₹6400 were lent to Feroz and Rashmi at 15% per annum for 3 1/2 and 5 years respectively. The difference in the interest paid by them is ₹150. State whether the statement is true or false
Solution:
₹6400 were lent to Feroz and Rashmi at 15% per annum for 3 1/2 and 5 years respectively.
The difference in the interest paid by them is ₹150.
We have to determine if the given statement is true or false.
Considering Feroz,
P = ₹6400
R = 15%
T = 3 1/2 years = 3 + 1/2 = 7/2 years
I = P × R × T/100
= 6400 × 15 × 7/100 × 2
= 64 × 15 × 7/2
= 32 × 15 × 7
= ₹3360
Considering Rashmi,
P = ₹6400
R = 15%
T = 5 years
I = P × R × T/100
= 6400 × 15 × 5/100
= 64 × 15 × 5
= ₹4800
Difference in interest = 4800 - 3360
= ₹1440
Therefore, the given statement is false.
✦ Try This: ₹8000 were lent to Fatima and Ram at 10% per annum for 2 1/2 and 4 years respectively. The difference in the interest paid by them is ₹190. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8
NCERT Exemplar Class 7 Maths Chapter 7 Problem 78
₹6400 were lent to Feroz and Rashmi at 15% per annum for 3 1/2 and 5 years respectively. The difference in the interest paid by them is ₹150. State whether the statement is true or false
Summary:
The given statement,”₹6400 were lent to Feroz and Rashmi at 15% per annum for 3 1/2 and 5 years respectively. The difference in the interest paid by them is ₹150” is false.
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