P amp Q entered in to partenership P investing Rs 8000 and Rs 6000 respectively ...........

Quant (SSC) Partnership

P & Q entered in to partenership P investing Rs 8000 and Rs 6000 respectively. After 3 months P withdrew Rs 2000 while Q invested Rs 2000 more. After 3 more months, R joins the business with a capital of Rs 11000. The share of Q exceeds that of R. Out of the a total profit of Rs 35,100 after one year by.

2300

3600

3800

4200

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Explanation:

P : Q : R = (8000 × 3 + 6000 × 9) : (6000 × 3 + 8000 × 9) : (11000 × 6)
⇒ (24000 + 54000) : (18000 + 72000) : (6600)
⇒ 78000 : 90000 : 66000
⇒ 26 : 30 : 22
⇒ 13 : 15 : 11
∴ Difference of Q's & R's shares
= Rs[35100 x 15/39 - 35100 x 11/39]
⇒ Rs.(900 × 15 – 900 × 11)
⇒ 13500 – 9900 ⇒ Rs 3600.