Question

Solve the following :

A property valued at ₹7,00,000 is insured to the extent of  ₹5,60,000 at `(5/8)^"th"` % less 20%. . Calculate the saving made in the premium.Find the amount of loss that the owner must bear, including premium, if the property is damaged to the extent of 40 % of its value.

Answer 1

Given, Property value = ₹7,00,000,
Policy value = ₹5,60,000,

Rate of perimum = `(5)/(8)`% less 20%

Now, for the rate of perimu = `(5)/(8)`%

Amount of perimum = `(5)/(8)`% of policy value

= `(5)/(8) xx (1)/(100) xx 5,60,000`
= ₹3,500
For the rate of perimum
= `(5)/(8)`% less 20%

= `(5/8 - 20%  "of"  5/8)`

= `(5/8 - 20/100 xx 5/8)`%

= `(5/8 - 1/8)`%

= `(4)/(8)`%

= `(1)/(2)`%
Amount of perimum = `(1)/(2)`% of policy value

= `(1)/(2) xx (1)/(100) xx 5,60,000`
= ₹2,800
∴ Savings made in the premium

= premium on `(5)/(8)`% – premium on `(1)/(2)`%

= 3,500 – 2,800
= ₹700
∴ Savings made in the premium is ₹700.
Now, the property is damaged to the extent of 40% of its value.
∴ Value of damaged property (loss)
= 40% of property value

= `(40)/(100) xx 7,00,000` = ₹2,80,000

Since, Claim = `"Policy value"/"Property value" xx "Loss"`

= `(5,60,000)/(7,00,000) xx 2,80,000`
∴ Claim = ₹2,24,000
∴ Loss borne by the owner including premium

= (Loss – Claim) + Premium on `(1)/(2)`%

= (2,80,000 – 2,24,000) + 2,800
= 56,000 + 2,800
= ₹58,800
∴ Loss borne by the owner including the premium is ₹58,800.