A man lends ₹10,000 in four parts. If he gets 8% on ₹2000; 71/2\% on ₹4000 and 81/2\% on ₹1400; what percent must he get for the remainder, if his average annual interest is 8.13%?

ABC26GN4096 · Simple Interest

Subject: General Aptitude · Chapter: Simple Interest · Exam: · Marks: · Difficulty:

A man lends ₹10,000 in four parts. If he gets 8% on ₹2000; $7\frac{1}{2}\%$ on ₹4000 and $8\frac{1}{2}\%$ on ₹1400; what percent must he get for the remainder, if his average annual interest is 8.13%?

(a)7%

(b)9% 1 1

(c)9 %

(d)10 % 4 2

Answer

Answer (as printed): B

Explanation

Let the required rate be R. Then,  2000 × 8 × 1   15 1   17 1    +  4000 × ×  +  1400 × ×   100   2 100   2 100   1  +  2600 × R ×   100   813  =  × 10000   10000  ⇔ 160 + 300 + 119 + 26R = 813 ⇔ R = 9.

Explanation as extracted from the printed page; notation may be imperfect.

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