After a 20\% increase, a jacket costs 60. What was its original price?

Worked solution for TMUA-P1-MNUM-008 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MNUM-008 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-008 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-008?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-008 is set for a no-calculator target of about 180 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MNUM-008?

TMUA-P1-MNUM-008 is Paper P1 · Number (specification code M-Num), level 2. Drill more of the same topic from this page.

TMUA-P1-MNUM-008 — Paper P1 · Number · Level 2

P1M-NumLevel 2~180s target

Spec: M-Num · No calculator · ~180s

After a

20\%

increase, a jacket costs

\pounds 60

. What was its original price?

Options

$\pounds 72$
$\pounds 48$
$\pounds 52$
$\pounds 45$
$\pounds 50$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: reverse-percentage, percentage-of-wrong-base. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Divide by the multiplier

1.2

60 / 1.2 = 50

, so the original price was

\pounds 50

. Trap:

\pounds 48

subtracts

20\%

of the new price — plausible but wrong, since the

20\%

applied to the unknown original.

Keep practising

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Step up a level
P1M-NumLevel 3
TMUA-P1-MNUM-011
4000 is invested. It grows by 5\% in year one, then falls by 5\% in year two. What is its final value?
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Browse more

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Keep practising

Same topic · same level

P1M-NumLevel 2

TMUA-P1-MNUM-005

What is the lowest common multiple (LCM) of 12, 18 and 20?

Number

Open TMUA-P1-MNUM-005 →

Same trap: reverse-percentage

P1M-NumLevel 2

TMUA-P1-MNUM-027

After a 25\% decrease, a coat costs 45. What was its original price?

Number

Open TMUA-P1-MNUM-027 →

Step up a level

P1M-NumLevel 3

TMUA-P1-MNUM-011

4000 is invested. It grows by 5\% in year one, then falls by 5\% in year two. What is its final value?

Number

Open TMUA-P1-MNUM-011 →

TMUA-P1-MNUM-008 — Paper P1 · Number · Level 2

Options

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Master Number

TMUA-P1-MNUM-008 — Paper P1 · Number · Level 2

Options

Keep practising

Master Number