Ram loses 12\(\frac{1}{2}\)% of his money and after spending 75% of the remainder, is left with Rs. 630. How much money did Ram have initially?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)

Answer 1

Given:

Ram loses 12\(\frac{1}{2}\)% and after spending 75% of the remaining, he is left with Rs. 630

Calculation:

Let Ram initially have to be Rs. 100a

100a × 12\(\frac{1}{2}\)%

⇒ 12\(\frac{1}{2}\)a

So,

Remaining money = 100a - 12.5a

⇒ Rs. 87.5a

87.5a × 25/100 = Rs. 630

⇒ 87.5a = 630 × 4

⇒ 87.5a = 2520

⇒ a = 2520/87.5

⇒ a = 28.8

So, 100a = 2880

∴ The correct answer is Rs. 2880.

Shortcut Trick

We know, 12\(\frac{1}{2}\)% = 1/8 and 75% = 3/4,

So, 7 unit → 630,

Then, 32 unit → 630/7 × 32 = Rs.2880