SSC CGL 2025 PYQ — Question 74

SSC CGL - 20 Sep 2025 - Shift 2 • Quantitative Aptitude • Q74

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,

(6x+30000)8(6x + 30000)\over8 = (7x+25000)9(7x + 25000)\over9

⇒ 9(6x + 30000) = 8(7x + 25000)

⇒ 54x + 270000 = 56x + 200000

⇒ 2x = 70000

⇒ x = 35000

Now use the ratio with R:

(6x+30000)8(6x + 30000)\over8 = (9x+y)11(9x + y)\over11

⇒ (6×35000+30000)8(6×35000 + 30000)\over8 = (315000+y)11(315000 + y)\over11

⇒ 2400008240000\over8 = (315000+y)11(315000 + y)\over11

⇒ 30000 =(315000+y)11(315000 + y)\over11

⇒ 330000 = 315000 + y

⇒ y = ₹15000