Therefore The smaller number = (3 x 11) = 33.

Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.

Then, sum of their values = Rs. \(\left(\frac{25x}{100}\times\frac{10\times2x}{100}\times\frac{5\times3x}{100}\right) = Rs.\frac{60x}{100} \)

Therefore  \(\frac{60x}{100} =30 \Leftrightarrow \frac{30\times100}{60} = 50\)

Hence, the number of 5 p coins = (3 x 50) = 150.

 -  Sum of ratio terms = (35 + 28 + 20) = 83.
A's share = Rs. (1162 x (35/83))= Rs. 490;
B's share = Rs. (1162 x(28/83))= Rs. 392;
C's share = Rs. (1162 x (20/83))= Rs. 280

To divide Rs. 1162 among A, B, C in the ratio of 35 : 28 : 20, we need to use the following steps:

• Find the total ratio, which is the sum of the individual ratios. In this case, the total ratio is 35 + 28 + 20 = 83.

• Now divide the total amount of Rs. 1162 by the total ratio, i.e. 1162/83 = 14.

• Multiply the individual ratios with the result of the previous step, i.e.

• For A, 35 x 14 = 490
• For B, 28 x 14 = 392
• For C, 20 x 14 = 280

Therefore, the required division of Rs. 1162 among A, B, C in the ratio of 35 : 28 : 20 is 490, 392 and 280 respectively.

Hence, Option C is the correct answer.

If you think the solution is wrong then please provide your own solution below in the comments section .