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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? - Mathematics

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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

Solution

For first-year interest, we have

P1 = ₹ 4000, R1 = 18% and T1 = 3 yr

∵ I1 = `(P_1 xx R_1 xx T_1)/100`

∴ I1 = `(4000 xx 18 xx 3)/100` = ₹ 2160

For second-year interest,

P2 = 12000 – 4000 = ₹ 8000

R2 = 15% and T2 = 3 yr

∵  I2 = `(P_2 xx R_2 xx T_2)/100`

∴  I2 = `(8000 xx 15 xx 3)/100` = ₹ 3600

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

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Chapter 7: Comparing Quantities - Exercise [Page 207]

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

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