Question

A man invested `1/3` of his capital at 7%; `1/4` at 8% and the remainder at 10%. If his annual income is ₹ 561, the capital is

Options

• ₹ 5400

• ₹ 6000

• ₹ 6600

• ₹ 7200

Answer 1

₹ 6600

Explanation:

Let total capital be ₹ x.

Then, `(x/3 xx 7/100 xx 1) + (x/4 xx 8/100 xx 1) + ((5x)/12 xx 10/100 xx 1)` = 561

`<=> (7x)/300 + x/50 + x/24` = 561

`<=> 51x = (561 xx 600)`

`<=> x = ((561 xx 600)/51)` = 6600