The investments of three partners, P, Q, and R, are initially in the ratio 6:7:9. After a year, P adds ₹30,000, Q adds ₹25,000, and R adds some amount to their respective investments. The new ratio of their investments becomes 8:9:11. Find the amount (in ₹) added by partner R.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹15,000.
Let initial investments = 6x, 7x, 9x
After adding money
P = 6x + 30000
Q = 7x + 25000
R = 9x + y
New ratio = 8 : 9 : 11
So,
=
⇒ 9(6x + 30000) = 8(7x + 25000)
⇒ 54x + 270000 = 56x + 200000
⇒ 2x = 70000
⇒ x = 35000
Now use the ratio with R:
=
⇒ =
⇒ =
⇒ 30000 =
⇒ 330000 = 315000 + y
⇒ y = ₹15000