Kirti invested a sum of money at a certain rate of simple interest per annum for 3 years in "Bachat scheme". Had she invested the same sum in "Shiksha scheme" for 3 years which has a 2% higher simple interest rate per annum, the investment would have fetched ₹ 540 more. How much did Kirti invest?

₹9,000

By using formula ,

Simple Interest = \(\frac{Principal × Rate × Time }{100}\)

Amount = Principal + Simple Interest

Simple Interest in " Bachat Scheme" = \(\frac{P × R × 3 }{100}\)

Simple Interest in " Shiksha Scheme" = \(\frac{P ×( R+2) × 3 }{100}\)

ATQ,

[ P + \(\frac{P ×( R+2) × 3 }{100}\) ] - [ P + \(\frac{P ×R × 3 }{100}\) ] = Rs. 540

\(\frac{P ×( R+2) × 3 }{100}\) -  \(\frac{P ×R × 3 }{100}\)= Rs. 540

P ×R ×3 + p ×6 - P ×R × 3 = 54000

p ×6 = 54000

P = \(\frac{54000}{6 }\)

= Rs.9000