SSC MTS 2022 PYQ — Question 68

SSC MTS - 25 July 2022 - Shift 1 • Quantitative Aptitude • Q68

What is the difference between a discount of 35% and two successive discounts of 30% and 5% on a bill on ₹10,00,000?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. ₹15,000

Let, the discount of 35% be discount 1 and the successive discounts of 30% and 5% be discount 2.

if x and y are two successive discounts then

the single discount = x + y - xy/100 

Discount 1 = 35% of 10,00,000 = 0.35×10,00,0000.35\times 10,00,000 = 3,50,000

Discount 2 = Succesive discount of 30% and 5% = 30+5+(30×5100)30+5+\left ( \frac{30\times 5}{100} \right )

Discount 2 = 35 + 1.5 = 36.5%

So,

Discount 2 = 36.5% of 10,00,000 = 0.365×10,00,0000.365\times 10,00,000 = 3,65,000

So,

The difference = 3,65,000 - 3,50,000 = 15,000