Money invested by six persons A–F at simple interest, with rate, time and a rupee value. Dashes are missing and to be calculated.

Person	Rate of Interest	Time	Value (Rs)
A	6%	—	18000
B	6%	—	30000
C	—	5 years	29000
D	—	3 years	45000
E	8%	—	20000
F	—	2 years	60000

If the difference between the interest received by E and B is Rs 4200, and E invested his money for double the period for which B invested his money, then the amount received by E is:

ARs 30000

BRs 28600

CRs 29600 ✓ Correct

DRs 35400

Correct answer: (C) Rs 29600

Explanation

The amount received by E is Rs 29600.

Let B's period be T years, so E's period is 2T years.

E invests 20000 at 8 percent and B invests 30000 at 6 percent.

The interest difference gives 3200T minus 1800T equal to 4200.

Solving gives T equal to 3 years, so E's period is 6 years.

E's interest is 9600, and adding the principal 20000 gives Rs 29600.

Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.