SarkariPYQ

SSC Selection Post 2022 PYQ — Question 73

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 2 • Quantitative Aptitude • Q73

Back to paper

A certain sum amounts to rupees  ₹12456 in 3121\over2 years at 8.5% p.a. simple interest. What will be the simple interest on the same sum in 6141\over4 years at the same rate of interest?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. ₹5,100.

Let P(Principal) = x

Amount = ₹12456

Time(T) = 7/2 years, Rate(R) = 8.5%

⇒ A = P + PRT100PRT\over100

⇒ 12456 = x + x×8.5×7200x\times8.5\times 7\over200

⇒ 12456 = 200x+59.5x200200x+59.5x\over200

⇒ 259.5x = 1245600

⇒ x = 960000

Now, SI for 25/4 years:

⇒ SI = 9600×8.5×25100×49600\times8.5\times25\over100\times4 = 5100