The weights of Mr. Gupta and Mrs. Gupta are in the ratio 7 : 8 and their combined (total) weight is 120 kg. After taking a dieting course, the weight of Mr. Gupta reduces by 6 kg and the ratio between their weights changes to 5 : 6. Find the reduction of weight of Mrs. Gupta due to this dieting course.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 4
Let the weight of Mr. Gupta be $7 a$ and Mrs. Gupta be $8 a$ .
Their combined weight, $7 a + 8 a = 120 => 15 a = 120 => a = 8$
Hence, weight of Mr. Gupta be $7 a = 56 k g$ and Mrs. Gupta be $8 a = 64 k g$ .
Reduced weight of Mr. Gupta $= 56 k g - 6 k g = 50 k g$
Let the new weight of Mrs. Gupta be $64 - b$ kg where b is the reduction in her weight.
Given, their reduced weights are in the ratio $5 : 6$
$=> 50 : 64 - b = 5 : 6$
$=> \frac{50}{64 - b} = \frac{5}{6}$
$300 = 320 - 5 b$
$5 b = 20$
$b = 4$
Hence, Mrs.,Gupta's weight is reduced by $4 k g$

Suggest Corrections

Similar questions

Q. Mr. and Mrs. Ahuja weight x kg and y kg respectively. They both take a dieting course, at the end of which Mr. Ahuja loses 5 kg and weights as much as his wife weighted before the course. Mr. Ahuja loses 4 kg and weight

\frac{7}{8} t h

of what her husband weighted before the course. From two equations in x and y, find their weights, before taking the dieting course.

Q. Mr. and Mrs. Ahuja weigh

x

kg and

y

kg respectively. They both take a dieting course, at the end of which Mr. Ahuja loses 5 kg and weighs as much as his wife weighed before the course. Mrs. Ahuja loses 4 kg and weighs

\frac{7}{8}

th of what her husband weighed before the course. Form two equations in

x

and

y

, find their weights before taking the dieting course.

Mr. and Mrs. Ahuja weigh x kg and y kg respectively. They both take a dieting course. at the end of which Mr. Ahuja loses 5 kg and weighs as much as his wife weighed before the course.

Mrs. Ahuja loses 4 kg and weighs $\frac{7}{8}$ th of what her husband weighed before the course. Form two equations in x and y to find their weights before taking the dieting course.

Q. Mr. Gupta weighs

82 k g 250 g

. The doctor says he should weigh

65 k g 500 g

. How much weight should Mr.Gupta lose?

Q. Mr. Gupta has taken a debt at the rate of

7 \frac{1}{2}

% p.a. After

3 \frac{1}{2}

years,he redeems himself the debt by paying a sum of Rs.

4545

. Find the sum borrowed by Mr. Gupta.

Join BYJU'S Learning Program