Solution
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | ||||
| France | — | ||||
| India | — | ||||
| Japan | — | ||||
| UK | — |
Every question here is about exports, imports, or trade surplus between two countries, so the most useful object to build is a single bilateral import matrix.
Each row is the importing country.
Each column is the source country it imports from.
A cell therefore holds the value of imports of the row country from the column country, in billion USD.
The passage states that imports of one country from another equal the exports of the latter to the former.
So this one matrix also gives every export figure: the export of to is just the cell in row , column .
Trade surplus of with = exports from to − imports of from = cell − cell.
The two charts are linked by:
import tariff amount = tariff percentage import value.
So
import value ,
where the percentage is read from the radar chart and the amount from the bar chart.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 10 | |||
| France | — | ||||
| India | — | ||||
| Japan | — | ||||
| UK | — |
Imports of US from UK is filled using the worked example.
The US levied a tariff amount of billion on the UK (bar chart).
The US tariff percentage on the UK is (radar chart).
So imports of US from UK
.
This is the template applied to every remaining cell.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | — | ||||
| India | — | ||||
| Japan | — | ||||
| UK | — |
Imports of US from France is filled in.
US tariff percentage on France (radar).
Tariff amount (bar).
So imports of US from France
.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | 15 | — | |||
| India | — | ||||
| Japan | — | ||||
| UK | — |
Imports of France from US is filled in.
France tariff percentage on US (radar).
Tariff amount (bar).
So imports of France from US
.
This pairs with the cell US←France for the France–US balance.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | 15 | — | |||
| India | — | ||||
| Japan | — | ||||
| UK | 12 | — |
Imports of UK from US is filled in.
UK tariff percentage on US (radar).
Tariff amount (bar).
So imports of UK from US
.
With US←UK already known, the US–UK balance is now complete.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | 15 | — | |||
| India | — | 7 | |||
| Japan | — | ||||
| UK | 12 | — |
Imports of India from Japan is filled in.
India tariff percentage on Japan (radar).
Tariff amount (bar).
So imports of India from Japan
.
Since exports of Japan to India equal imports of India from Japan, this cell is also Japan's export to India.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | 15 | — | |||
| India | — | 7 | 25 | ||
| Japan | — | ||||
| UK | 12 | 10 | — |
Imports of India from UK and imports of UK from India are filled in.
India tariff percentage on UK , amount :
.
UK tariff percentage on India , amount :
.
These two cells fix the India–UK balance.
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | 15 | — | 18 | ||
| India | — | 7 | 25 | ||
| Japan | 12 | — | |||
| UK | 12 | 10 | 15 | — |
Three comparison cells are filled in.
UK from Japan: , amount → (exports of Japan to UK).
Japan from France: , amount → (exports of France to Japan).
France from India: , amount → .
| Imports of ↓ from → | US | France | India | Japan | UK |
|---|---|---|---|---|---|
| US | — | 20 | 10 | ||
| France | 15 | — | 18 | ||
| India | — | 7 | 25 | ||
| Japan | 12 | — | |||
| UK | 12 | 10 | 15 | — |
All cells needed for the four questions are now determined.
The trade balances follow directly using surplus = cell − cell.
India with UK:
(a deficit of ).
France with US:
(a surplus).
UK with US:
(a deficit).
The comparison cells give: US from France , Japan to UK , France to Japan , France from India , so US from France is the largest of these.
Trade surplus of India with UK = exports India→UK − imports India←UK.
Exports India→UK = imports of UK from India .
Imports India←UK = imports of India from UK .
Surplus , which is a deficit of .
Answer: Deficit of 15.0 Billion USD (option 4).