Multiple choice

Passage

Directions: Study the given information and answer the following question. A loan disbursement company offers different loan interest rates based on types of customers. The following table provides the details: Name Type of interest Principal Amount Year Rate (%) Low income group Compound Rs. 10,000 4 Females Simple Rs. 2,95,000 3 Senior citizens Compound Rs. 20,000 2 3 Students Simple 4 Persons with army background Compound 5 2

If the ratio of principal for senior citizens to that for students is 4 : 5, and the rate of interest for students is 110% of that for senior citizens, then how much will be the interest paid by the students?

  1. Rs. 3300

  2. Rs. 3142

  3. Rs. 3201

  4. Rs. 2890

  5. Rs. 2750

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A Correct answer
Explanation

The students' principal is (5/4) × 20,000 = 25,000. Their rate is 110% of 3%, or 3.3%, and for four years under simple interest the interest is 25,000 × 3.3% × 4 = Rs. 3300.

AI explanation

Given the ratio of the principal for senior citizens to students is 4 to 5, and knowing the principal for senior citizens is Rs. 20,000, the principal for students is calculated as (20000 * 5) / 4, which equals Rs. 25,000. The rate of interest for students is 110% of the senior citizen rate of 3%, making the student rate 3.3%. Since the interest type for students in the table is simple, we calculate the interest using the formula S.I. = (P * R * T) / 100, resulting in (25000 * 3.3 * 4) / 100 = Rs. 3300.