# ₹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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