1). 16.38%2). 24.03%3). 28.17%4). 25.75%

1.	1). 16.38%2). 24.03%3). 28.17%4). 25.75%
Answer» We know that, total cost = price of raw materials +labor cost Assume that, INITIAL price of raw materials = R Initial labor cost = 25% of the cost of raw material = 0.25 × R ∴total cost =R + 0.25 × R = 1.25 × R Now, the cost of raw material increases by 15%. Thus, new price of raw materials = R + (15% of R) = 1.15 × R New labor cost = 30% of 1.15R = 0.3 × 1.15R = 0.345R ∴New total cost = new price of raw materials + new labor cost ⇒New total cost = 1.15R + 0.345R = 1.495R Total increase in total cost = 0.245 × R Percentage reduction REQUIRED = $(\frac{{0.245{\rm{\;}} \times {\rm{\;R}}}}{{1.495{\rm{\;}} \times {\rm{\;R}}}} \times 100 = 16.38\% )$

Answer»

We know that, total cost = price of raw materials +labor cost

Assume that, INITIAL price of raw materials = R

Initial labor cost = 25% of the cost of raw material = 0.25 × R

∴total cost =R + 0.25 × R = 1.25 × R

Now, the cost of raw material increases by 15%.

Thus, new price of raw materials = R + (15% of R) = 1.15 × R

New labor cost = 30% of 1.15R = 0.3 × 1.15R = 0.345R

∴New total cost = new price of raw materials + new labor cost

⇒New total cost = 1.15R + 0.345R = 1.495R

Total increase in total cost = 0.245 × R

Percentage reduction REQUIRED = $(\frac{{0.245{\rm{\;}} \times {\rm{\;R}}}}{{1.495{\rm{\;}} \times {\rm{\;R}}}} \times 100 = 16.38\% )$

Discussion

No Comment Found

Related InterviewSolutions

?% of 800 = 293 – 22% of 7501). 142). 183). 124). 16
What is 18% of 45% of 3/8th of8160?1). 2189.282). 76503). 247.864). 436.37
1). 3602). 2803). 2004). 250
1). 40 m2). 45 m3). 48 m4). 50 m
A shopkeeper distributes salaries to his employees P and Q. Total money he distributes to both of them is Rs. 9850, as he adds Rs. 500 to P's salary and Rs. 350 to Q's salary as a bonus, then the ratio of the salary of P to the salary of Q is 90 : 107. Then, what is difference between the original salaries of Q and P?1). Rs. 20002). Rs. 9003). Rs. 10004). Rs. 1200
A shopkeeper had some jeans, out of which he sells 12 % jeans and still has 44 jeans remaining. If he had 25% of total clothes are jeans than what is the number of clothes other than jeans?1).2). 953). 604). 75
If 30% of a number exceeds 20% of the number by 18 then, Find the number.1). 1202). 2003). 1804). 150
Annual income of Sameer is 8 lakh Rs. He spent 15% on Rent, 20% on Food and $\frac{7}{{13}}$ of remaining on Cloth and travel together. Find the difference between total saving and amount spent on travel annually, if ratio between amount spent on Cloth to travel is 9 : 5.1). Rs. 1250002). Rs. 1650003). Rs. 1400004). Rs. 175000
In a college election between two rivals, a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was1). 9002). 8003). 7004). 600
If 1 is added to 30% of a number and the result so obtained is divided by 7, the output is 103. Find the original number.1). 35002). 36003). 32004). 2400