1.

Rs. 1290 is divided among A, B and C in such a way that the ratio of amounts of A and B is 5: 6 and that of B and C is 4 : 7. Find the amounts (in rupees) received by each in alphabetic order.1). Rs. 224, Rs. 560, Rs. 1682). Rs. 198, Rs. 300, Rs. 2243). Rs. 300, Rs. 300, Rs. 1684). Rs. 300, Rs. 360, Rs. 630

Answer»

RATIO of amount of A and B = 5 : 6 = 5/6 = (5 × 2)/(6 × 2) =10/12

Ratio of amount of B and C = 4 : 7 = 4/7 = (4 × 3)/(7 × 3) = 12/21

∴ Ratio of SHARES of A, B and C = 10 : 12 : 21

Given,

Amount to be divided = Rs. 1290

SHARE of A $(= \frac{{10}}{{10 + 12 + 21}} \times 1290 = \frac{{10}}{{43}} \times 1290 = Rs.\ 300)$

∴ Share of B $(= \frac{{12}}{{10 + 12 + 21}} \times 1290 = \frac{{12}}{{43}} \times 1290 = Rs.\ 360)$

∴ Share of C$(= \frac{{21}}{{10 + 12 + 21}} \times 1290 = \frac{{21}}{{43}} \times 1290 = Rs.\ 630)$


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