Question

Find the time when simple interest on Rs.12000 at 6½ % per annum is Rs.2730.​

Answer 1

321

Step-by-step explanation:

S.I.=Rs.2730

Principal(P)=Rs.12000

Rate(R)=621%=213% p.a.

∴Time=P×RS.I.×100

=12000×132730×100×2=27 years

=321 years

Answer 2

Given :-

• Simple Interest (S.I.) = Rs. 2730
• Principal (P) = Rs. 12000
• Rate (R) = $\sf 6 \frac{1}{2}$ % = $\sf \frac{13}{2}$ per annum

To Find :-

• Time (T) = (?)

Answer :-

• T = $\sf 3\frac{1}{2} Years$

Explanation :-

• S.I. = $\sf \frac{P × R × T }{100}$

• 2730 = $\sf \frac{12000 × \frac{13}{2} × T }{100}$

• 2730 × 100 = $\sf \frac{12000 × 13 × T}{2}$

• 273000 = $\sf \frac{\cancel{12000}^{ \: \: 6000} × 13 × T}{\cancel2}$

• 273000 = $\sf 6000 × 13 × T$

• 273000 = $\sf 78000 × T$

• T = $\sf \frac{273000}{78000}$

• T = $\sf \frac{\cancel{273000}^{ \: \: 7}}{\cancel{78000}_{\: \: 2}}$

• T = $\sf \frac{7}{2} Years$

• T = $\sf 3\frac{1}{2} Years$

I hope it helps you ❤️✔️