Question

P, q, r enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, p increases his share 20% and q by 10%. If the total profit at the end of one year is rs 1,90,500, what amount will r receive at the end of year as share in profit ?
a.Rs. 90500
b.Rs. 87500
c.Rs. 88900
d.Rs. 90000

Answer 1

Answer:

P, q, r enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, p increases his share 20% and q by 10%. If the total profit at the end of one year is rs 1,90,500, what amount will r receive at the end of year as share in profit ?

a.Rs. 90500 ✔

b.Rs. 87500

c.Rs. 88900

d.Rs. 90000

Answer 2

The correct answer is D that is Rs 90,000

Explanation:

The amount of money, which r will receive at the end of the period is computed as:

• The ratio of the investments for 1 period is as:

= P: Q: R

= [Ratio of Px 2 months + (Ratio of P + Increase in ratio x Total of all ratio)) : Ratio of Q x 2 months + (Ratio of Q + Increase in ratio x Total of all ratio) : (Ratio of R x Total of all ratio + 2 months)]

= [2 x 2 + (2 + 0.4 x 10) : 3 x 2 + (3 + 0.3 x10) : (5 x 12)]

= [ 4 + (2.4 x10) : 6 + (3 .3 x 10) : 60]

= 4 + 24 : 6 + 33 : 60

= 28 : 39 : 60

• Now , we will compute the share of R:

R share = Profit x R share / Total of all shares

= Rs 190,500 x 60 / 127

= Rs 90,000