A cargo of rice was insured at 0.625% to cover 80% of its value. The premium paid was ₹5,250. If the price of rice is ₹21 per kg, find the quantity of rice (in kg) in the cargo.

#### Solution

Let the property value of the cargo be ₹ x.

Since, the cargo was insured for 80% of its value,

∴ Policy value = 80% of property value

= `(8)/(100) xx x`

= `(4x)/(5)`

Rate of premium = 0.625%

Amount of premium = ₹5,250

Amount of premium = 0.625% of policy value

∴ 5,250 = `(0.625)/(100) xx (4x)/(5`

∴ x = `(5,250 xx 100 xx 5)/(0.625 xx 4)`

∴ x = ₹10,50,000

∴ Property value of cargo is ₹10,50,000.

i.e., cargo containss rice worth ₹10,50,000

Per kg rate of rice is ₹21.

∴ Capacity of the cargo = `"Value of the cargo"/"Price of 1kg rice"`

= `(10,50,000)/(21)`

= 50,000kgs

∴ The cargo contains 50,000 kgs of rice.