IPMAT Indore 2026 · Quantitative Ability · Question 7

IPMAT Indore 2026 previous year question on Percentage, with the answer and a step-by-step solution.

PercentageArithmeticType in the answer (TITA)Medium

The Celsius scale of temperature can be converted to Fahrenheit scale using the relationship F=1.8C+32, where F and C are temperature recorded in degrees Fahrenheit and Celsius, respectively. Ajay noted down the temperature of a chemical reaction as x degrees Fahrenheit but reported it as x degrees Celsius by mistake. If this led to a recording of the temperature that was 144% higher than the actual temperature in Celsius scale, then x equals ____

Answer & solution

Answer: 122

Step 1 — identify the two numbers being compared.

The actual temperature in Celsius is C, where x=1.8C+32 (since x was the Fahrenheit reading).

The reported temperature in Celsius is the number x itself.

Step 2 — translate “144% higher”. Higher by 144% means the reported value is 244\% of the actual:

x=C\left( 1+1.44 \right)=2.44\,C

Step 3 — substitute C=\frac{x-32}{1.8}.

x=2.44\times \frac{x-32}{1.8}

Step 4 — solve.

1.8x=2.44x-78.08 \Rightarrow 0.64x=78.08 \Rightarrow x=122

Check: {122}^{∘}F is \left( 122-32 \right)/1.8={50}^{∘}C, and 122 is indeed 144\% more than 50. ✓

Answer: 122

Shortcut. “144% higher” means multiply by 2.44, not 1.44 — that single word costs more marks than the algebra. Spot that {122}^{∘}F={50}^{∘}C and the check is instant.

IPMAT Indore 2026 · Quantitative Ability · Question 7

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