English

Radhika borrowed ₹ 12000 from her friends. Out of which ₹ 4000 were borrowed at 18% and the remaining at 15% rate of interest per annum. What is the total interest after 3 years?

Advertisements
Advertisements

Question

Radhika borrowed ₹ 12000 from her friends. Out of which ₹ 4000 were borrowed at 18% and the remaining at 15% rate of interest per annum. What is the total interest after 3 years?

Sum
Advertisements

Solution

For first-year interest, we have

P1 = ₹ 4000, R1 = 18% and T1 = 3 years

∵ `I_1 = (P_1 xx R_1 xx T_1)/100`

∴ `I_1 = (4000 xx 18 xx 3)/100` = ₹ 2160

For second-year interest,

P2 = 12000 – 4000 = ₹ 8000

R2 = 15% and T2 = 3 years

∵  `I_2 = (P_2 xx R_2 xx T_2)/100`

∴  `I_2 = (8000 xx 15 xx 3)/100` = ₹ 3600

Hence, after 3 years, total interest = I1 + I2 = 2160 + 3600 = ₹ 5760

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Comparing Quantities - Exercise [Page 207]

APPEARS IN

NCERT Exemplar Mathematics Exemplar Class 7
Chapter 7 Comparing Quantities
Exercise | Q 107. | Page 207

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A sum of money, lent out at simple interest, doubles itself in 8 years. Find :
(i) the rate of interest
(ii) in how many years will the sum become triple (three times) of itself at the same rate percent?


Angela deposited 15000 rupees in a bank at a rate of 9 p.c.p.a. She got simple interest amounting to 5400 rupees. For how many years had she deposited the amount?


A sum of ₹ 48,000 was lent out at simple interest and at the end of 2 years and 3 months the total amount was ₹ 55,560. Find the rate of interest per year


The value of a machine depreciates at 10% per year. If the present value is ₹ 1,62,000, what is the worth of the machine after two years?


In simple interest, a sum of money amounts to ₹ 6,200 in 2 years and ₹ 6,800 in 3 years. Find the principal and rate of interest.


Given the principal = Rs 40,000, rate of interest = 8% p.a. compounded annually. Find Interest for 2nd year.


Bhavya earns ₹ 50,000 per month and spends 80% of it. Due to pay revision, her monthly income increases by 20% but due to price rise, she has to spend 20% more. Find her new savings.


Divide ₹ 10000 in two parts so that the simple interest on the first part for 4 years at 12 per cent per annum may be equal to the simple interest on the second part for 4.5 years at 16 per cent per annum.


In how many years will the simple interest on a certain sum be 4.05 times the principal at 13.5 per cent per annum?


The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹ 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×