1.

If a : b = 4 : 5 and a : c = 3 : 4, then find b : c.1. 15 : 162. 3 : 53. 5 : 44. 13 : 14

Answer» Correct Answer - Option 1 : 15 : 16

Given:

a : b = 4 : 5 and a : c = 3 : 4

Calculation:

To find a : b : c, a is made same in both the ratios,

Now, a/b = 4/5

⇒ b = 5a/4      ----(1)

And a/c = 3/4

⇒ c = 4a/3      ----(2)\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWGHbGaaiiOaiaacQdacaWGIbGaeyypa0JaaiiOamaalaaapaqa % a8qacaaI0aGaey41aqRaaG4maaWdaeaapeGaaGynaiabgEna0kaaio % daaaGaaiiOaiabg2da9iaacckadaWcaaWdaeaapeGaaGymaiaaikda % a8aabaWdbiaaigdacaaI1aaaaaaa!49ED! a\;:b = \;\frac{{4 \times 3}}{{5 \times 3}}\; = \;\frac{{12}}{{15}}\)

Dividing eq (1) and eq (2) we'll get

⇒ b/c = (5a/4)/(4a/3)

∴  b : c is 15 : 16


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