A shirt costs Rs. 350. If the cost is increased by 10%, then the new cost will be:
1. Rs. 360
2. Rs. 270
3. Rs. 365
4. Rs. 385
1. Rs. 360
2. Rs. 270
3. Rs. 365
4. Rs. 385
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Correct Answer – Option 4 : Rs. 385
Given:
Cost of shirt = Rs. 350
Percentage increase in cost = 10%
Concept:
Percentage Increase = (100 + x)%
Solution:
Let the increased cost of shirt be Rs. x.
Cost of shirt = Rs. 350
Percentage increase in cost = 10%
⇒ New cost = 110% of Previous cost
⇒ x = 110/100 × 350
⇒ x = 385
∴ The new cost of shirt is Rs. 385.
Short Trick/Topper’s Approach:
Percentage increase in cost = 10%
⇒ New cost : Previous cost = 11 : 10 [10% = 1/10]
Previous cost of shirt = Rs. 350
⇒ 1 unit = 350/10 = 35
⇒ New cost of shirt = Rs. 11 × 35
⇒ New cost of shirt = Rs. 385
∴ The new cost of shirt is Rs. 385.