A mask manufacturing company manufactured ‘X’ number of masks in 2018. It increased its manufacturing capacity by 30% in 2019 and further increased its manufacturing by 15% in 2020. In 2021, due to the machinery breakdown, its manufacturing declined by 40%. What is the value of ‘X’ if it manufactured 179400 masks in 2021?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 1)

Answer 1

Given:

30% increased in 2019

15% increased i. 2020

40% decreased in 2021

Mask manufactured in 2021 = 179400

Formula used:

Increased % = 100 + increased

Decreased % = 100 - decreased

Calculations:

⇒ Mask manufactured in 2019 = X × (100 + 30) = X × 130%

⇒ Mask manufactured in 2020 = (130%X) × (100 + 15) = 115% (130% of X)

⇒ Mask manufactured in 2021 = 115% (130% of X) × (100 - 40) = 60% ( 115%( 130% of X))

But according to the question,

⇒ Manufactured in 2021 = 179400

So,

⇒ 60%{115%(130% of X)} = 179400

⇒ \(\frac{X × 60×115×130}{100×100×100}= 179400\)

⇒ X = \(\frac{179400 × 100×100×100}{60×130×115} \)

⇒ X = 200000

⇒ Hence, The manufacture of mask in 2018 is 200000

Shortcut Trick

So, 897 unit → 179400

then, 1000 unit → 179400/897 × 1000 = 200000