By mistake a clerk, calculate the simple interest on principle for $5$ months at $6.5 % p . a .$ instead of $6$ months at $5.5 % p . a .$ If the error in calculation was $R s .25 .40$ . The original sum of principle was:

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Solution

Actual $S I = \frac{P \times 5.5 \times 6}{100} = \frac{33 p}{100} 0.33 p$
Calculated $S I = \frac{P \times 5 \times 6.5}{100} \frac{32.5 p}{100} = 0.325 p$
Error in calculation $= R s .25 .40 = 0.33 p - 0325 p ⟹ p = 5080$
Hence, original sum of principle $= R s .5, 080$

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By mistake a clerk, calculate the simple interest on principle for 5 months at 6.5% p.a. instead of 6 months at 5.5% p.a. If the error in calculation was Rs.25.40. The original sum of principle was:

Actual SI=P×5.5×6100=33p1000.33pCalculated SI=P×5×6.510032.5p100=0.325pError in calculation=Rs.25.40=0.33p−0325p⟹p=5080Hence, original sum of principle=Rs.5,080

By mistake a clerk, calculate the simple interest on principle for $5$ months at $6.5 % p . a .$ instead of $6$ months at $5.5 % p . a .$ If the error in calculation was $R s .25 .40$ . The original sum of principle was:

Actual $S I = \frac{P \times 5.5 \times 6}{100} = \frac{33 p}{100} 0.33 p$
Calculated $S I = \frac{P \times 5 \times 6.5}{100} \frac{32.5 p}{100} = 0.325 p$
Error in calculation $= R s .25 .40 = 0.33 p - 0325 p ⟹ p = 5080$
Hence, original sum of principle $= R s .5, 080$