SSC MTS 2023 PYQ — Question 15

SSC MTS - 02 May 2023 - Shift 2 • Quantitative Aptitude • Q15

Divide Rs.14136 among A, B, and C such that 2 times A's share, 3 times B's share, and 5 times C's share are all equal. What is the share of C?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. Rs. 2736.

Let the share of A, B, and C be A, B, and C respectively

According to the question

2A = 3B = 5C

Let them be equal to k

Hence, A = k2\frac{k}{2}, B = k3\frac{k}{3}, c = k5\frac{k}{5}

Hence, A + B + C = 15k+10k+6k30\frac{15k + 10k + 6k}{30} = 31k30\frac{31k}{30}

14136 = 31k30\frac{31k}{30}

⇒ k = 13680

Hence C's share = 136805\frac{13680}{5} = 2736.