Question

X, Y and Z enter into a partnership in the ratio 5/4 : 3/2 : 7/3. After six
months, Y decreases his share by 33.33%. If the total profit at end of the
year is Rs. 353800, then what is Y's share of profit for the year?
A)
Rs. 170800
B)
Rs. 73200
C)
Rs. 91500
Coontrant
D)
Rs. 109800​
Ans Ans C option

Answer 1

Answer:

Answer: 91500 y share of profit

Answer 2

Answer:

Option (C) is correct.

Step-by-step explanation:

Let the ratio of partnership in shares of X, Y and Z be $\frac{5}{4}$, $\frac{3}{2}$ and $\frac{7}{3}$ respectively.

Let the common ratio be x.

Ratios of X, Y, Z in natural number can be written as,

= 5x × 2 × 3 : 3x × 4 × 3 : 7x × 4 × 2

= 30x : 36x : 56x

After six months, Y decreases his share by 33.33%.

⇒ 33.33% of 36x

⇒ 33.33/100 × 36x

⇒ 11.99x

Thus, decrease in share of Y = 36x - 11.99x

                                                = 24.01x

So, the share of X for entire year = 30x × 12

                                                       = 360x

The share of Y for entire year = (36x × 6) + (24.01x × 6)

                                                  = 216x + 144.06x

                                                  = 360.06x

The share of Z for entire year = 56x × 12

                                                 = 672x

According to the question,

Total profit at the end of year = Rs.353800

⇒ 360x + 360.06x + 672x = 353800

⇒ 1392.06x = 353800

⇒ x = 254.15

Therefore, the Y's share of profit for the year = 360.06 × 254.15

                                                                            = Rs.91509.24

                                                                            = Rs.91500 approx.

Thus, option (C) is correct.

SPJ3