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.

तीन साझेदारों, P, Q और R का प्रारंभिक निवेश अनुपात 6 : 7 : 9 है। एक वर्ष बाद, P ने ₹30,000, Q ने ₹25,000 और R ने अपने-अपने निवेश में कुछ राशि जोड़ी। उनके निवेश का नया अनुपात 8 : 9 : 11 हो जाता है। साझेदार R द्वारा जोड़ी गई राशि (₹ में) ज्ञात कीजिए।

This Question Asked In:
CGL MAINS 2026, SSC
  • A. ₹10,000
  • B. ₹12,500
  • C. ₹15,000
  • D. ₹18,000
Correct Answer :A - ₹10,000
Detailed Solution Video
Video Credit –Nikhil Sharma Maths
Detailed Text Solution

Let initial investments be 6x, 7x, and 9x.

After adding amounts:
P = 6x + 30000
Q = 7x + 25000
R = 9x + y

New ratio = 8 : 9 : 11.

So,
(6x + 30000)/8 = (7x + 25000)/9.

Cross multiplying:
9(6x + 30000) = 8(7x + 25000)
54x + 270000 = 56x + 200000
70000 = 2x
x = 35000.

Initial investments:
P = 210000
Q = 245000
R = 315000.

Final P = 210000 + 30000 = 240000.

Since ratio part 8 corresponds to 240000,
1 part = 30000.

R final = 11 × 30000 = 330000.

Amount added by R = 330000 − 315000 = ₹10,000.

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