Question

6. A and B together have Rs. 1210. If = th of A's
amount is equal to th of B's amount, how much
amount does B have?
a) Rs. 460 b) Rs. 484 c) Rs. 550
d) Rs. 660
e) None of these​

Answer 1

Answer:

6. A and B together have Rs. 1210. If = th of A's

amount is equal to th of B's amount, how much

amount does B have?

a) Rs. 460

b) Rs. 484✔️✔️

c) Rs. 550

d) Rs. 660

e) None of these

Step-by-step explanation:

$⟹\dfrac{4}{15}A = {2}{5}B$

$⟹A =\dfrac{2}{5} ×\dfrac{15}{4}B$

$⟹ A =\dfrac{3}{2}B$

$⟹\dfrac{A}{B} =\dfrac{3}{2}B$

$⟹ A : B = 3 : 2$

∴ B's share = $Rs \left(1210 ×\dfrac{2}{5}\right)$ $<center>= Rs 484. </center>$