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SSC CPO 2019 PYQ — Question 117

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q117

Back to paper

A invests `6,00,000 more than B in a business. B invests his capital for 7½ months, while A invests his capital for 2½ more months than B.

Out of the total profit of `12,40,000, if the share of B is `2,48,000 less than the share of A, then the capital of B is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 48,00,000

Understanding Application
Tricks

Let the capital of B is x

So the capital of A is (x + 600,000)

A B
(x + 600,000) × 10 x × 15/2
10x + 6,000,000 15x/2

Total invest = (20x + 12,000,000 + 15x)/2

= (35x + 12,000,000)/2
Now

According to question

⇒ 2(10x + 6,000,000) × 12,40,000/(35x + 12,000,000) = 2,48,000 + (15x × 12,40,000)/(35x + 12,000,000)

⇒ (20x + 12,000,000)12,40,000 = 248,000(35x + 12,000,000) + 1,86,00,000x

⇒ 2,48,00,000x + 12,000,000 × 12,40,000 = 2976,000,000,000 + 8,680,000x + 1,86,00,000x
Hence x = 48,00,000