**Statements Linked Answer Questions**

100 fibres were tested for maturity. The normal (N) and thin walled (T) fibres were found to be 60 and 20 respectively

###### Question 85 (Textile Engineering & Fibre Science)

If the number of matured fibres increases by 10% with number of thin walled fibres remaining the same, the percent increase in maturity ratio would be

(A) | 5.6 |

(B) | 6.6 |

(C) | 8.3 |

(D) | 10 |

**[Show Answer]**

Option B is correct.

Given in the question-

Normal fibre()=60

Normal fibre()=60+60 x 10%

Normal fibre()=60+6

Normal fibre()=66

Thin walled fibre(T)=20

The maturity ratio=?

Here, we aasume 100 total number of fibres

Then , Dead fibres(D1)=100-N-T

D1=100-60-20

D1=20

By formula-

Maturity ratio1(M.R1)=0.9

And

Dead fibres(D2)=100-N2-T

Dead fibres(D2)=100-66-20

Dead fibres(D2)=14

Maturity ratio2(M.R.2)=0.96

Now,

The percent increase in maturity ratio=(M.R.2-M.R.1) x 100/M.R. 1

The percent increase in maturity ratio=(0.96-0.9) x 100/0.9

The percent increase in maturity ratio=0.06 x 100/0.9

The percent increase in maturity ratio=6.66 (Ans)