# Percentage Calculator

# Rounding Rules Calculator

This calculator provides a rounded, discounted fare result when provided with an un-discounted fare price and a percentage discount value^{*}.

^{*} as defined in **RSPS7001 02-06**, **Page 41**.

Note: This only evaluates the rounding rules for the **“Child/Railcard/ Other % discount”** column in the **“Single/Return – 1ST/STD Class”** and **“Season Tickets set explicitly by TOC -1ST/STD Class”** rows.

## Application of RSPS7001 02-06 Standard

RSPS7001 02-06, Page 41 states that to apply rounding on discounts, the following steps should be taken;

- 1.
**Multiply Adult Fare by % discount.***(e.g. a 34% discount would be calculated by multiplying the adult fare by 0.66).* - 2.
**If result in Step 1 is not a multiple of 5p, round**to next multiple of 5p.__down__

For example, a full fare costing £24.20 with a railcard 34% discount^{**} would be worked out:

- 1. £24.20 * 0.66 = £15.972
- 2. £15.972 rounded down to nearest 5p =
**£15.95**

^{**}Source: https://internal.nationalrail.co.uk/

**JOURNEYRIGHT ADVISORY**

If using a system that only allows for 2 decimal places, there can be a discrepancy in certain results.

*For example, £173.10 * 0.66 = £114.246*

Using only 2 decimal places could result in rounding £114.246 to a final price of £114.25. Adhering to the standard should mean that .246 is rounded down to .20, resulting in the correctly rounded final amount of **£114.20**.

**Therefore to conform to the RSPS7001 02-06 standard correctly, you must ensure that the system calculating the fare does not round up to 2 decimal places, before rounding down to the nearest 5p.**

One potential example of this could include a spreadsheet with formatted cells set to “currency”.