The price of Hand-sanitizer is first increased by 10% , then increased by Rs.120. Finally, the price of Hand-sanitizer is increased by 12%. If final price of the sanitizer is Rs.1120, then find the total percent increment in the price of sanitizer? *
a) 35%
b) 45%
c) 40%
d) 25%
Answers
Answer:
45% answer am I right zhjshs
Solution :-
Let us assume that, the initial price of Hand-sanitizer is Rs. 100x .
So,
→ Price increased by = 10%
then,
→ New price = 110% of initial price = (110 * 100x)/100 = Rs. 110x
now,
→ New price of Hand-sanitizer = Rs. 110x
agin,
→ Price Increased by = Rs. 120
then,
→ New price = Rs.(110x + 120)
finally,
→ New price of Hand-sanitizer = Rs.(110x + 120)
again,
→ Price Increased by = 12%
then,
→ Final price = 112% of Rs.(110x + 120)
A/q,
→ (112/100)(110x + 120) = 1120
→ 112(110x + 120) = 1120 * 100
→ 110x + 120 = 1000
→ 110x = 1000 - 120
→ 110x = 880
→ x = 8
therefore,
→ Initial price of Hand-sanitizer = 100x = 100 * 8 = Rs.800 .
→ Final price of Hand-sanitizer = Rs.1120
So,
→ Increment in the price of Hand-sanitizer = 1120 - 800 = Rs.320
hence,
→ Required % increment = (320 * 100)/800 = 40% (Ans.) (C)
Hence, the total percent increment in the price of sanitizer is equal to 40% .
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