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

Worked solution for TMUA-P1-MNUM-027 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MNUM-027 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MNUM-027 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MNUM-027?

No — calculators are banned in the TMUA. TMUA-P1-MNUM-027 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-027?

TMUA-P1-MNUM-027 is Paper P1 · Number (specification code M-Num), level 2. Drill more of the same topic from this page.

TMUA-P1-MNUM-027 — Paper P1 · Number · Level 2

P1M-NumLevel 2~180s target

Spec: M-Num · No calculator · ~180s

After a

25\%

decrease, a coat costs

\pounds 45

. What was its original price?

Options

$\pounds 56.25$
$\pounds 54$
$\pounds 60$
$\pounds 36$
$\pounds 70$

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: mratio-reverse-percent, 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

0.75

45 / 0.75 = 60

, so the original price was

\pounds 60

. The

25\%

applied to the unknown original, not to

\pounds 45

.
Trap:

\pounds 56.25

adds

25\%

of the sale price — the percentage of the wrong base.

Keep practising

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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-008

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

Number

Open TMUA-P1-MNUM-008 →

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-027 — Paper P1 · Number · Level 2

Options

Keep practising

Master Number

TMUA-P1-MNUM-027 — Paper P1 · Number · Level 2

Options

Keep practising

Master Number