Question

Find 150 percentage of x if x is the least number which when divided by 6, 7, 8, 9 and 12 leaves remainder 2, 3, 4, 5 and 8 respectively is

Answer 1

Answer:

Step 1: Subtract 2,3,4,5 and 8 from  6, 7, 8, 9 and 12 respectively.

we get the numbers 4, 4, 4, 4, 4

Step 2: Find L.C.M. of 4,4,4,4,4

L.C.M.=4

Step: 150% of 4= 6

therefore required answer=6

Answer 2

The required answer is 750.

Step-by-step explanation:

Consider the provided information.

First find the LCM of 6, 7, 8, 9 and 12.

6 = 2×3

7 = 1×7

8 = 2×2×2

9 = 3×3

12 = 2×2×3

The required LCM is 2×2×2×3×3×7 = 504

Thus, 504 is the least number which is divisible by 6, 7, 8, 9 and 12.

Now subtract the remained from the provided number.

6-2=4

7-3=4

8-4=4

9-5=4

12-8=4

Subtract 4 from the LCM.

504-4=500

Hence, the least number which when divided by 6, 7, 8, 9 and 12 leaves remainder 2, 3, 4, 5 and 8 respectively is 500.

The 150% of the number is:

$\frac{500}{100}\times 150=750$

Hence, 150 percentage of 500 is 750.

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