Question

2340 rupees are distributed among three persons so that their shares be diminished by rupees 5, rupees 10 and rupees 15 respectively, the remainder shall be in the ratio 3 : 4 : 5 . The share of C is ?​

Answer 1

Answer:

Let Rs.2430 be divided among three persons with their shares as x,y and z respectively so that x+y+z=2430

Given, x−5:y−10:z−15=3:4:5

⇒x−5=3k,y−10=4k and z−15=5k

⇒x=3k+5,y=4k+10 and z=5k+15

∴3k+5+4k+10+5k+15=2430

⇒12k+30=2430⇒12k=2400⇒k=200

∴ C's share =z=5k+15=5×200+15=Rs.1015

Step-by-step explanation:

Answer 2

Answer:

Let 2430 rupees be divided among three persons with their shares as x, y and z respectively so that

x + y + z = 2430

Given, x – 5 : y – 10 : z – 15 = 3 : 4 : 5

=》x – 5 = 3k, y – 10 = 4k and z – 15 = 5k

=》x = 3k + 5, y = 4k + 10 and z = 5k + 15

Therefore, 3k + 5 + +4k + 10 + 5k + 15 = 2430

=》12k + 30 = 2430 =》 12k = 2400

=》k = 200

Therefore C's share = z = 5k + 15 = 5 × 200 + 15

= 1015 rupees.