The simple interest on a certain sum at 5% per annum for 3 years and 4 years dif

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The simple interest on a certain sum at 5% per annum for 3 years and 4 years differ by Rs.42. The sum is :

Options:

A . Rs.280

B . Rs.210

C . Rs.840

D . Rs.750

Answer: Option C
Answer: (c)According to question,Interest of one year = Rs.42Rate = 5% and Time = 1 yearPrincipal = $\text"Interest × 100"/\text"Rate × Time"$= ${42 × 100}/{5 × 1}$ = Rs.840 Using Rule 13The difference between the S.I. for a certain sum $P_1$ deposited for time $T_1$ at $R_1$ rate of interest and another sum $P_2$ deposited for time $T_2$ at $R_2$ rate of interest isS.I. = ${P_2R_2T_2 - P_1R_1T_1}/100$

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