Question
Download Solution PDFA 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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
⇒
⇒ X =
⇒ X = 200000
⇒ Hence, The manufacture of mask in 2018 is 200000
Shortcut Trick
| Before | After | |
| In 2018-2019 | 10 | 13 |
| In 2019-2020 | 20 | 23 |
| In 2020-2021 | 5 | 3 |
| Net | 1000 | 897 |
So, 897 unit → 179400
then, 1000 unit → 179400/897 × 1000 = 200000
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