Once you attempt the question then PrepInsta explanation will be displayed.

From the above, given:-

P= Rs 20,0000

Time= 5 years

Amount= 30,000

R1 = ?

R2 = 7%p.a

Therefore, SI = A - P

= Rs 30,000 - Rs 20,000

= Rs 10,000

We know that,

SI = \frac{P*R*T}{100}[\latex]

R = \frac{\left ( SI * 100 \right )}{P * T}[\latex]

= \frac{\left ( 10000 * 100 \right )}{20000 * 5}[\latex]

= 10 % p.a

Now from the question,

New Principal, = Rs 20,000+ Rs 5,000

= Rs 25,000

Therefore, the new SI

= \frac{\left ( P * R * T \right )}{100}[\latex]

= \frac{\left ( 25000* 10 *5 \right )}{100}[\latex]

=Rs 12,500

New Amount = Rs (25000+ 12,500)

= Rs 37,500