Question

The average price of 3 precious diamond studed
platinum thrones is 97,610,498,312 if their
prices are in the ratio 4:7:9. The price of the
cheapest is​

Answer 1

Answer:

Cheapest price of DIAMOND:56,566,298,987.20

Step-by-step explanation:

To find the cheapest diamond ,if The average price of 3 precious diamond studed platinum thrones is 97,610,498,312 if their

prices are in the ratio 4:7:9.

We know that average of n terms

$average = \frac{x1 + x2 + x3}{3} \\ \\ x1 + x2 + x3 = 3 \times 97,610,498,312 \\ \\ x1 + x2 + x3 = 282831494936$

Total cost of all diamonds =282,831,494,936

Let the common factor of the ratio is x

$4x + 7x + 9x = 282831494936 \\ \\ 20x = 282831494936 \\ \\ x = \frac{282831494936}{20} \\ \\ x = 14,141,574,746.80$

So

Cost of first diamond(cheapest) stud = 4x

= 14,141,574,746.8 × 4

=56,566,298,987.20 Rs

Hope it helps you.